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hep-lat/9210042
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] |
The Isgur-Wise Limit on the Lattice
|
We construct the Isgur-Wise limit of QCD in a form appropriate to lattice gauge theory techniques. The formulation permits a calculation of heavy quark processes even when the momentum transfers are much larger than the inverse lattice spacing. Applications include semi-leptonic heavy quark decay and scattering processes, including the computation of the nonperturbative part of the Isgur-Wise universal function.
|
Jeffrey E. Mandula and Michael C. Ogilvie
|
hep-lat hep-ph
|
October
| 1,992 |
https://arxiv.org/abs/hep-lat/9210042
|
hep-lat/9211001
|
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] |
Pure-gauge SU(2) on large lattices
|
We have calculated the $q\bar q$ potential over a wide range of lattice separations on a $48^3\cdot56$ lattice at $\beta = 2.85$. We are able to investigate both long-range and (by correcting for the effects of lack of rotational invariance) short-range potentials. From the former we estimate the string tension and from the latter we are able to investigate asymptotic scaling. Fitting to this enables us to give an estimate for the $\Lambda$-parameter of pure-gauge SU(2).
|
UKQCD collaboration (presented by P.W. Stephenson)
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211001
|
hep-lat/9211002
|
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] |
The Running Coupling from SU(3) Potentials
|
From an accurate determination of the inter-quark potential, one can study the running coupling constant for a range of $R$-values and hence estimate the scale $\Lambda_{\overline{\rm MS}}$. Detailed results are presented for $SU(3)$ pure gauge theory from a study of a $36^4$ lattice at $\beta=6.5$. (to appear in Proceedings of Lattice 1992 - Amsterdam)
|
UKQCD Collaboration (presented by Chris Michael)
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211002
|
hep-lat/9211003
|
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] |
Hadron Spectroscopy with Dynamical Wilson Fermions at beta=5.3
|
We present results from simulations of lattice QCD using two flavors of dynamical Wilson fermions at a lattice coupling $\beta=5.3$ on $16^3 \times 32$ lattices at two hopping parameters, $\kappa=0.1670$ and $0.1675$, leading to $m_\pi \approx 0.44$ and $0.33$ respectively. We show spectroscopy for S-wave hadrons and compare our results to other recent simulations with dynamical Wilson fermions. (Complete postscript file can be obtained by anonymous ftp from ftp.scri.fsu.edu as file "lat92.ps" from directory "pub/heller".)
|
K. M. Bitar, et.al
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211003
|
hep-lat/9211004
|
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] |
The Degrees of Freedom in Hot Quenched QCD
|
In quenched QCD, on lattices with $\nt=4$, the absence of a pole in the pseudoscalar meson channel for $T>T_c$ is demonstrated. A set of effective 4-fermi couplings is extracted. It is observed that this coupling is small in the vector channel for all $T>T_c$, but not in the pseudoscalar channel. The temperature dependence of hadronic parameters below \tc{} is found to be small. NOTE: Latex source, no figures, needs espcrc2.sty from hep-lat macros.
|
Sourendu Gupta
|
hep-lat hep-ph nucl-th
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211004
|
hep-lat/9211005
|
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] |
Problems with the Quenched Approximation in the Chiral Limit
|
In the quenched approximation, loops of the light singlet meson (the $\eta'$) give rise to a type of chiral logarithm absent in full QCD. These logarithms are singular in the chiral limit throwing doubt upon the utility of the quenched approximation. In previous work, I summed a class of diagrams, leading to non-analytic power dependencies such as $\cond\propto m_q^{-\delta/(1+\delta)}$. I suggested, however, that these peculiar results could be redefined away. Here I give an alternative derivation of the results, based on the renormalization group, and argue that they cannot be redefined away. I discuss the evidence (or lack thereof) for such effects in numerical data.
|
Stephen Sharpe
|
hep-lat hep-ph
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211005
|
hep-lat/9211006
|
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] |
A Gauge-fixed Hamiltonian for Lattice QCD
|
We study the gauge fixing of lattice QCD in 2+1 dimensions, in the Hamiltonian formulation. The technique easily generalizes to other theories and dimensions. The Hamiltonian is rewritten in terms of variables which are gauge invariant except under a single global transformation. This paper extends previous work, involving only pure gauge theories, to include matter fields.
|
J. B. Bronzan and Timothy E. Vaughan
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211006
|
hep-lat/9211007
|
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] |
Finite Size Effects on the QCD Spectrum Revisited
|
We have continued our study of finite size effects in the QCD spectrum on lattices ranging in size from $8^3\times 24$ to $16^3\times24$. We have increased our statistics for quark mass $am_q=0.025$ for the smallest lattice size. In addition, we have studied quark mass 0.0125 for lattice sizes $12^3\times24$ and $16^3\times24$. These lattice sizes correspond to a box 1.8--3.6 fm on a side when the rho mass at zero quark mass is used to set the scale. We discuss the nucleon to rho mass ratio at a smaller value of $m_\pi/m_\rho$ than previously studied with two dynamical flavors.
|
The MILC Collaboration: C. Bernard, T. A. DeGrand, C. DeTar, Steven Gottlieb, A. Krasnitz, R. Authors: L. Sugar, and D. To...
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211007
|
hep-lat/9211008
|
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] |
Multigrid for propagators of staggered fermions in four-dimensional $SU(2)$ gauge fields
|
Multigrid (MG) methods for the computation of propagators of staggered fermions in non-Abelian gauge fields are discussed. MG could work in principle in arbitrarily disordered systems. The practical variational MG methods tested so far with a ``Laplacian choice'' for the restriction operator are not competitive with the conjugate gradient algorithm on lattices up to $18^4$. Numerical results are presented for propagators in $SU(2)$ gauge fields.
|
Thomas Kalkreuter
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211008
|
hep-lat/9211009
|
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] |
The confined-deconfined interface tension, wetting, and the spectrum of the transfer matrix
|
The reduced tension $\sigma_{cd}$ of the interface between the confined and the deconfined phase of $SU(3)$ pure gauge theory is determined from numerical simulations of the first transfer matrix eigenvalues. At $T_c = 1/L_t$ we find $\sigma_{cd} = 0.139(4) T_c^2$ for $L_t = 2$. The interfaces show universal behavior because the deconfined-deconfined interfaces are completely wet by the confined phase. The critical exponents of complete wetting follow from the analytic interface solutions of a $\Z(3)$-symmetric $\Phi^4$ model in three dimensions. We find numerical evidence that the confined-deconfined interface is rough.
|
B. Grossmann, M. L. Laursen, T. Trappenberg and U.-J. Wiese
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211009
|
hep-lat/9211010
|
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] |
Surface Tension, Surface Stiffness, and Surface Width of the 3-dimensional Ising Model on a Cubic Lattice
|
We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures and for interface extensions up to 64 by 64. The interface tension sigma is obtained by integrating the surface energy density over the inverse temperature beta. The surface stiffness coefficient kappa is determined. We also study universal quantities like xi^2 sigma and xi^2 kappa. The behavior of the interfacial width on lattices up to 512 times 512 times 27 is also investigated.
|
Martin Hasenbusch and Klaus Pinn
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211010
|
hep-lat/9211011
|
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] |
Lattice Charge Overlap and the Elastic Limit
|
The results of a lattice simulation of time-separated charge overlap for the charged pion are discussed. The expected result $\sim {\rm exp}[-(E_q - m_{\pi})t\,]$ for large charge density overlap time separations, $t$, is clearly visible in the Fourier transform, indicating that the elastic limit can be achieved at low to medium momentum values on present-sized lattices. The implications of this result for direct lattice simulations of hadron structure functions are discussed and a brief presentation of the lattice formalism is given.
|
Walter Wilcox
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211011
|
hep-lat/9211012
|
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] |
Lattice Analysis of Two-Point Hadronic Correlators in the QCD Vacuum
|
Results from the first lattice QCD analysis of vacuum correlators of local hadronic currents using dispersion relations are presented. We have explored the vector, pseudoscalar, axial, and scalar meson channels, and the proton-like and delta-like baryon channels. The lattice results are shown to agree qualitatively with experimental results in channels where experimental data exist, and shed insight into interacting instanton approximations and sum rule calculations in the other channels. 3 figures included (as PostScript files): pi.ps, nd.ps, va.ps : Search for %%% to retrieve the files. Latex file, needs espcrc2.sty (Search for %%%).
|
M.-C. Chu, J. M. Grandy, S. Huang, and J. W. Negele
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211012
|
hep-lat/9211013
|
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] |
Random Walks with Long-Range Self-Repulsion on Proper Time
|
We introduce a model of self-repelling random walks where the short-range interaction between two elements of the chain decreases as a power of the difference in proper time. Analytic results on the exponent $\nu$ are obtained. They are in good agreement with Monte Carlo simulations in two dimensions. A numerical study of the scaling functions and of the efficiency of the algorithm is also presented.
|
S. Caracciolo, G. Parisi and A. Pelissetto
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211013
|
hep-lat/9211014
|
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] |
Observation of FSS for a First Order Phase Transition
|
We present the results of a multicanonical simulation of the q=20 2-d Potts model in the transition region. This is a very strong first order phase transition. We observe, for the first time, the asymptotic finite size scaling behavior predicted by Borgs and Koteck\'y close to a first order phase transition point.
|
A. Billoire, T. Neuhaus and B. Berg
|
hep-lat cond-mat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211014
|
hep-lat/9211015
|
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] |
Three-Loop Results on the Lattice
|
We present some new three-loop results in lattice gauge theories, for the Free Energy and for the Topological Susceptibility. These results are an outcome of a scheme which we are developing (using a symbolic manipulation language), for the analytic computation of renormalization functions on the lattice.
|
B. Alles, M. Campostrini, A. Feo and H. Panagopoulos
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211015
|
hep-lat/9211016
|
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] |
Fermion induced SU$(N)$ Yang-Mills Theory
|
We investigate the gauge interaction induced by heavy fermions using both dimensional and lattice regularization. We study the condition under which heavy fermions induce a continuum gauge theory.
|
Anna Hasenfratz
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211016
|
hep-lat/9211017
|
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] |
The Quenched Approximation in Health and in Sickness
|
We present results for physical quantities computed in quenched chiral perturbation theory and compare them with the corresponding unquenched expressions. We also point out an apparent theoretical problem of the quenched approximation. latex, file espcrc2.sty needed (appended at the end: search for espcrc2.sty).
|
Claude Bernard and Maarten Golterman
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211017
|
hep-lat/9211018
|
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] |
Gribov Copies and Other Gauge Fixing Beasties on the Lattice
|
Write-up for Lattice'92, held in Amsterdam. preprint LTH 291. Comes with 6 PostScript figures and 1 sty-file. We study the nature of gauge fixing ambiguities in two dimensional gauge theories. We find that these ambiguities can be related to the asociated spin model. They can be eliminated by means of a (multigrid) annealing algorithm.
|
Arjan Hulsebos
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211018
|
hep-lat/9211019
|
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] |
Lattice Calculation of Point-to-Point Hadron Current Correlation
|
Point-to-point correlation functions of hadron currents in the QCD vacuum are calculated on a lattice and analyzed using dispersion relations, providing physical information down to small spatial separations. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation functions are shown to be useful in exploring approximations based on sum rules and interacting instantons.
|
M.-C. Chu, J. M. Grandy, S. Huang and J. W. Negele
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211019
|
hep-lat/9211020
|
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] |
The Gluon Propagator in Momentum Space
|
We give preliminary numerical results for the gluon propagator evaluated both in coordinate and momentum space on a 16^3X40 quenched lattice at beta=6.0. Our findings are compared with earlier results in the literature at zero momentum. In addition, by considering nonzero momenta we attempt to extract the form of the propagator and compare it to continuum predictions formulated by Gribov and others. latex, file espcrc2.sty needed (appended at the end: search for espcrc2.sty).
|
C. Bernard, C. Parrinello and A. Soni
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211020
|
hep-lat/9211021
|
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0.12301477789878845,
0.019989460706710815,
0.4558958113193512,
0.30804243683815,
1.7307721376419067,
0.17795728147029877,
0.08595547080039978,
-0.8069113492965698
] |
A streamlined method for chiral fermions on the lattice
|
We discuss the use of renormalization counterterms to restore the chiral gauge symmetry in a lattice theory of Wilson fermions. We show that a large class of counterterms can be implemented automatically by making a simple modification to the fermion determinant.
|
Geoffrey T. Bodwin, Eve V. Kovacs
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211021
|
hep-lat/9211022
|
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] |
How Do Fermions Behave on a Random Lattice?
|
Comparing random lattice, naive and Wilson fermions in two dimensional abelian background gauge field, we show that the doublers suppressed in the free field case are revived for random lattices in the continuum limit unless gauge interactions are implemented in a non--invariant way.
|
C J Griffin and T D Kieu
|
hep-lat hep-th
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211022
|
hep-lat/9211023
|
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] |
Quantum-Gravity Path-Integrals on Simplicial Lattices
|
Euclidean quantum-gravity path-integrals are investigated within Regge calculus by computer simulations. The domain of integration is restricted by introducing a lower limit for the fatness of each simplex. We use the standard hypercubic triangulation of the 4-torus and irregularly triangulated lattices obtained by inserting a small number of vertices using barycentric subdivision. For limited fatness we find an entropy dominated phase with small negative curvature both for the regular and the irregular triangulation.
|
W. Beirl, E. Gerstenmayer, H. Markum
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211023
|
hep-lat/9211024
|
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] |
Strings with Extrinsic Curvature: An Analysis of the Crossover Regime
|
We present the results of a set of Monte Carlo simulations of Dynamically Triangulated Random Surfaces embedded in three dimensions with an extrinsic curvature dependent action. We analyze several observables in the crossover regime and discuss whether or not our observations are indicative of the presence of a phase transition.
|
Mark Bowick, Paul Coddington, Leping Han, Geoffrey Harris and Enzo Marinari
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211024
|
hep-lat/9211025
|
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] |
Hamiltonian lattice gauge theory: wavefunctions on large lattices
|
We discuss an algorithm for the approximate solution of Schrodinger's equation for lattice gauge theory, using lattice SU(3) as an example. A basis is generated by repeatedly applying an effective Hamiltonian to a ``starting state.'' The resulting basis has a cluster decomposition and long-range correlations. One such basis has about 10^4 states on a 10X10X10 lattice. The Hamiltonian matrix on the basis is sparse, and the elements can be calculated rapidly. The lowest eigenstates of the system are readily calculable.
|
J. B. Bronzan
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211025
|
hep-lat/9211026
|
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] |
Fermion spectrum in the quenched U(1) chiral Wilson-Yukawa model
|
Nature of charged fermion state is investigated in the quenched U(1) chiral Wilson-Yukawa model. Fitting the charged fermion propagator with a single hyperbolic cosine does not yield reliable result. On the other hand the behaviour of the propagator including large lattice size dependence is well described by the large Wilson-Yukawa coupling expansion, providing strong evidence that no charged state exists as an asymptotic particle in this model.
|
S. Aoki, H. Hirose and Y. Kikukawa
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211026
|
hep-lat/9211027
|
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] |
Contamination of Excited States in Quenched QCD Hadron Propagators
|
Quenched QCD hadron spectrum is calculated with Wilson's quark action at $\beta=5.85$ and 6.0 on a $24^3 \times 54$ lattice. We discuss the problem of whether we have extracted the mass of the ground state at these $\beta$'s without contamination of the excited states. We show that the masses of the first excited states turn out to be consistent with experiment when we are able to obtain the propagators up to the large time slice region where the propagators take the asymptotic forms of the ground states.
|
QCDPAX collaboration: Y.Iwasaki, K.Kanaya, S.Sakai, T.Yoshie, T.Hoshino, T.Shirakawa and Y.Oyanagi
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211027
|
hep-lat/9211028
|
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] |
Anomalous Fermion Number Non-Conservation on the Lattice
|
The anomaly for the fermion number current is calculated on the lattice in a simple prototype model with an even number of fermion doublets.
|
Istvan Montvay (CERN, Geneva, Switzerland)
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211028
|
hep-lat/9211029
|
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] |
Unstable particles in finite volume: The broken phase of the $4$-d $O(4)$ non-linear $\sigma$-model
|
According to a proposal of L\"uscher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the 4-dimensional $O(4)$ non-linear $\sigma$-model in a Monte-Carlo study on finite lattices. This non-perturbative approach also permits the study of unstable particles, the $\sg$-particle in our case. We observe the $\sg$-resonance and extract its mass and its width.
|
Frank Zimmermann, J\"org Westphalen, Meinulf G\"ockeler and Hans A. Kastrup
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211029
|
hep-lat/9211030
|
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] |
A method for putting chiral fermions on the lattice
|
We describe a method to put chiral gauge theories on the lattice. Our method makes heavy use of the effective action for chiral fermions in the continuum, which is in general complex. As an example we discuss the chiral Schwinger model.
|
M. Goeckeler and G. Schierholz
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211030
|
hep-lat/9211031
|
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] |
Multigrid meets Neural Nets
|
We present evidence that multigrid (MG) works for wave equations in disordered systems, e.g. in the presence of gauge fields, no matter how strong the disorder. We introduce a "neural computations" point of view into large scale simulations: First, the system must learn how to do the simulations efficiently, then do the simulation (fast). The method can also be used to provide smooth interpolation kernels which are needed in multigrid Monte Carlo updates.
|
M. Baeker, G. Mack and M. Speh
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211031
|
hep-lat/9211032
|
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] |
Decoupling of Photon Propagator in Compact QED
|
In compact QED$_{2+1}$ quantum monopole fluctuations induce confinement by expelling electric flux in a dual Meissner effect. Guided by Landau-Ginzburg theory, one might guess that the inverse London penetration depth $\lambda^{-1}$---the only physical mass scale---equals the photon propagator mass pole $M_\gamma$. I show this is not true. Indeed, in the Villain approximation the monopole part of the partition function factorizes from the photon part, whose dynamical variables are Dirac strings. Since Dirac strings are gauge-variant structures, I conclude that $M_\gamma$ is physically irrelevant: it is not a blood relative of $\lambda$ or any other quantity in the gauge-invariant sector. This result is confirmed by numerical simulations in the full theory, where $M_\gamma$ is not sensitive to monopole prohibition but essentially vanishes if Dirac strings are prohibited.
|
Ken Yee
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211032
|
hep-lat/9211033
|
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] |
Non-Relativistic QCD for Heavy Quark Systems
|
We employ a nonrelativistic version of QCD (NRQCD) to study heavy quark-antiquark bound states in the lowest approximation without fine structure. We use gluon configurations on a 16^3 by 48 lattice at beta=6.2 from the UKQCD collaboration. For quark masses in the vicinity of the b we obtain bound state masses for S, P and both types of D wave. We also detect signals for two types of hybrids (quark,antiquark,gluon states). The results are sufficiently accurate to confirm that the values of the D wave mass from both lattice D waves coincide indicating that the cubical invariance of the lattice is restored to full rotational invariance at large distance. Our results also show that the S-P splitting is indeed insensitive to variations in the bare quark mass from Ma=1.0 to Ma=1.9.
|
S.Catterall, F.Devlin, I.Drummond, R.Horgan, A. Simpson
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211033
|
hep-lat/9211034
|
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] |
Blockspin Scheme and Cluster Algorithm for Quantum Spin Systems
|
We present a numerical study using a cluster algorithm for the 1-d $S=1/2$ quantum Heisenberg models. The dynamical critical exponent for anti-ferromagnetic chains is $z=0.0(1)$ such that critical slowing down is eliminated.
|
He-Ping Ying and Uwe-Jens Wiese (Bern University)
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211034
|
hep-lat/9211035
|
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] |
Quark Confinement in Multi-Flavor Quantum Chromodynamics
|
It is investigated how quark confinement depends on the number of flavors, $N_f$, in QCD on the lattice with Wilson quarks. We strengthen and extend the conclusion reported at {\it Lattice 91}: (1) For $N_f \le 6$ the finite temperature deconfining transition/crossover line crosses the chiral limit at finite $\beta$. We identify the crossing point for $N_f=2$ and 6 on a $T=4$ lattice, where $T$ is the lattice size in the temporal direction. We find the phase transition at the crossing point is continuous for $N_f=2$, while it is of first order for $N_f=6$. (2) For $N_f \ge 7$, the $T$-independent deconfining transition observed at $\beta=0$ extends up to $\beta=4.5$ with the critical quark mass $m_{\rm quark} = O(a^{-1})$, where $a$ is the lattice spacing.
|
Y. Iwasaki, K. Kanaya, S. Sakai, and T. Yoshie
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211035
|
hep-lat/9211036
|
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] |
Baryon Density Correlations in the Quark Plasma, MIMD Lattice Calculation
|
As part of an ongoing effort to characterize the high temperature phase of QCD, we measure the quark baryon density in the vicinity of a fixed test quark and compare it with similar measurements at low temperature and at the crossover temperature. Such an observable has also been studied by the Vienna group. We find an extremely weak correlation at high temperature, suggesting that small color singlet clusters are unimportant in the thermal ensemble. We also find that at T = 0.75 T_c the induced quark number shows a surprisingly large component attributable to baryonic screening. A simulation of a simple flux tube model produces results that suggest a plausible scenario: As the crossover temperature is approached from below, baryonic states proliferate. Above the crossover temperature the mean size of color singlet clusters grows explosively, resulting in an effective electrostatic deconfinement.
|
C. Bernard, T. A. DeGrand, C. DeTar, S. Gottlieb, A. Krasnitz, R. L. Sugar and D. Toussaint (MILC Collaboration)
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211036
|
hep-lat/9211037
|
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] |
Improved Langevin Methods for Spin Systems
|
We investigate methods for variance reduction and the elimination of systematic error in a Fourier accelerated Langevin scheme for general spin models. We present results for the $SU(3)\times SU(3)/SU(3)$ model in two-dimensions that are consistent wit h those from multi-grid methods. We argue that the timing for the Langevin method makes it comparable to multi-grid for a given level of error.
|
I T Drummond and R R Horgan
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211037
|
hep-lat/9211038
|
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] |
The Spin Content of the Nucleon
|
The fraction of the nucleon spin that is carried by the quarks, $\Delta \Sigma$, is computed in lattice QCD with dynamical staggered fermions. We obtain the value $\Delta \Sigma = 0.18 \pm 0.02$.
|
R. Altmeyer, M. G\"ockeler, R. Horsley, E. Laermann and G. Schierholz
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211038
|
hep-lat/9211039
|
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] |
Gauge Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
|
We present an investigation of gauge invariant smearing for Wilson fermions on a $24^3 \times 48$ lattice at $\beta = 6.2$. We demonstrate a smearing algorithm that allows a substantial improvement in the determination of the baryon spectrum obtained using propagators smeared at both source and sink, at only a small computational cost. We investigate the matrix of correlators constructed from local and smeared operators, and are able to expose excited states of both the mesons and baryons.
|
UKQCD Collaboration (presented by Sara Collins)
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211039
|
hep-lat/9211040
|
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] |
Quenched Light Hadron Spectroscopy: Comparing the Wilson and O(a)-Improved Fermion Actions
|
We have studied the light hadron spectrum and decay constants for quenched QCD at beta=6.2 on a 24^3x48 lattice. We compare the results obtained using a nearest-neighbour O(a)-improved ("clover") fermion action with those obtained using the standard Wilson fermion action on the same gauge configurations. For pseudoscalar meson masses in the range 330-800 MeV, we find no significant difference between the results for the two actions. The scales obtained from the string tension and mesonic sector are consistent, but higher than those derived from baryon masses. The ratio of the pseudoscalar decay constant to the vector meson mass is roughly independent of quark mass as observed experimentally.
|
UKQCD Collaboration, presented by Alan D. Simpson
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211040
|
hep-lat/9211041
|
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] |
Results in the static approximation
|
We present a comprehensive study of finite volume and lattice spacing effects on observables calculated in the static approximation. Ground state projection using smearing techniques is studied at $\beta=6.26$. We give high statics results for the pseudoscalar decay constant after extrapolating to the chiral and continuum limit. In addition results for mass splittings and the distance of string breaking in the $Q\bar{Q}$ potential are presented.
|
C. Alexandrou, S. Guesken, F. Jegerlehner, K. Schilling, R. Sommer
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211041
|
hep-lat/9211042
|
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] |
The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study
|
We present a study of {\it finite} $a$ and {\it volume} effects of the leptonic decay constant $f$ of heavy pseudoscalar mesons in the static approximation. This study is performed on a number of lattices at $\beta=$ 5.74,~6.0 and 6.26 covering sizes from about 0.7~$fm$ to 2~$fm$. We confirm that beyond 1.5~$fm$ the volume dependence is negligible. By carefully analysing results obtained using different trial wave functions for the heavy meson we find no dependence on the smearing. We also give results for the mass difference of the scalar - pseudoscalar and the $\Lambda _{b}$ - pseudoscalar. Using the mass of the pseudoscalar meson we estimate the distance of string breaking in the static quark potential.
|
C. Alexandrou, S. Guesken, F. Jegerlehner, K. Schilling, R. Sommer
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211042
|
hep-lat/9211043
|
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] |
The Charm Quark on the Lattice
|
We formulate lattice fermions in a way that encompasses Wilson fermions as well as the static and non-relativistic approximations. In particular, we treat $m_qa$ systematically ($m_q$ is the fermion mass) showing how to understand the Wilson action as an effective action for systems with $\vek{p}\ll m_q$. The results show how to extract matrix elements and the spectrum from simulations with $m_qa\approx1$, which is relevant for the charm quark.
|
Andreas S. Kronfeld
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211043
|
hep-lat/9211044
|
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] |
Gravitational Action Versus Entropy on Simplicial Lattices in Four Dimensions
|
We investigate quantum gravity on simplicial lattices using Regge calculus with special emphasize on the problem of the unbounded action. The role of the entropy for the path integral is discussed in detail. Our numerical results show further evidence for the existence of an entropy dominated region with well defined expectation values even for unbounded action. Analyses are performed both for the standard regular triangulation of the 4-torus and for irregularly triangulated lattices obtained by insertion of vertices using barycentric subdivision.
|
W. Beirl, E. Gerstenmayer, H. Markum and J. Riedler
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211044
|
hep-lat/9211045
|
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] |
Charmed Meson Spectroscopy and Matrix Elements with an O(a)-Improved Clover Fermion Action
|
We present preliminary results for the spectrum and decay matrix elements for heavy-light and heavy-heavy mesons, obtained on the 64-node Meiko Computing Surface at the University of Edinburgh. Quark propagators are computed with an O(a)-improved fermion action on 24^3x48 lattices at beta = 6.2, using three values of the quark mass up to around the strange quark mass, and four values of the quark mass in the region of the charm quark mass. We compare results for the hyperfine splitting in charmonium with those obtained using the conventional Wilson fermion action and find that the splitting is 1.83(15) times larger with the improved action. Our measurements of f_B indicate non-scaling corrections of the order of 20% to the Heavy Quark Effective Theory expectation. A comparison is made with results obtained on 16^3x48 lattices at beta = 6.0.
|
UKQCD Collaboration, presented by David Richards
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211045
|
hep-lat/9211046
|
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] |
The Charmonium Spectrum on the Lattice: A Status Report
|
We present our most recent results on the charmonium spectrum using relativistic Wilson fermions. We study the dependence of the spectrum on the charm quark mass and the Wohlert-Sheikholeslami improvement term.
|
Aida X. El-Khadra
|
hep-lat hep-ph
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211046
|
hep-lat/9211047
|
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] |
The Loop-Cluster Algorithm for the Case of the 6 Vertex Model
|
We present the loop algorithm, a new type of cluster algorithm that we recently introduced for the F model. Using the framework of Kandel and Domany, we show how to GENERALIZE the algorithm to the arrow flip symmetric 6 vertex model. We propose the principle of least possible freezing as the guide to choosing the values of free parameters in the algorithm. Finally, we briefly discuss the application of our algorithm to simulations of quantum spin systems. In particular, all necessary information is provided for the simulation of spin $\half$ Heisenberg and $xxz$ models.
|
H.G. Evertz and M. Marcu
|
hep-lat cond-mat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211047
|
hep-lat/9211048
|
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] |
Quenched Lattice Results for $f_B$ and $f_D$
|
We have computed the decay constants for the $B$ and $D$ mesons, using quenched lattices at $\beta=6.3$, by interpolating between the static approximation of Eichten and the conventional (``heavy'' Wilson fermion) method. A more careful treatment of the static result using better sources with longer time-displacements and a modification to the Wilson quark normalization to correct approximately for lattice effects in the large-$am$ regime have led to the elimination of the large discrepancy between the two methods which had been previously observed. We report final results, with estimates of various systematic errors.
|
Claude Bernard, James Labrenz and Amarjit Soni
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211048
|
hep-lat/9211049
|
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] |
Multicanonical Cluster Algorithm
|
In this talk I present a multicanonical hybrid-like two-step algorithm, which consists of a microcanonical spin system update with demons, and a multicanonical demon refresh. The demons act as a buffer between the multicanonical heat bath and the spin system, allowing for a large variety of update schemes. In this work the cluster algorithm is demonstrated with the 2-dimensional 7-state Potts model, using volumes up to $128^2$.
|
K. Rummukainen
|
hep-lat cond-mat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211049
|
hep-lat/9211050
|
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] |
The Mechanism of Complex Langevin Simulations
|
We discuss conditions under which expectation values computed from a complex Langevin process $Z$ will converge to integral averages over a given complex valued weight function. The difficulties in proving a general result are pointed out. For complex valued polynomial actions, it is shown that for a process converging to a strongly stationary process one gets the correct answer for averages of polynomials if $c_{\tau}(k) \equiv E(e^{ikZ(\tau)}) $ satisfies certain conditions. If these conditions are not satisfied, then the stochastic process is not necessarily described by a complex Fokker Planck equation. The result is illustrated with the exactly solvable complex frequency harmonic oscillator.
|
H. Gausterer and Sean Lee
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211050
|
hep-lat/9211051
|
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] |
Infinite Volume, Continuum Limit of Valence Approximation Hadron Masses
|
We obtain estimates of several hadron mass ratios, for Wilson quarks in the valence (quenched) approximation, extrapolated to physical quark mass, infinite volume and zero lattice spacing.
|
F. Butler, H. Chen, A. Vaccarino, J. Sexton, and D. Weingarten
|
hep-lat hep-ph
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211051
|
hep-lat/9211052
|
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] |
Yet another way to obtain low temperature expansions for discrete spin systems
|
I present a modification of the shadow-lattice technique, which allows one to derive low temperature series for discrete spin models to high orders. Results are given for the 3-d Ising model up to 64 excited bonds, for the 4-d Ising model up to 96 excited bonds and the 3-d Potts model up to 56 excited bonds.
|
C. Vohwinkel
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211052
|
hep-lat/9211053
|
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] |
High precision single-cluster Monte Carlo measurement of the critical exponents of the classical 3D Heisenberg model
|
We report measurements of the critical exponents of the classical three-dimensional Heisenberg model on simple cubic lattices of size $L^3$ with $L$ = 12, 16, 20, 24, 32, 40, and 48. The data was obtained from a few long single-cluster Monte Carlo simulations near the phase transition. We compute high precision estimates of the critical coupling $K_c$, Binder's parameter $U^* and the critical exponents $\nu,\beta / \nu, \eta$, and $\alpha / \nu$, using extensively histogram reweighting and optimization techniques that allow us to keep control over the statistical errors. Measurements of the autocorrelation time show the expected reduction of critical slowing down at the phase transition as compared to local update algorithms. This allows simulations on significantly larger lattices than in previous studies and consequently a better control over systematic errors in finite-size scaling analyses.
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C. Holm, and W. Janke
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hep-lat
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November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211053
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hep-lat/9211054
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] |
Glueball wavefunctions
|
We measure Coulomb-gauge wavefunctions of the scalar and tensor glueballs in SU(2) Yang-Mills. The problem of contamination by flux states is discussed, and a new analysis method described. The large size of the tensor glueball is confirmed. Preliminary results in the deconfined phase show no significant changes.
|
Philippe de Forcrand and Keh-Fei Liu
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211054
|
hep-lat/9211055
|
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] |
Finite-Size Scaling on the Ising Coexistence Line
|
We study the finite-size scaling of moments of the magnetization in the low-temperature phase of the two-dimensional Ising model.
|
S. Gupta and A. Irbaeck
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211055
|
hep-lat/9211056
|
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] |
Study of the complex fermion determinant in a $\rm U(1)_L \otimes U(1)_R$ symmetric Yukawa model
|
Lattice theories that contain chiral multiplets of fermions can have complex fermion determinants. This is for example the case for the $\rm U(1)_L \otimes U(1)_R$ symmetric Yukawa model with mirror fermions, if the number of generations of fermions and mirror fermions is odd. Whether a numerical simulation of such a model is possible depends on the magnitude of fluctuations of the complex phase factor of the fermion determinant. We investigate the fermion determinant of the U(1) Yukawa model with mirror fermions for a physically relevant choice of parameters. The argument of the complex phase turns out to fluctuate only very little and is at most of the order of $2 \cdot 10^{-3}$.
|
Gernot Muenster and Markus Plagge
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211056
|
hep-lat/9211057
|
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] |
Meson Form-factors and Wave-functions with Wilson fermions
|
Results for semi-leptonic form-factors for processes like $D \to K l \nu$ and the Bethe-Salpeter amplitudes (BSA) for pion and rho mesons are presented. The form-factor data is consistent with previous calculations. We find that the long distance fall-off of BSA for both $\pi$ and $\rho$ is very well fit by an exponential, but surprisingly the effective mass governing this fall-off is lighter than the pion's. Lastly, by studying the dependence of $\rho$ polarization on separation direction we show that there is a measureable $l=2$ state in addition to $l=0$ in the BSA for the rho. (Talk presented by R. Gupta at LATTICE92. Latex needs macro package espcrc2.sty)
|
R. Gupta, D. Daniel, J. Grandy
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211057
|
hep-lat/9211058
|
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] |
Chiral Corrections to Lattice Calculations of Charge Radii
|
Logarithmic divergences in pion and proton charge radii associated with chiral loops are investigated to assess systematic uncertainties in current lattice determinations of charge radii. The chiral corrections offer a possible solution to the long standing problem of why present lattice calculations yield proton and pion radii which are similar in size.
|
Derek B. Leinweber and Thomas D. Cohen
|
hep-lat hep-ph nucl-th
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211058
|
hep-lat/9211059
|
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] |
Finite temperature QED3 with light fermions
|
Non-compact QED3 is simulated both in the quenched and unquenched cases. In particular, we investigate the restoration of chiral symmetry at finite temperature. We also compute the zero temperature spectrum of the theory, including (in the quenched case) the dynamical fermion mass. From these two set of data, one can obtain estimates for the ratio of the mass gap to the critical temperature, of particular interest for applications to high-Tc superconductivity.
|
J.B. Kogut and J.-F. Lagae
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211059
|
hep-lat/9211060
|
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] |
Staggered fermion approach to chiral gauge theories on the lattice
|
The staggered fermion approach to build models with chiral fermions is briefly reviewed. The method is tested in a U(1) model with axial vector coupling in two and four dimensions.
|
W. Bock, J. Smit and J.C. Vink
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211060
|
hep-lat/9211061
|
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] |
No strong coupling regime in the fermion-Higgs sector of the standard model
|
We present results for the renormalized quartic self-coupling $\lm_R$ and the renormalized Yukawa coupling $y_R$ in a fermion-Higgs model with two SU(2) doublets, indicating that these couplings are not very strong.
|
Wolfgang Bock, Christoph Frick, Jan Smit and Jeroen C. Vink
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211061
|
hep-lat/9211062
|
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] |
Algebraic Techniques for Enumerating Self-Avoiding Walks on the Square Lattice
|
We describe a new algebraic technique for enumerating self-avoiding walks on the rectangular lattice. The computational complexity of enumerating walks of $N$ steps is of order $3^{N/4}$ times a polynomial in $N$, and so the approach is greatly superior to direct counting techniques. We have enumerated walks of up to 39 steps. As a consequence, we are able to accurately estimate the critical point, critical exponent, and critical amplitude.
|
A R Conway, I G Enting and A J Guttmann
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211062
|
hep-lat/9211063
|
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] |
Enumeration of self avoiding trails on a square lattice using a transfer matrix technique
|
We describe a new algebraic technique, utilising transfer matrices, for enumerating self-avoiding lattice trails on the square lattice. We have enumerated trails to 31 steps, and find increased evidence that trails are in the self-avoiding walk universality class. Assuming that trails behave like $A \lambda ^n n^{11 \over 32}$, we find $\lambda = 2.72062 \pm 0.000006$ and $A = 1.272 \pm 0.002$.
|
A R Conway and A J Guttmann
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211063
|
hep-lat/9211064
|
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] |
Fermion mass in the Wilson-Yukawa approach for chiral Yukawa theory
|
We consider a modification of the Wilson-Yukawa model to overcome its difficulty that the fermion mass is not proportional to the Higgs vacuum expectation value. In the modification scalar and fermionic regulator fields are introduced so that all the physical fermion fields possess shift symmetry when the Yukawa coupling vanishes. With the fermionic hopping parameter expansion it is shown that the fermion mass is proportional to the Higgs vacuum expectation value and that the coupling of fermion to the external gauge field can be chiral if the hopping parameter of the scalar regulator field is taken to the critical value.
|
Sinya Aoki and Yoshio Kikukawa
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211064
|
hep-lat/9211065
|
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] |
The S, U and \Delta\rho parameters in the Zaragoza proposal for lattice chiral gauge fermions
|
Using the Zaragoza proposal for lattice chiral gauge fermions, the S, U and \Delta\rho parameters have been calculated at one loop. It is shown that the continuum values for these quantities can be reproduced without requiring explicit fine tuning of counterterms. Furthermore, fermion fields doubling is not necessary. To the best of our knowledge, the Zaragoza proposal is the only scheme which has these properties. A necessary (although not sufficient) symmetry is found to support the calculations. Previous results for some of these parameters in other lattice chiral regularizations are revisited in the light of this symmetry.
|
Jose Luis Alonso, Philippe Boucaud, Jose Luis Cortes, Felipe Lesmes, and Elena Rivas
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211065
|
hep-lat/9211066
|
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] |
Running Coupling in pure gauge theories using the Schr\"odinger functional
|
Schr\"odinger functional, the propagation kernel for going from some field configuration at time $x^0=0$ to some other configuration at $x^0=T$, is used to define a running coupling, $\bar g^2(L)$, at a length scale, $L$, in pure gauge theories. Using a lattice formulation and finite size scaling techniques, this running coupling is calculated non-perturbatively in the continuum for a wide range of $L$, that extends from the perturbative scales to non-perturbative scales, for the specific case of pure SU(2) gauge theory.
|
Rajamani Narayanan
|
hep-lat
|
November
| 1,992 |
https://arxiv.org/abs/hep-lat/9211066
|
hep-lat/9212001
|
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] |
Chiral fermions in two dimensions?
|
Quenched studies of a global U(1) symmetric Wilson-Yukawa model in two dimensions show no evidence of a charged fermion in the vortex phase at strong Wilson-Yukawa coupling while there is strong indication of a massive neutral fermion. However, with the U(1)$_L$ gauge field turned on, we use dimensional arguments to suggest that the neutral fermion appears to couple chirally to a massive vector boson state.
|
Wolfgang Bock, Asit K. De, Erich Focht and Jan Smit
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212001
|
hep-lat/9212002
|
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] |
Dirac Strings and the Nonperturbative Photon Propagator in Compact QED
|
A ``3D'' Mathematica@-generated picture of monopoles and Dirac strings in $D=2+1$ compact QED is given. In the Villain approximation, the monopole part of the partition function factorizes from the Dirac string part, which generates the photon propagator. Numerical experiments in exact compact QED confirm this result: photon mass pole $M_\gamma$, originally nonzero, is insensitive to monopole prohibition but almost vanishes if Dirac strings are prohibited.
|
Ken Yee
|
hep-lat cond-mat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212002
|
hep-lat/9212003
|
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] |
Kazakov-Migdal Induced Gauge Theory and the Coupling of 2D Quantum Gravity to D=1 Matter
|
Recently Kazakov and Migdal proposed a new approach to the large $N$ limit of SU(N) gauge theories which could hopefully describe the asymptotically free fixed point of QCD in 4 dimensions. In this contribution we review the exact solution of their model in the case of a $d=1$ compactified lattice and its connection with the partition function of the vortex-free sector of the d=1 compactified bosonic string. Some new results on the addition of a linear term in the K-M model and on the SU(N) restriction of the general U(N) model are also presented.
|
M. Caselle, A. D'Adda and S. Panzeri
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212003
|
hep-lat/9212004
|
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] |
Magnetic Monopoles in non-compact QED - is there a Phase Transition?
|
The existence of the monopole condensation transition reported by Kocic et al. in non-compact, quenched QED is tested. No phase transition is found. This shows that divergence of the `monopole susceptibility' introduced by Hands and Wensley is not a reliable indicator of second order phase transitions. In view of these results I discuss claims that the chiral phase transition seen in QED with fermions is a lattice artefact driven by monopole condensation.
|
P.E.L. Rakow
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212004
|
hep-lat/9212005
|
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] |
Gauge fixing and Gribov copies in pure Yang-Mills on a circle
|
%In order to understand how gauge fixing can be affected on the %lattice, we first study a simple model of pure Yang-mills theory on a %cylindrical spacetime [$SU(N)$ on $S^1 \times$ {\bf R}] where the %gauge fixed subspace is explicitly displayed. On the way, we find that %different gauge fixing procedures lead to different Hamiltonians and %spectra, which however coincide under a shift of states. The lattice %version of the model is compared and lattice gauge fixing issues are %discussed. (---TALK GIVEN AT LATTICE 92---AMSTERDAM, 15 SEPT. 92)
|
James E. Hetrick
|
hep-lat hep-th
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212005
|
hep-lat/9212006
|
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] |
The Crumpling Transition Revisited
|
The ``crumpling" transition, between rigid and crumpled surfaces, has been object of much discussion over the past years. The common lore is that such transition should be of second order. However, some lattice versions of the rigidity term on fixed connectivity surfaces seem to suggest that the transition is of higher order instead. While some models exhibit what appear to be lattice artifacts, others are really indistiguishable from models where second order transitions have been reported and yet appear to have third order transitions.
|
M. Baig and D. Espriu
|
hep-lat hep-th
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212006
|
hep-lat/9212007
|
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] |
INvestigation Of The Biconjugate Gradient Algorithm For The Inversion Of Fermion Matrices
|
An algorithm for the numerical inversion of large matrices, the biconjugate gradient algorithm (BGA), is investigated in view of its use for Monte Carlo simulations of fermionic field theories. It is compared with the usual conjugate gradient algorithm (CGA) and the minimal residue algorithm (MRA) within a Higgs-Yukawa model including mirror fermions. For this model it can be shown that BGA represents an improvement under certain circumstances where the other two slow down.
|
Markus Plagge
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212007
|
hep-lat/9212008
|
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] |
Renormalization Group Flow in non-compact QED with two charged staggered Fermions
|
We have investigated a system with two sets of staggered fermions with charges 1 and -1/2 coupling to a non-compact U(1) gauge field in 4 dimensions. The model exhibits breaking of chiral symmetries of both fermions at different values of beta. Chiral condensates, renormalized fermion masses and renormalized charges have been measured. The renormalized charges show agreement with one-loop perturbation theory. We examine surfaces of constant renormalized charges in the space of bare parameters.
|
Arifa Ali Khan (HLRZ Juelich)
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212008
|
hep-lat/9212009
|
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0.2612508535385132,
-0.1377435326576233,
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] |
Autocorrelation in Updating Pure SU(3) Lattice Gauge Theory by the use of Overrelaxed Algorithms
|
We measure the sweep-to-sweep autocorrelations of blocked loops below and above the deconfinement transition for SU(3) on a $16^4$ lattice using 20000-140000 Monte-Carlo updating sweeps. A divergence of the autocorrelation time toward the critical $\beta$ is seen at high blocking levels. The peak is near $\beta$ = 6.33 where we observe 440 $\pm$ 210 for the autocorrelation time of $1\times 1$ Wilson loop on $2^4$ blocked lattice. The mixing of 7 Brown-Woch overrelaxation steps followed by one pseudo-heat-bath step appears optimal to reduce the autocorrelation time below the critical $\beta$. Above the critical $\beta$, however, no clear difference between these two algorithms can be seen and the system decorrelates rather fast.
|
K. Akemi, Ph. deForcrand, M. Fujisaki, T. Hashimoto, H.C. Hege, S. Hioki, O. Miyamura, A. Nakamura, M. Okuda I.O. Stamates...
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212009
|
hep-lat/9212010
|
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] |
The Euclidean Spectrum of Kaplan's Lattice Chiral Fermions
|
We consider the (2n+1)-dimensional euclidean Dirac operator with a mass term that looks like a domain wall, recently proposed by Kaplan to describe chiral fermions in $2n$ dimensions. In the continuum case we show that the euclidean spectrum contains {\it no} bound states with non-zero momentum. On the lattice, a bound state spectrum without energy gap exists only if $m$ is fine tuned to some special values, and the dispersion relation does not describe a relativistic fermion. In spite of these peculiarities, the fermionic propagator {\it has} the expected (1/p-slash) pole on the domain wall. But there may be a problem with the phase of the fermionic determinant at the non-perturbative level.
|
Yigal Shamir
|
hep-lat hep-ph
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212010
|
hep-lat/9212011
|
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] |
Phase Structure of Compact $QED_3$ with Massless Fermions
|
In the framework of (2+1)-dimensional compact lattice QED with light fermions, we investigate the phase diagram in the $(\beta, N)$ plane. The approximations involved are related to an expansion of the effective fermionic action as a power series of the flavor number $N$. We also develop a new mechanism for understanding the $N-$critical phenomenon in the full theory. Our results for the specific heat indicate that only one phase does exist. We give strong evidences that this qualitative result should not be changed with the inclusion of higher order terms in the $N$ expansion.
|
V. Azcoiti and X.Q. Luo
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212011
|
hep-lat/9212012
|
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] |
Possible Failure of Asymptotic Freedom in Two-Dimensional $RP^2$ and $RP^3$ $\sigma$-Models
|
We have simulated the two-dimensional $RP^2$ and $RP^3$ $\sigma$-models, at correlation lengths up to about 220 (resp.\ 30), using a Wolff-type embedding algorithm. We see no evidence of asymptotic scaling. Indeed, the data rule out the conventional asymptotic scaling scenario at all correlation lengths less than about $10^{9}$ (resp.\ $10^{5}$). Moreover, they are consistent with a critical point at $\beta \approx 5.70$ (resp.\ 6.96), only 2\% (resp.\ 5\%) beyond the largest $\beta$ at which we ran. Preliminary studies of a mixed $S^{N-1}/RP^{N-1}$ model (i.e. isovector + isotensor action) show a similar behavior when $\beta_T \to \infty$ with $\beta_V$ fixed $\ltapprox 0.6$, while they are consistent with conventional asymptotic freedom along the lines $\beta_T/\beta_V$ fixed $\ltapprox 2$. Taken as a whole, the data cast doubt on (though they do not completely exclude) the idea that $RP^{N-1}$ and $S^{N-1}$ $\sigma$-models lie in the same universality class.
|
S. Caracciolo, R. G. Edwards, A. Pelissetto and A. D. Sokal
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212012
|
hep-lat/9212013
|
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] |
Finite-Size Effects in the Interface of 3D Ising Model
|
The interface between domains of opposite magnetization in the 3D Ising model near the critical temperature displays universal finite-size effects which can be described in terms of a gaussian model of capillary waves. It turns out that these finite-size corrections depend rather strongly on the shape of the lattice. This prediction, which has no adjustable parameters, is tested and accurately verified for various lattice shapes by means of numerical simulations with a cluster algorithm. This supports also a long-standing conjecture on the finite-size effects in Wilson loops of Lattice Gauge Theories.
|
M.Caselle, F.Gliozzi and S.Vinti
|
hep-lat cond-mat hep-th
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212013
|
hep-lat/9212014
|
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] |
A New Action for Heavy Lattice Fermions
|
I describe a unified formalism for lattice fermions, in which the relativistic action of Wilson and the nonrelativistic and static actions appear as special cases. It is valid at all values of $m_q a$, including $m_q a \approx 1$. In the limit $m_q a \ll 1 $, the formulation reduces to the light quark action of Wilson. In the limit $m_q a \gg 1 $, the formulation reduces to the nonrelativistic action of Thacker and Lepage, and to the static action of Eichten.
|
Paul B. Mackenzie
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212014
|
hep-lat/9212015
|
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] |
Mass Spectrum and Bounds on the Couplings in Yukawa Models With Mirror-Fermions
|
The $\rm SU(2)_L\otimes SU(2)_R$ symmetric Yukawa model with mirror-fermions in the limit where the mirror-fermion is decoupled is studied both analytically and numerically. The bare scalar self-coupling $\lambda$ is fixed at zero and infinity. The phase structure is explored and the relevant phase transition is found to be consistent with a second order one. The fermionic mass spectrum close to that transition is discussed and a first non-perturbative estimate of the influence of fermions on the upper and lower bounds on the renormalized scalar self-coupling is given. Numerical results are confronted with perturbative predictions.
|
L. Lin, G. M\"unster, M. Plagge, I. Montvay, H. Wittig, C. Frick, T. Trappenberg
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212015
|
hep-lat/9212016
|
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] |
Baryon Octet to Decuplet Electromagnetic Transitions
|
The electromagnetic transition moments of the $SU(3)$-flavor baryon octet to decuplet are examined within a lattice simulation of quenched QCD. The magnetic transition moment for the $N \; \gamma \to \Delta$ channel is found to be in agreement with recent experimental analyses. The lattice results indicate $\mu_{p \Delta} / \mu_p = 0.88(15)$. In terms of the Particle Data Group convention, $f_{M1} = 0.231(41)$ GeV${}^{-1/2}$ for $p \; \gamma \to \Delta^+$ transitions. Lattice predictions for the hyperon $M1$ transition moments agree with those of a simple quark model. However the manner in which the quarks contribute to the transition moments in the lattice simulation is different from that anticipated by quark model calculations. The scalar quadrupole form factor exhibits a behavior consistent with previous multipole analyses. The $E2/M1$ multipole transition moment ratios are also determined. The lattice results suggest $R_{EM} \equiv -{\cal G}_{E2}/{\cal G}_{M1} = +3\pm 8$ \% for $p \; \gamma \to \Delta^+$ transitions. Of particular interest are significant nonvanishing signals for the $E2/M1$ ratio in $\Xi^-$ and $\Sigma^-$ electromagnetic transitions.
|
Derek B. Leinweber, Terrence Draper and R.M. Woloshyn
|
hep-lat hep-ph
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212016
|
hep-lat/9212017
|
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] |
Progress in Lattice Field Theory Algorithms
|
I present a summary of recent algorithmic developments for lattice field theories. In particular I give a pedagogical introduction to the new Multicanonical algorithm, and discuss the relation between the Hybrid Overrelaxation and Hybrid Monte Carlo algorithms. I also attempt to clarify the role of the dynamical critical exponent z and its connection with `computational cost.' [Includes four PostScript figures]
|
A. D. Kennedy
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212017
|
hep-lat/9212018
|
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] |
Heavy Quark Physics
|
Lattice calculations of heavy quark systems provide very good measures of the lattice spacing, a key element in recent determinations of the strong coupling constant using lattice methods. They also provide excellent testing grounds for lattice methods in general. I review recent phenomenological and technical developments in this field.
|
Paul B. Mackenzie
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212018
|
hep-lat/9212019
|
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] |
Infinitely many regulator fields for chiral fermions
|
We show that two recent independent proposals for regularizing a chiral gauge theory stem from one common trick. If the anomaly free complex representation carried by the right handed fermi--fields is $r$ one constructs a vector like theory with flavored right handed fermionic matter in $r+\bar r$ but with a mass matrix of the order of the cutoff and having an index equal to unity in an infinite dimensional flavor space. We present a Pauli--Villars realization of the trick that is likely to work to all orders in perturbation theory and a lattice version which is argued to produce the correct continuum leading order fermionic contribution to the vacuum polarization tensor and readied for further perturbative checks.
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Rajamani Narayanan and Herbert Neuberger
|
hep-lat hep-ph hep-th
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212019
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hep-lat/9212020
|
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] |
Large N Lattice QED
|
We study the $\beta, N$ critical behaviour of non compact QED with $N$ species of light fermions, using a method we have proposed for unquenched simulations. We find that there exist two phase transition lines: one, second order, and the other, first order, that approaches asymptotically the $\beta=0$ axis. These two lines have different physical origin, the second one being entirely due to fermions effects. We discuss the effect of the approximation used, in terms of an expansion of the effective action in powers of $N$, and conclude that the general features should not be affected by this approximation.
|
V. Azcoiti, G. Di Carlo and A.F. Grillo
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212020
|
hep-lat/9212021
|
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] |
Multigrid Methods for the Computation of Propagators in Gauge Fields
|
NOTE: this is a shortened version of the abstract of the paper. Multigrid methods for propagators in gauge fields are investigated. Gauge fields are incorporated in algorithms in a covariant way. This avoids the necessity for gauge fixing in computations of propagators. The kernel $C$ of the restriction operator which averages from one grid to the next coarser grid is defined by projection on the ground- state of a local Hamiltonian. The idea behind this definition is that the appropriate notion of smoothness depends on the dynamics. The ground-state projection choice of $C$ is usable in arbitrary space-time dimension $d$ and for arbitrary gauge group. We discuss proper averaging operations for bosons and for staggered fermions. The averaging kernels $C$ can be used not only in deterministic multigrid computations, but also in multigrid Monte Carlo simulations, and for the definition of block spins and blocked gauge fields in Monte Carlo renormalization group studies of gauge theories. Actual numerical computations of kernels and propagators are performed in compact four-dimensional $SU(2)$ gauge fields. A central result of the present work is that {\em the multigrid method works in arbitrarily disordered gauge fields, in principle\/}.
|
Thomas Kalkreuter
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212021
|
hep-lat/9212022
|
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] |
Finite size and temperature effects in the AF Heisenberg model
|
The low temperature and large volume effects in the d=2+1 antiferromagnetic quantum Heisenberg model are dominated by magnon excitations. The leading and next-to-leading corrections are fully controlled by three physical constants, the spin stiffness, the spin wave velocity and the staggered magnetization. Among others, the free energy, the ground state energy, the low lying excitations, staggered magnetization, staggered and uniform susceptibilities are studied here. The special limits of very low temperature and infinite volume are considered also.
|
P. Hasenfratz and F. Niedermayer (Bern)
|
hep-lat cond-mat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212022
|
hep-lat/9212023
|
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] |
Cosmic Strings on the Lattice
|
We develop a formalism for the quantization of topologically stable excitations in the 4-dimensional abelian lattice gauge theory. The excitations are global and local (Abrikosov-Nielsen-Olesen) strings and monopoles. The operators of creation and annihilation of string states are constructed; the string Green functions are represented as a path integral over random surfaces. Topological excitations play an important role in the early universe. In the broken symmetry phase of the $U(1)$ spin model, closed global cosmic strings arise, while in the Higgs phase of the noncompact gauge-Higgs model, local cosmic strings are present. The compact gauge-Higgs model also involves monopoles. Then the strings can break if their ends are capped by monopoles. The topology of the Euclidean string world sheets are studied by numerical simulations.
|
A.K. Bukenov, A.V. Pochinsky, M.I. Polikarpov, L. Polley and U.-J. Wiese
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212023
|
hep-lat/9212024
|
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] |
How much are 2d Yukawa models similar to the Gross-Neveu models?
|
We present numerical evidence that the 2d Yukawa models with strong quartic selfcoupling of the scalar field have the same phase structure and are asymptotically free in the Yukawa coupling like the Gross-Neveu models.
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A.K. De, E. Focht, W. Franzki and J. Jersak
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hep-lat
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December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212024
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hep-lat/9212025
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] |
The Shifted Coupled Cluster Method: A New Approach to Hamiltonian Lattice Gauge Theories
|
It is shown how to adapt the non-perturbative coupled cluster method of many-body theory so that it may be successfully applied to Hamiltonian lattice $SU(N)$ gauge theories. The procedure involves first writing the wavefunctions for the vacuum and excited states in terms of linked clusters of gauge invariant excitations of the strong coupling vacuum. The fundamental approximation scheme then consists of i) a truncation of the infinite set of clusters in the wavefunctions according to their geometric {\em size}, with all larger clusters appearing in the Schr\"odinger equations simply discarded, ii) an expansion of the truncated wavefunctions in terms of the remaining clusters rearranged, or ``shifted'', to describe gauge invariant {\em fluctuations} about their vacuum expectation values. The resulting non-linear truncated Schr\"odinger equations are then solved self-consistently and exactly. Results are presented for the case of $SU(2)$ in $d=3$ space-time dimensions.
|
C.H.Llewellyn Smith and N.J.Watson
|
hep-lat hep-ph
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212025
|
hep-lat/9212026
|
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] |
Can the Couplings in the Fermion-Higgs Sector of the Standard Model be Strong?
|
We present results for the renormalized quartic self-coupling $\lambda_R$ and the Yukawa coupling $y_R$ in a lattice fermion-Higgs model with two SU(2)$_L$ doublets, mostly for large values of the bare couplings. One-component (`reduced') staggered fermions are used in a numerical simulation with the Hybrid Monte Carlo algorithm. The fermion and Higgs masses and the renormalized scalar field expectation value are computed on $L^3 24$ lattices, where $L$ ranges from $6$ to $16$. In the scaling region these quantities are found to have a $1/L^2$ dependence, which is used to determine their values in the infinite volume limit. We then calculate the $y_R$ and $\lambda_R$ from their tree level definitions in terms of the masses and renormalized scalar field expectation value, extrapolated to infinite volume. The scalar field propagators can be described for momenta up to the cut-off by one fermion loop renormalized perturbation theory and the results for $\lambda_R$ and $y_R$ come out to be close to the tree level unitarity bounds. There are no signs that are in contradiction with the triviality of the Yukawa and quartic self-coupling.
|
Wolfgang Bock, Christoph Frick, Jan Smit and Jeroen C. Vink
|
hep-lat hep-ph
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212026
|
hep-lat/9212027
|
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] |
The Spectrum of the Kazakov Migdal-Model
|
Gross has found an exact expression for the density of eigenvalues in the simplest version of the Kazakov-Migdal model of induced QCD. In this paper we compute the spectrum of small fluctuations around Gross's semi-circular solution. By solving Migdal's wave equation we find a string-like spectrum which, in four dimensions, corresponds to the infinite tower of mesons in strong coupling lattice QCD with adjoint matter. In one dimension our formula reproduces correctly the well known spectrum of the hermitean matrix model with a harmonic oscillator potential. We comment on the relevance of our results to the possibility of the model describing extended objects in more than one dimension.
|
S. Aoki and A. Gocksch
|
hep-lat hep-th
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212027
|
hep-lat/9212028
|
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] |
Large scale numerical simulation of the three-state Potts model
|
The three-state Potts model is numerically investigated on three-dimensional simple cubic lattices of up to \(128^3\) volume, concentrating on the neighborhood of the first-order phase transition separating the ordered and disordered phases. The ordered phase is found to allow admixture of disordered domains induced by a long-range attraction acting between the two different non-favored spins. This phenomenon gives an explanation of why the first-order phase transitions associated with the global \(Z_3\) symmetry are so weak. (Talk given at the International Symposium "Lattice 92" in Amsterdam, September 15-19, 1992)
|
Shigemi Ohta
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212028
|
hep-lat/9212029
|
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] |
Strongly Interacting Higgs Sector in the Minimal Standard Model?
|
The triviality Higgs mass bound is studied {\it without} lattice regulator in the spontaneously broken phase of the four dimensional O(4) symmetric scalar field theory with quartic self-interaction. A higher derivative term is introduced in the kinetic energy of the Lagrangian to keep quantum fluctuations finite while preserving all the symmetries of the model. When viewed as a {\it finite} field theory in continuum space-time, some excitations of the Higgs field have to be quantized with indefinite metric in the Hilbert space. It is shown that the associated ghost particles, which exhibit unusual resonance properties, correspond to a complex conjugate pair of Pauli-Villars regulator masses in the euclidean path integral formulation. The phase diagram of the O(4) model is determined in a Monte Carlo simulation which interpolates between the hypercubic lattice regulator and the higher derivative regulator in continuum space-time. The same method can be used to calculate the triviality Higgs mass bound without lattice artifacts. In a large-N analysis, when compared with a hypercubic lattice, we find a relative increase in the triviality bound of the higher derivative regulator suggesting a strongly interacting Higgs
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Karl Jansen, Julius Kuti and Chuan Liu
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hep-lat
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December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212029
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hep-lat/9212030
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] |
Chiral Fermions, Anomalies and Chern-Simons Currents on the Lattice
|
I discuss the zeromode spectrum of lattice chiral fermions in the domain wall model suggested recently. In particular I give the critical momenta where the fermions cease to be chiral and show that the spectrum is directly related to the behaviour of the Chern-Simons current on the lattice. First results for the domain wall model on the finite lattice indicate that the relevant features of the model in the infinite system survive for the finite lattice.
|
Karl Jansen
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212030
|
hep-lat/9212031
|
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] |
Hadron Mass Predictions of the Valence Approximation to Lattice QCD
|
We evaluate the infinite volume, continuum limits of eight hadron mass ratios predicted by lattice QCD with Wilson quarks in the valence (quenched) approximation. Each predicted ratio differs from the corresponding observed value by less than 6\%.
|
F. Butler, H. Chen, J. Sexton, A. Vaccarino, and D. Weingarten
|
hep-lat hep-ph
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212031
|
hep-lat/9212032
|
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] |
Series studies of the Potts model. I: The simple cubic Ising model
|
The finite lattice method of series expansion is generalised to the $q$-state Potts model on the simple cubic lattice. It is found that the computational effort grows exponentially with the square of the number of series terms obtained, unlike two-dimensional lattices where the computational requirements grow exponentially with the number of terms. For the Ising ($q=2$) case we have extended low-temperature series for the partition functions, magnetisation and zero-field susceptibility to $u^{26}$ from $u^{20}$. The high-temperature series for the zero-field partition function is extended from $v^{18}$ to $v^{22}$. Subsequent analysis gives critical exponents in agreement with those from field theory.
|
A J Guttmann and I G Enting
|
hep-lat
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212032
|
hep-lat/9212033
|
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] |
A realistic heat bath: theory and application to kink-antikink dynamics
|
We propose a new method of studying a real-time canonical evolution of field-theoretic systems with boundary coupling to a realistic heat bath. In the free-field case the method is equivalent to an infinite extension of the system beyond the boundary, while in the interacting case the extension of the system is done in linear approximation. We use this technique to study kink-antikink dynamics in $\varphi^4$ field theory in 1+1 dimensions.
|
A. Krasnitz and R. Potting
|
hep-lat cond-mat hep-th
|
December
| 1,992 |
https://arxiv.org/abs/hep-lat/9212033
|
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