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hep-lat/9409002
Subtleties and Fancies in Gauge Theory Non Trivial Vacuum
The one loop effective potential for a non-Abelian gauge configuration is analyzed using the background field method. The Savvidy result and the non-Abelian ansatz, the other alternative possible background that generates a constant color magnetic field configuration, are compared. This second possibility is very inter...
1994-09-06
2007-05-23
[ "hep-lat" ]
A.R. Levi
hep-lat/9409003
Critical Exponents, Hyperscaling and Universal Amplitude Ratios for Two- and Three-Dimensional Self-Avoiding Walks
We make a high-precision Monte Carlo study of two- and three-dimensional self-avoiding walks (SAWs) of length up to 80000 steps, using the pivot algorithm and the Karp-Luby algorithm. We study the critical exponents $\nu$ and $2\Delta_4 -\gamma$ as well as several universal amplitude ratios; in particular, we make an e...
1994-09-06
2009-10-22
[ "hep-lat", "cond-mat" ]
Bin Li, Neal Madras and Alan D. Sokal
hep-lat/9409004
Finite-Size Scaling at $\xi/L \gg 1$
We present a simple and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully its systematic and statistical errors, and we illustrate it using three examples: the two-dimensional three-state Potts antiferromagnet on the square lat...
1994-09-06
2009-10-22
[ "hep-lat", "cond-mat" ]
Sergio Caracciolo, Robert G. Edwards, Sabino Jos\'e Ferreira, Andrea Pelissetto and Alan D. Sokal
hep-lat/9409001
Critical exponents of a three dimensional O(4) spin model
By Monte Carlo simulation we study the critical exponents governing the transition of the three-dimensional classical O(4) Heisenberg model, which is considered to be in the same universality class as the finite-temperature QCD with massless two flavors. We use the single cluster algorithm and the histogram reweighting...
1994-09-01
2009-10-22
[ "hep-lat" ]
K. Kanaya and S. Kaya
hep-lat/9408022
Noncompact Gauge-Invariant Lattice Simulations
We have applied a new gauge-invariant, noncompact, Monte Carlo method to simulate $U(1)$, $SU(2)$, and $SU(3)$ gauge theories on $8^4$ and $12^4$ lattices. The Creutz ratios of the Wilson loops agree with the exact results for $U(1)$ for $\beta \ge 1$ apart from a renormalization of the charge. The $SU(2)$ and $SU(3)$ ...
1994-09-01
2007-05-23
[ "hep-lat" ]
Kevin Cahill and Gary Herling
hep-lat/9408021
The High-Temperature Expansion of the Hierarchical Ising Model: From Poincar\'e Symmetry to an Algebraic Algorithm
We show that the hierarchical model at finite volume has a symmetry group which can be decomposed into rotations and translations as the familiar Poincar\'e groups. Using these symmetries, we show that the intricate sums appearing in the calculation of the high-temperature expansion of the magnetic susceptibility can b...
1994-08-30
2011-08-12
[ "hep-lat" ]
Y. Meurice
hep-lat/9408020
Complex-Temperature Singularities of the Susceptibility in the $d=2$ Ising Model. I. Square Lattice
We investigate the complex-temperature singularities of the susceptibility of the 2D Ising model on a square lattice. From an analysis of low-temperature series expansions, we find evidence that as one approaches the point $u=u_s=-1$ (where $u=e^{-4K}$) from within the complex extensions of the FM or AFM phases, the su...
1994-08-29
2009-10-22
[ "hep-lat" ]
V. Matveev and R. Shrock
hep-lat/9408018
Lee-Yang zeroes in the one flavour massive lattice Schwinger model
We study the partition function of the model formulated with Wilson fermions with only one species, both analytically and numerically. At strong coupling we construct the solution for lattice size up to $8\times 8$, a polynomial in the hopping parameter up to $O(\ka^{128})$. At $\be>0$ we evaluate the expectation value...
1994-08-26
2009-10-22
[ "hep-lat" ]
H. Gausterer and C.B. Lang
hep-lat/9408019
An Improved Estimator for the Correlation Function of 2D Nonlinear Sigma Models
I present a new improved estimator for the correlation function of 2D nonlinear sigma models. Numerical tests for the 2D XY model and the 2D O(3)-invariant vector model were performed. For small physical volume, i.e. a lattice size small compared to the to the bulk correlation length, a reduction of the statistical err...
1994-08-25
2010-12-01
[ "hep-lat" ]
Martin Hasenbusch
hep-lat/9408017
Topological Zero Modes in Monte Carlo Simulations
We present an improvement of global Metropolis updating steps, the instanton hits, used in a hybrid Monte Carlo simulation of the two-flavor Schwinger model with staggered fermions. These hits are designed to change the topological sector of the gauge field. In order to match these hits to an unquenched simulation with...
1994-08-23
2015-06-25
[ "hep-lat" ]
H. Dilger
hep-lat/9408016
The (LATTICE) QCD Potential and Running Coupling: How to Accurately Interpolate between Multi-Loop QCD and the String Picture
We present a simple parameterization of a running coupling constant, defined via the static potential, that interpolates between 2-loop QCD in the UV and the string prediction in the IR. Besides the usual $\Lam$-parameter and the string tension, the coupling depends on one dimensionless parameter, determining how fast ...
1994-08-21
2009-10-22
[ "hep-lat", "hep-ph", "hep-th" ]
Timothy R. Klassen (Cornell University)
hep-lat/9408015
Entropy and the Approach to the Thermodynamic Limit in Three-Dimensional Simplicial Gravity
We present numerical results supporting the existence of an exponential bound in the dynamical triangulation model of three-dimensional quantum gravity.Both the critical coupling and various other quantities show a slow power law approach to the infinite volume limit.
1994-08-19
2009-10-22
[ "hep-lat", "hep-th" ]
S. Catterall, J. Kogut and R. Renken
hep-lat/9408014
Compact lattice QED with Wilson fermions
We study the phase structure and the chiral limit of $4d$ compact lattice QED with Wilson fermions (both dynamical and quenched). We use the standard Wilson gauge action and also a modified one suppressing lattice artifacts. Different techniques and observables to locate the chiral limit are discussed.
1994-08-18
2009-10-22
[ "hep-lat" ]
A. Hoferichter, V.K. Mitrjushkin, M. M\"uller-Preussker, T.Neuhaus and H. St\"uben
hep-lat/9408013
Spectrum of the Dirac Operator and Multigrid Algorithm with Dynamical Staggered Fermions
Complete spectra of the staggered Dirac operator $\Dirac$ are determined in quenched four-dimensional $SU(2)$ gauge fields, and also in the presence of dynamical fermions. Periodic as well as antiperiodic boundary conditions are used. An attempt is made to relate the performance of multigrid (MG) and conjugate grad...
1994-08-17
2009-10-22
[ "hep-lat" ]
Thomas Kalkreuter
hep-lat/9408012
Interrelation of a Z(3) Gauge Theory on the Flat Lattices and a Spin-1 BEG Model
The Z(3) gauge model with double plaquette representation of the action on the flat triangular and square lattices is constructed. It is reduced to the spin-1 Blume-Emery-Griffiths (BEG) model. An Ising-type critical line of a second-order phase transition is found.
1994-08-16
2009-09-25
[ "hep-lat", "hep-th" ]
N.S. Ananikian and R.R. Shcherbakov
hep-lat/9408011
Tricritical Phenomena in a Z(3) Lattice Gauge Theory
The Z(3) gauge model with double plaquette representation of the action on a generalized Bethe lattice of plaquettes is constructed. It is reduced to the spin-1 Blume-Emery-Griffiths (BEG) model. An Ising-type critical line of a second-order phase transition ending in the tricritical point is found.
1994-08-16
2009-10-22
[ "hep-lat", "hep-th" ]
N.S. Ananikian and R.R. Shcherbakov
hep-lat/9408010
"Confinement Mechanism in Various Abelian Projections of $SU(2)$ Lattice Gluodynamics"
We show that the monopole confinement mechanism in lattice gluodynamics is a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2) \rightarrow U(1)$ projection (the minimal abelian projection), in which the confinement is due to topological objects other than monopoles. We perf...
1994-08-11
2010-11-01
[ "hep-lat", "hep-th" ]
M.N. Chernodub, M.I. Polikarpov and A.I. Veselov
hep-lat/9408009
Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory
The lattice data for the energy density of $SU(2)$ gauge theory are calculated with \nop~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nop~beta function in accord with the measured critical temperature and $\Delta\beta-$values and ii) a \nop~calcul...
1994-08-08
2009-10-22
[ "hep-lat" ]
J. Engels, F. Karsch and K. Redlich
hep-lat/9408008
Non-Perturbative Renormalization Group Flows in Two-Dimensional Quantum Gravity
Recently a block spin renormalization group approach was proposed for the dynamical triangulation formulation of two-dimensional quantum gravity. We use this approach to examine non-perturbatively a particular class of higher derivative actions for pure gravity.
1994-08-05
2009-10-22
[ "hep-lat" ]
Ray L. Renken, Simon M. Catterall, and John B. Kogut
hep-lat/9408007
Nucleon Structure from Lattice QCD
We report results on the nucleon structure obtained from the lattice quantum chromodynamics calculation. These include the axial, electromagnetic, $\pi NN$, and scalar form factors. The calculation is carried out at $\beta = 6$ on a $16^3 \times 24$ lattice with 24 quenched gauge configurations. The chiral limit result...
1994-08-05
2009-09-25
[ "hep-lat", "hep-ph", "nucl-th" ]
Keh-Fei Liu
hep-lat/9408005
The Sine Gordon Model: Perturbation Theory and Cluster Monte Carlo
We study the expansion of the surface thickness in the 2-dimensional lattice Sine Gordon model in powers of the fugacity z. Using the expansion to order z**2, we derive lines of constant physics in the rough phase. We describe and test a VMR cluster algorithm for the Monte Carlo simulation of the model. The algorithm s...
1994-08-04
2009-10-22
[ "hep-lat" ]
M. Hasenbusch, M. Marcu, and K. Pinn
hep-lat/9408006
A Lattice Calculation of the Heavy Quark Universal Form Factor
A preliminary computation of the Isgur-Wise universal form factor using a lattice formulation of the Heavy Quark Effective Theory (HQET) is described and compared with the recent data from ARGUS and CLEO on B -> D*lv decay.
1994-08-04
2015-06-25
[ "hep-lat" ]
Jeffrey E. Mandula and Michael C. Ogilvie
hep-lat/9408004
Monopole action and condensation in SU(2) QCD
An effective monopole action for various extended monopoles is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. The action appears to be independent of the lattice volume. Moreover it seems to depend only on the physical lattice spacing of the renormalized latti...
1994-08-03
2009-10-22
[ "hep-lat" ]
Hiroshi Shiba and Tsuneo Suzuki
hep-lat/9408002
Pion-Nucleon Sigma Term in Lattice QCD
We calculate both connected and disconnected contribution to the $\pi$-$N$ $\sigma$-term in quenched lattice QCD with Wilson quark action on a $12^3\times 20$ lattice at $\beta=5.7$. The latter is evaluated with the aid of the variant wall source method, which was previously applied successfully for extraction of $\pi$...
1994-08-02
2009-10-22
[ "hep-lat" ]
M. Fukugita, Y. Kuramashi, M. Okawa and A. Ukawa
hep-lat/9408003
Polyakov loops and monopoles in QCD
Monte-Carlo simulations of abelian projection of $T \neq 0$ pure lattice QCD show that 1) Polyakov loops written in terms of abelian link fields alone play a role of an order parameter of deconfinement transition, 2) the abelian Polyakov loops are decomposed into contributions from Dirac strings of monopoles and from p...
1994-08-02
2009-10-22
[ "hep-lat" ]
Tsuneo Suzuki, Sawut Ilyar, Yoshimi Matsubara, Tsuyoshi Okude and Kenji Yotsuji
hep-lat/9408001
Chiral perturbation theory, finite size effects and the three-dimensional $XY$ model
We study finite size effects of the d=3 $XY$ model in terms of the chiral perturbation theory. We calculate by Monte Carlo simulations physical quantities which are, to order of $(1/L)^2$, uniquely determined only by two low energy constants. They are the magnetization and the helicity modulus (or the Goldstone boson d...
1994-08-01
2009-10-22
[ "hep-lat", "cond-mat" ]
S. Tominaga and H. Yoneyama
hep-lat/9407028
Non perturbative determination of the running coupling constant in quenched SU(2)
Through a finite size renormalization group technique we calculate the running coupling constant for quenched SU(2) with a few percent error over a range of energy varying by a factor thirty. The definition is based on ratio of correlations of Polyakov loops with twisted boundary conditions. The extrapolation to the co...
1994-07-29
2009-10-22
[ "hep-lat" ]
G.M. de Divitiis, R.Frezzotti, M.Guagnelli, R.Petronzio
hep-lat/9407026
Heating and small-size instantons in the $O(3) \:\sigma$ model on the lattice
We study the role of small-size instantons in the determination of the topological susceptibility of the 2-d $O(3) \: \sigma $ model on the lattice. In particular, we analyze how they affect the non-perturbative determination, by Monte Carlo techniques, of the renormalizations on the lattice. As a result, we obtain a h...
1994-07-29
2011-07-19
[ "hep-lat" ]
F. Farchioni and A. Papa
hep-lat/9407030
Reply to M.Campostrini's and P.Rossi's Comment on our paper `Nonuniformity of the $1/N$ Expansion for Two-Dimensional $O(N)$ Models'
This reply tries to rectify some misunderstandings that are in our opinion contained in the Comment by Campostrini and Rossi, <hep-lat 99407008> on our paper <hep-lat 9407003>.
1994-07-29
2007-05-23
[ "hep-lat" ]
A.Patrascioiu and E.Seiler
hep-lat/9407029
Supersymmetric corrections to $\epsilon^\prime /\epsilon at the leading order in QCD and QED
We study the corrections to $\epsilon^\prime /\epsilon$ in the minimal supersymmetric model at the leading order in QCD and QED. Supersymmetry can increase the standard model prediction for $\epsilon^\prime /\epsilon$ by at most 40\% for $m_t=174$ GeV, an enhancement which is indistinguishable from the present theoreti...
1994-07-29
2010-11-01
[ "hep-lat", "hep-ph" ]
E. Gabrielli and G.F. Giudice
hep-lat/9407027
Beautiful Baryons from Lattice QCD
We perform a lattice study of heavy baryons, containing one ($\Lambda_b$) or two $b$-quarks ($\Xi_b$). Using the quenched approximation we obtain for the mass of $\Lambda_b$ $$ M_{\Lambda_b}= 5.728 \pm 0.144 \pm 0.018 {\rm GeV}.$$ The mass splitting between the $\Lambda_b$ and the B-meson is found to increase by about ...
1994-07-29
2019-08-17
[ "hep-lat" ]
C. Alexandrou, A. Borrelli, S. G\"usken, F. Jegerlehner, K. Schilling, G. Siegert, R. Sommer
hep-lat/9407025
Properties of B-Mesons in Lattice QCD
The results of an extensive study of B-meson properties in quenched lattice QCD are presented. The studies are carried out in the static quark limit where the b-quark is taken to be infinitely massive. Our computations rely on a multistate smearing method introduced previously, with smearing functions generated from a ...
1994-07-28
2011-02-01
[ "hep-lat", "hep-ph" ]
A. Duncan, E. Eichten, J. Flynn, B. Hill, G. Hockney, and H. Thacker
hep-lat/9407024
Ising Spins on Thin Graphs
The Ising model on ``thin'' graphs (standard Feynman diagrams) displays several interesting properties. For ferromagnetic couplings there is a mean field phase transition at the corresponding Bethe lattice transition point. For antiferromagnetic couplings the replica trick gives some evidence for a spin glass phase. In...
1994-07-28
2016-08-31
[ "hep-lat", "cond-mat", "hep-th" ]
C. F. Baillie, D. A. Johnston and J-P. Kownacki
hep-lat/9407022
String tension and monopoles in $T \neq 0$ SU(2) QCD
Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. Long monopole loops alone are responsible for the behavior of the string tension in the confinement phase up to the critical $\beta_c$. Short monopole ...
1994-07-28
2009-10-22
[ "hep-lat" ]
Shinji Ejiri, Shun-ichi Kitahara, Yoshimi Matsubara and Tsuneo Suzuki
hep-lat/9407023
Low-Temperature Series for the Correlation Length in $d=3$ Ising Model
We extend low-temperature series for the second moment of the correlation function in $d=3$ simple-cubic Ising model from $u^{15}$ to $u^{26}$ using finite-lattice method, and combining with the series for the susceptibility we obtain the low-temperature series for the second-moment correlation length to $u^{23}$. An a...
1994-07-28
2009-10-22
[ "hep-lat" ]
H. Arisue and K. Tabata
hep-lat/9407021
Can Sigma Models Describe Finite Temperature Chiral Transitions?
Large-N expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field theory. This is a counterexample to the standard 'sigma model' scenario which predicts the 2D Ising model universality class. We tra...
1994-07-27
2009-10-22
[ "hep-lat", "cond-mat", "hep-ph" ]
Aleksandar Kocic and John Kogut
hep-lat/9407020
Regge gravity on general triangulations
We investigate quantum gravity in four dimensions using the Regge approach on triangulations of the four-torus with general, non-regular incidence matrices. We find that the simplicial lattice tends to develop spikes for vertices with low coordination numbers even for vanishing gravitational coupling. Different to the ...
1994-07-26
2009-10-22
[ "hep-lat", "gr-qc" ]
Wolfgang Beirl, Harald Markum, and J"urgen Riedler
hep-lat/9407019
Deconfinement Transition in Large N Lattice Gauge Theory
We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel action, and we study the resulting models both in the strong coupling and in the w...
1994-07-26
2009-10-22
[ "hep-lat", "hep-th" ]
M. Billo', M. Caselle, A. D'Adda, L. Magnea and S. Panzeri
hep-lat/9407016
Fractal Structure in Two-Dimensional Quantum Regge Calculus
We study the fractal structure of the surface in two-dimensional quantum Regge calculus by performing Monte Carlo simulation with up to 200,000 triangles. The result can be compared with the universal scaling function obtained analytically in the continuum limit of dynamical triangulation, which provides us with a defi...
1994-07-25
2009-10-22
[ "hep-lat" ]
Jun Nishimura and Masaki Oshikawa
hep-lat/9407018
Random Geometries and Real Space Renormalization Group
A method of ``blocking'' triangulations that rests on the self-similarity feature of dynamically triangulated random manifolds is proposed. The method is used to define the renormalization group for random geometries. As an illustration, the idea is applied to pure euclidean quantum gravity in two dimensions. Generalis...
1994-07-25
2009-10-22
[ "hep-lat", "hep-th" ]
D. Johnston, J-P. Kownacki and A. Krzywicki
hep-lat/9407017
The Phases and Triviality of Scalar Quantum Electrodynamics
The phase diagram and critical behavior of scalar quantum electrodynamics are investigated using lattice gauge theory techniques. The lattice action fixes the length of the scalar (``Higgs'') field and treats the gauge field as non-compact. The phase diagram is two dimensional. No fine tuning or extrapolations are need...
1994-07-25
2019-08-17
[ "hep-lat", "cond-mat", "hep-ph" ]
M.Baig, H.Fort, JB Kogut, S.Kim
hep-lat/9407015
Manifestation of Sea Quark Effects in the Strong Coupling Constant in Lattice QCD
We demonstrate that sea quark effects of a magnitude expected from renormalization group considerations are clearly visible in the strong coupling constant measured in current full QCD simulations. Building on this result an estimate of $\alpha_{\overline{MS}}^{(5)}(M_Z)$ is made employing the charmonium $1S-1P$ mass s...
1994-07-25
2009-10-22
[ "hep-lat" ]
S. Aoki, M. Fukugita, S. Hashimoto, N. Ishizuka, H. Mino, M. Okawa, T. Onogi and A. Ukawa
hep-lat/9407014
Curvature and scaling in 4D dynamical triangulation
We study the average number of simplices $N'(r)$ at geodesic distance $r$ in the dynamical triangulation model of euclidean quantum gravity in four dimensions. We use $N'(r)$ to explore definitions of curvature and of effective global dimension. An effective curvature $R_V$ goes from negative values for low $\kappa_2$ ...
1994-07-22
2009-10-22
[ "hep-lat", "gr-qc" ]
Bas V. de Bakker and Jan Smit
hep-lat/9407013
Probing with Penguins: A lattice calculation of the branching ratio for some of the exclusive modes of $b \to s \gamma$
We calculate the leading-order matrix element for exclusive decays of $b \to s\gamma$ in the quenched approximation of lattice QCD on a $24^3\times48$ lattice at $\beta=6.2$, using an O(a)-improved fermion action. The matrix element is used to extract the on-shell form factor $T_1(q^2=0)$ for $B \to K^*\gamma$ and $B_s...
1994-07-19
2009-10-22
[ "hep-lat", "hep-ph" ]
K. C. Bowler, et al. (UKQCD Collaboration)
hep-lat/9407012
An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD
An exploratory study is made of the nucleon-nucleon $s$-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The $\pi$-$N$ and $\pi$-$\pi$ scattering lengths are also calculated for comparison. The calculations are made with heavy quarks corresponding to $m_\pi/m_\rho\approx 0.73-0.95$. The res...
1994-07-19
2016-08-31
[ "hep-lat", "nucl-th" ]
M. Fukugita, Y. Kuramashi, H. Mino, M. Okawa and A. Ukawa
hep-lat/9407011
Scaling in the Positive Plaquette Model and Universality in SU(2) Lattice Gauge Theory
We investigate universality, scaling, the beta-function and the topological charge in the positive plaquette model for SU(2) lattice gauge theory. Comparing physical quantities, like the critical temperature, the string tension, glueball masses, and their ratios, we explore the effect of a complete suppression of a cer...
1994-07-15
2009-10-22
[ "hep-lat" ]
J.Fingberg, U.M.Heller and V.Mitrjushkin
hep-lat/9407010
Simulation of Field Theories in Wavelet Representation
The field is expanded in a wavelet series and the wavelet coefficients are varied in a simulation of the 2D $\phi^4$ field theory. The drastically reduced autocorrelations result in a substantial decrease of computing requirements, compared to those in local Metropolis simulations. A large part of the improvement is sh...
1994-07-15
2009-10-22
[ "hep-lat" ]
I.G. Halliday and P. Suranyi
hep-lat/9407009
Compact Lattice QED with Staggered Fermions and Chiral Symmetry Breaking
Different formulations of the $4d$ compact lattice QED with staggered fermions (standard Wilson and modified by suppression of lattice artifacts) are investigated by Monte Carlo simulations within the quenched approximation. We show that after suppressing lattice artifacts the system undergoes a phase transition from t...
1994-07-14
2009-10-22
[ "hep-lat" ]
A. Hoferichter, V.K. Mitrjushkin and M. M\"uller-Preussker
hep-lat/9407008
Comment on A. Patrascioiu and E. Seiler's paper ``Nonuniformity of the $1/N$ Expansion for Two-Dimensional $O(N)$ Models''
We remind that the non-uniformity in the temperature of the $1/N$ expansion for dimensionful quantities pointed out in Patrascioiu and Seiler's paper is not only compatible with but is predicted by asymptotic freedom, and it is present in the continuum as well as on the lattice. The convergence of the $1/N$ expansion f...
1994-07-14
2007-05-23
[ "hep-lat" ]
Massimo Campostrini and Paolo Rossi
hep-lat/9407005
Compact U(1) Gauge Theory on Lattices with Trivial Homotopy Group
We study the pure gauge model on a lattice manifold with trivial fundamental homotopy group, homotopically equivalent to an $S_4$. Monopole loops may fluctuate freely on that lattice without restrictions due to the boundary conditions. For the original Wilson action on the hypertorus there is an established two-state s...
1994-07-13
2009-10-22
[ "hep-lat" ]
C.B. Lang and T. Neuhaus
hep-lat/9407006
Multibondic Cluster Algorithm for Monte Carlo Simulations of First-Order Phase Transitions
Inspired by the multicanonical approach to simulations of first-order phase transitions we propose for $q$-state Potts models a combination of cluster updates with reweighting of the bond configurations in the Fortuin-Kastelein-Swendsen-Wang representation of this model. Numerical tests for the two-dimensional models w...
1994-07-13
2009-10-22
[ "hep-lat", "cond-mat" ]
Wolfhard Janke and Stefan Kappler
hep-lat/9407007
Investigation of Laplacian Gauge Fixing for U(1) and SU(2) Gauge Fields
The Laplacian gauge on the lattice is investigated numerically using U(1) and SU(2) gauge fields. The problem of Gribov ambiguities is addressed and to asses the smoothness of the gauge fixed configurations, they are compared to configurations fixed to the Landau gauge. The results of these comparisons with the Landau ...
1994-07-13
2009-10-22
[ "hep-lat" ]
Jeroen C. Vink
hep-lat/9407004
Large Energy Cumulants in the 2D Potts Model and their Effects in Finite Size Analysis
We develop an ansatz for expressing the free energy of the two dimensional $q$-states Potts model for $q > 4$ near its first order phase transition point. We notice that for the moderate values of $ q \lesssim 15 $, the energy profile at the phase transition is not expressible as a sum of gaussians. We discuss how this...
1994-07-08
2009-09-25
[ "hep-lat" ]
T. Bhattacharya, R. Lacaze, A. Morel
hep-lat/9407003
Nonuniformity of the $1/N$ Expansion for Two-Dimensional $O(N)$ Models
We point out that the $1/N$ expansion, which is widely invoked to infer properties of the $2D$ $O(N)$ models, is nonuniform in the temperature, i.e. with decreasing temperature the $1/N$ expansion truncated at a fixed order deviates more and more from the true answer. This fact precludes the use of the expansion to ded...
1994-07-05
2009-10-22
[ "hep-lat", "cond-mat" ]
A.Patrascioiu and E.Seiler
hep-lat/9407002
Rough Interfaces Beyond the Gaussian Approximation
We compare predictions of the Capillary Wave Model beyond its Gaussian approximation with Monte Carlo results for the energy gap and the surface energy of the 3D Ising model in the scaling region. Our study reveals that the finite size effects of these quantities are well described by the Capillary Wave Model, expanded...
1994-07-04
2009-10-22
[ "hep-lat", "cond-mat", "hep-th" ]
M. Caselle, R. Fiore, F. Gliozzi, M. Hasenbusch, K. Pinn and S. Vinti
hep-lat/9407001
Phase of the Wilson Line
This paper discusses the global $Z(N)$ symmetry of finite-temperature, $SU(N)$, pure Yang-Mills lattice gauge theory and the physics of the phase of the Wilson line expectation value. In the high $T$ phase, $\langle L \rangle$ takes one of $N$ distinct values proportional to the $Nth$ roots of unity in $Z(N)$, and the ...
1994-07-02
2009-10-22
[ "hep-lat" ]
J. Kiskis
hep-lat/9406021
Distribution of the color fields around static quarks: Flux tube profiles
We report detailed calculations of the profiles of energy and action densities in the quark-antiquark string in SU(2) lattice gauge theory.
1994-06-29
2016-08-31
[ "hep-lat" ]
Richard W. Haymaker, Vandana Singh, Yingcai Peng and Jacek Wosiek
hep-lat/9406019
Canonical Demon Monte Carlo Renormalization Group
We describe a new method to compute renormalized coupling constants in a Monte Carlo renormalization group calculation. The method can be used for a general class of models, e.g., lattice spin or gauge models. The basic idea is to simulate a joint system of block spins and canonical demons. In contrast to the Microcano...
1994-06-27
2009-10-22
[ "hep-lat" ]
M. Hasenbusch, K. Pinn, and C. Wieczerkowski
hep-lat/9406020
The critical behaviour of Ising spins on 2D Regge lattices
We performed a high statistics simulation of Ising spins coupled to 2D quantum gravity on toroidal geometries. The tori were triangulated using the Regge calculus approach and contained up to $512^2$ vertices. We used a constant area ensemble with an added $R^2$ interaction term, employing the $dl/l$ measure. We find c...
1994-06-27
2009-10-22
[ "hep-lat" ]
C. Holm and W. Janke
hep-lat/9406018
Failure of the Regge approach in two dimensional quantum gravity
Regge's method for regularizing euclidean quantum gravity is applied to two dimensional gravity. We use two different strategies to simulate the Regge path integral at a fixed value of the total area: A standard Metropolis simulation combined with a histogramming method and a direct simulation using a Hybrid Monte Carl...
1994-06-25
2009-10-22
[ "hep-lat", "gr-qc", "hep-th" ]
Wolfgang Bock and Jeroen C. Vink
hep-lat/9406017
Precision Upsilon Spectroscopy from Nonrelativistic Lattice QCD
The spectrum of the Upsilon system is investigated using the Nonrelativistic Lattice QCD approach to heavy quarks and ignoring light quark vacuum polarization. We find good agreement with experiment for the Upsilon(1S), Upsilon(2S), Upsilon(3S) and for the center of mass and fine structure of the chi_b states. The latt...
1994-06-25
2011-01-27
[ "hep-lat" ]
C.T.H. Davies, K. Hornbostel, A. Langnau, G.P. Lepage, A. Lidsey, J. Shigemitsu, and J. Sloan
hep-lat/9406016
Vortex Loops In The 3-d XY Model
We study the properties of vortex loops in the 3-d XY model. We find that the phase transition in this model is driven by the condensation of short loops into percolating loops. Paper comes as a uuencoded compressed tar-file, containing the complete PostScript file. Total file approx. 220 Kb.
1994-06-24
2007-05-23
[ "hep-lat" ]
Arjan Hulsebos
hep-lat/9406015
Fermion production despite fermion number conservation
Lattice proposals for a nonperturbative formulation of the Standard Model easily lead to a global U(1) symmetry corresponding to exactly conserved fermion number. The absence of an anomaly in the fermion current would then appear to inhibit anomalous processes, such as electroweak baryogenesis in the early universe. On...
1994-06-23
2010-11-01
[ "hep-lat", "hep-ph" ]
Wolfgang Bock, James E. Hetrick and Jan Smit
hep-lat/9406013
Multigrid Monte Carlo Algorithms for SU(2) Lattice Gauge Theory: Two versus Four Dimensions
We study a multigrid method for nonabelian lattice gauge theory, the time slice blocking, in two and four dimensions. For SU(2) gauge fields in two dimensions, critical slowing down is almost completely eliminated by this method. This result is in accordance with theoretical arguments based on the analysis of the scale...
1994-06-20
2014-11-17
[ "hep-lat" ]
M. Grabenstein and K. Pinn
hep-lat/9406014
Asymptotic scaling from strong coupling
Strong-coupling analysis of two-dimensional chiral models, extended to 15th order, allows for the identification of a scaling region where known continuum results are reproduced with great accuracy, and asymptotic scaling predictions are fulfilled. The properties of the large-$N$ second-order phase transition are quant...
1994-06-20
2009-12-30
[ "hep-lat" ]
Massimo Campostrini, Paolo Rossi, and Ettore Vicari
hep-lat/9406012
Effective Scalar Field Theory for the Electroweak Phase Transition
We investigate an effective model for the finite temperature restoration phase transition of the electroweak theory. It is obtained by dimensional reduction of the $3+1$ dimensional full theory and by subsequent integration over all static gauge degrees of freedom. The resulting theory corresponds to a $3$-dimensional ...
1994-06-17
2011-07-19
[ "hep-lat" ]
F. Karsch, T. Neuhaus and A. Patkos
hep-lat/9406011
A Proposal of a Renormalization Group Transformation for Lattice Field Theories
We propose a new Real Space Renormalization Group transformation useful for Monte Carlo calculations in theories with global or local symmetries. From relaxation arguments we define the block-spin transformation with two tunable free parameters, adapted to the system's action. Varying them it is possible to place the f...
1994-06-16
2011-07-19
[ "hep-lat" ]
L.A.Fernandez, Munoz Sudupe, J.J.Ruiz-Lorenzo and A.Tarancon
hep-lat/9406010
Monopole action from vacuum configurations in compact QED
It is possible to derive a monopole action from vacuum configurations obtained in Monte-Carlo simulations extending the method developed by Swendsen. We apply the method to compact QED both in the Villain and in the Wilson forms. The action of the natural monopoles in the Villain case is in fairly good agreement with t...
1994-06-16
2009-10-22
[ "hep-lat" ]
Hiroshi Shiba and Tsuneo Suzuki
hep-lat/9406009
Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD
Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is developed to use this behavior to correct for leading image contributions on a finit...
1994-06-15
2009-09-25
[ "hep-lat" ]
J. W. Negele, M. Burkardt, and J. M. Grandy
hep-lat/9406008
Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
We study the quark mass dependence of various response functions, which contribute to chiral susceptibilities and the specific heat in the staggered fermion formulation of two-flavour QCD. This yields information about the critical exponents $\alpha$, $\beta$ and $\delta$. In the case of the chiral susceptibility, obta...
1994-06-13
2009-10-22
[ "hep-lat" ]
Frithjof Karsch and Edwin Laermann
hep-lat/9406007
$\pi NN$ and Pseudoscalar Form Factors from Lattice QCD
The $\pi NN$ form factor $g_{\pi NN}(q^2)$ is obtained from a quenched lattice QCD calculation of the pseudoscalar form factor $g_P(q^2)$ of the proton with pion pole dominance. We find that $g_{\pi NN}(q^2)$ fitted with the monopole form agrees well with the Goldberger-Treiman relation and is much preferred over the d...
1994-06-10
2009-09-25
[ "hep-lat", "hep-ph", "nucl-th" ]
K.F. Liu, S.J. Dong, Terrence Draper, and Walter Wilcox
hep-lat/9406006
Nonperturbative Studies of Quantum Gravity
One of several possibilities to construct a quantum theory of gravity is employing the Feynman path integral. This approach is plagued by some problems: the integration measure is not uniquely defined, the Einstein-Hilbert action unbounded, and perturbation theory nonrenormalizable. To make the path integral tractable ...
1994-06-08
2008-02-03
[ "hep-lat" ]
J. Riedler
hep-lat/9406005
Nonassociative Algebras and Nonperturbative Field Theory for Hierarchical Models
Hierarchical renormalization group (RG) transformations are related to nonassociative algebras. These algebras serve as a new basic tool for a rigorous treatment of global RG flows and the search of nontrivial infrared fixed points. Convergent expansion methods are presented and analyzed in terms of algebra norms. It i...
1994-06-07
2007-05-23
[ "hep-lat" ]
A. Pordt and C. Wieczerkowski
hep-lat/9406002
Radiative Corrections to the Kinetic Couplings in Nonrelativistic Lattice QCD
The heavy-quark mass and wave function renormalizations, energy shift, and radiative corrections to two important couplings, the so-called kinetic couplings, in nonrelativistic lattice QCD are determined to leading order in tadpole-improved perturbation theory. The scales at which to evaluate the running QCD coupling f...
1994-06-02
2010-11-01
[ "hep-lat" ]
Colin J. Morningstar
hep-lat/9406003
Fixed boundary conditions and phase transitions in pure gauge compact QED
We have simulated the pure gauge compact QED with fixed boundary conditions, on lattices from $6^4$ to $16^4$. We argue that a lattice with this fixed boundary imposition corresponds actually to a lattice with spherical topology. We have found the presence of a phase transition without any trace of discontinuity. Moreo...
1994-06-02
2009-10-22
[ "hep-lat" ]
M. Baig and H. Fort
hep-lat/9406004
Monopole Percolation in pure gauge compact QED
The role of monopoles in quenched compact QED has been studied by measuring the cluster susceptibility and the order parameter $n_{max}/n_{tot}$ previously introduced by Hands and Wensley in the study of the percolation transition observed in non-compact QED. A correlation between these parameters and the energy (actio...
1994-06-02
2009-10-22
[ "hep-lat" ]
M. Baig H. Fort and J.B. Kogut
hep-lat/9406001
Gauge-Invariant Noncompact Lattice Simulations
Three techniques for performing gauge-invariant, noncompact lattice simulations of nonabelian gauge theories are discussed. In the first method, the action is not itself gauge invariant, but a kind of lattice gauge invariance is restored by random compact gauge transformations during the successive sweeps of the simu...
1994-06-01
2008-02-03
[ "hep-lat" ]
Kevin Cahill
hep-lat/9405025
Detecting Dual Superconductivity in the Ground State of Gauge Theories - II
A monopole creation operator is constructed: its vacuum expectation value is an order parameter for dual superconductivity in that, if different from zero it signals spontaneous breaking of the U(1) symmetry corresponding to monopole charge conservation. The operator is tested on compact U(1) gauge theory on lattice. F...
1994-05-31
2007-05-23
[ "hep-lat", "hep-th" ]
L. Del Debbio A. Di Giacomo G. Paffuti P. Pieri
hep-lat/9405026
Simulations of Dynamically Triangulated Gravity -- an Algorithm for Arbitrary Dimension
Recent models for discrete euclidean quantum gravity incorporate a sum over simplicial triangulations. We describe an algorithm for simulating such models in general dimensions. As illustration we show results from simulations in four dimensions
1994-05-31
2009-10-22
[ "hep-lat" ]
S. Catterall
hep-lat/9405024
Exploratory Study of the 3-Gluon Vertex on the Lattice
We define and evaluate on the lattice the amputated 3-gluon vertex function in momentum space. We give numerical results for $16^3 \times 40$ and $24^3 \times 40$ quenched lattices at $\beta=6.0$. A good numerical signal is obtained, at the price of enforcing the gauge-fixing condition with high accuracy. By comp...
1994-05-26
2008-12-24
[ "hep-lat" ]
C. Parrinello
hep-lat/9405021
Numerical Simulations and the Strength of the Electroweak Phase Transition
Numerical simulations are performed to study the finite temperature phase transition in the SU(2) Higgs model on the lattice. The strength of the first order phase transition is investigated by determining the latent heat and the interface tension on $L_t=2$ lattices. The values of the Higgs boson mass presently chosen...
1994-05-25
2009-10-22
[ "hep-lat", "hep-ph" ]
F. Csikor, Z. Fodor, J. Hein, K. Jansen, A. Jaster, I. Montvay
hep-lat/9405022
Scaling with a modified Wilson action which suppresses Z_2 artifacts in SU(2) lattice gauge theories
A modified Wilson action which suppresses plaquettes which take negative values is used to study the scaling behavior of the string tension. The use of the $\b_E$ scheme gives good agreement with asymptotic two loop results.
1994-05-25
2009-10-22
[ "hep-lat" ]
J. Ambjorn and G. Thorleifsson
hep-lat/9405023
Finite-Size analysis of the 4-d abelian surface gauge model
We present the results of a finite-size analysis of the four dimensional abelian surface gauge model. This model is defined assigning abelian variables to the plaquettes of an hypercubical lattice, and is dual to the four dimensional Ising model. This last model is known to present a second order phase transition with ...
1994-05-25
2009-10-22
[ "hep-lat", "cond-mat" ]
M. Baig and R. Villanova
hep-lat/9405019
Four Loop Result in $SU(3)$ Lattice Gauge Theory by a Stochastic Method: Lattice Correction to the Condensate
We describe a stochastic technique which allows one to compute numerically the coefficients of the weak coupling perturbative expansion of any observable in Lattice Gauge Theory. The idea is to insert the exponential representation of the link variables $U_\mu(x) \to \exp\{A_\mu(x)/\sqrt\beta\}$ into the Langevin algor...
1994-05-24
2009-10-22
[ "hep-lat" ]
F. Di Renzo, G. Marchesini, P. Marenzoni, E. Onofri
hep-lat/9405020
Core -- a New Computational Technique for Lattice Systems
The COntractor REnormalization group (CORE) method, a new approach to solving Hamiltonian lattice systems, is introduced. The method combines contraction and variational techniques with the real-space renormalization group approach. It applies to lattice systems of infinite extent and is ideal for studying phase struct...
1994-05-24
2009-10-22
[ "hep-lat", "cond-mat" ]
Colin J. Morningstar and Marvin Weinstein
hep-lat/9405018
The SU(3) deconfining phase transition with Symanzik action
We report on the determination of the deconfining temperature in SU(3) pure gauge theory, using the Symanzik tree level improved action, on lattices of size 3 x 12^3, 4 x 16^3, 5 x 20^3, 6 x24^3. We find that the asymptotic scaling violation pattern is similar to the one observed using the Wilson action. We conclude th...
1994-05-24
2009-10-22
[ "hep-lat" ]
G.Cella, G.Curci, A.Vicere', B.Vigna
hep-lat/9405017
Adiabatic Quantum Transport: Quantization and Fluctuations
Quillen's local index theorem is used to study the charge transport coefficients (adiabatic curvature) associated to the ground state of a Schr\"odinger operator for a charged (spinless) particle on a closed, multiply connected surface. The formula splits the adiabatic curvature into an explicit integral part and a flu...
1994-05-23
2009-10-22
[ "hep-lat" ]
J.E.Avron, R. Seiler and P. Zograf
hep-lat/9405015
Antiferromagnetic Potts Models on the Square Lattice
We study the antiferromagnetic $q$-state Potts model on the square lattice for $q=3$ and $q=4$, using the Wang-Swendsen-Koteck\'y Monte Carlo algorithm and a new finite-size-scaling extrapolation method. For $q=3$ we obtain good control up to correlation length $\xi \sim 5000$; the data are consistent with $\xi(\beta) ...
1994-05-17
2016-08-31
[ "hep-lat", "cond-mat" ]
Sabino Jos\'e Ferreira and Alan D. Sokal
hep-lat/9405014
The Effect of Dynamical Gauge Field on the Chiral Fermion on a boundary
We study the effect of dynamical gauge field on the Kaplan's chiral fermion on a boundary in the strong gauge coupling limit in the extra dimension. To all orders of the hopping parameter expansion, we prove exact parity invariance of the fermion propagator on the boundary. This means that the chiral property of the bo...
1994-05-17
2015-06-25
[ "hep-lat" ]
H.Aoki, S.Iso, J.Nishimura and M.Oshikawa
hep-lat/9405016
Monte Carlo Methods for the Self-Avoiding Walk
This article is a pedagogical review of Monte Carlo methods for the self-avoiding walk, with emphasis on the extraordinarily efficient algorithms developed over the past decade.
1994-05-17
2007-05-23
[ "hep-lat", "cond-mat" ]
Alan D. Sokal
hep-lat/9405013
Volume dependence of the phase boundary in 4D dynamical triangulation
The number of configurations of the dynamical triangulation model of 4D euclidean quantum gravity appears to grow faster than exponentially with the volume, with the implication that the system would end up in the crumpled phase for any fixed $\kappa_2$ (inverse bare Newton constant). However, a scaling region is not e...
1994-05-16
2009-10-22
[ "hep-lat", "gr-qc" ]
Bas V. de Bakker and Jan Smit
hep-lat/9405012
Polyakov Loops and Finite-Size Effects of Hadron Masses in Lattice Full Q.C.D
The polarization of Polyakov type loops is responsible for the difference between quenched and unquenched finite size effects on the QCD mass spectrum. With a numerical simulation, using different sea quarks boundary conditions, we show that we can align the spatial Polyakov loops in a predefined direction. Starting fr...
1994-05-12
2019-08-17
[ "hep-lat" ]
S.Antonelli, M.Bellacci, L.A.Fern\'andez, A.Mu\~noz-Sudupe, J.J.Ruiz-Lorenzo, R.Sarno, A.Taranc\'on and A.Bartoloni, C.Battista, N.Cabibbo, S.Cabasino, E.Panizzi, P.S.Paolucci, G.M.Todesco, M.Torelli, R.Tripiccione, P.Vicini
hep-lat/9405011
Fractal Wilson Loop - Area Law and Gauge Invariance in Next to Leading Order
We consider a fractal Wilson loop $<F_{P}>$ and present physical arguments why this should be a relevant observable in nature. We show for non-compact SU(2) lattice gauge theory in the next to leading order of strong coupling expansion that $<F_{P}>$ obeys an area law behavior and is gauge invariant.
1994-05-12
2009-09-25
[ "hep-lat" ]
D. Allouani and H. Kr\"oger
hep-lat/9405010
On the exponential bound in four dimensional simplicial gravity
Simplicial quantum gravity has been proposed as a regularization for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the 4-sphere. The model is well-defined only if the number of such triangulations consisting of $N$ simplexes is exponentia...
1994-05-11
2009-10-22
[ "hep-lat", "gr-qc", "hep-th" ]
J. Ambjorn and J. Jurkiewicz
hep-lat/9405009
Three-Dimensional Integrable Models and Associated Tangle Invariants
In this paper we show that the Boltzmann weights of the three-dimensional Baxter-Bazhanov model give representations of the braid group, if some suitable spectral limits are taken. In the trigonometric case we classify all possible spectral limits which produce braid group representations. Furthermore we prove that for...
1994-05-10
2009-10-22
[ "hep-lat" ]
B.L. Cerchiai, M. Martellini, F. Valz-Gris
hep-lat/9405008
The random lattice as a regularization scheme
A semi-analytic method to compute the first coefficients of the renormalization group functions on a random lattice is introduced. It is used to show that the two-dimensional $O(N)$ non-linear $\sigma$-model regularized on a random lattice has the correct continuum limit. A degree $\kappa$ of ``randomness'' in the latt...
1994-05-09
2009-10-22
[ "hep-lat" ]
B. Alles
hep-lat/9405006
Spatial and Temporal Hadron Correlators below and above the Chiral Phase Transition
Hadronic correlation functions at finite temperature in QCD, with four flavours of dynamical quarks, have been analyzed both above and below the chiral symmetry restoration temperature. We have used both point and extended sources for spatial as well as temporal correlators. The effect of periodic temporal boundary con...
1994-05-06
2009-10-22
[ "hep-lat" ]
G. Boyd, Sourendu Gupta, F. Karsch and E. Laermann
hep-lat/9405007
The Block Spin Renormalization Group Approach and Two-Dimensional Quantum Gravity
A block spin renormalization group approach is proposed for the dynamical triangulation formulation of two-dimensional quantum gravity. The idea is to update link flips on the block lattice in response to link flips on the original lattice. Just as the connectivity of the original lattice is meant to be a lattice repre...
1994-05-06
2011-09-09
[ "hep-lat" ]
Ray Renken
hep-lat/9405005
Localization in Lattice Gauge Theory and a New Multigrid Method
We show numerically that the lowest eigenmodes of the 2-dimensional Laplace-operator with SU(2) gauge couplings are strongly localized. A connection is drawn to the Anderson-Localization problem. A new Multigrid algorithm, capable to deal with these modes, shows no critical slowing down for this problem.
1994-05-05
2015-06-25
[ "hep-lat", "cond-mat" ]
Martin B\"aker
hep-lat/9405004
Axial symmetries in lattice QCD with Kaplan fermions
This paper develops in detail a lattice definition of QCD based on the chiral defect fermions recently introduced by Kaplan. The revised version provides missing technical details in the proof that non-singlet axial symmetries become exact in the limit of an infinite fifth dimension. Also several minor errors are corre...
1994-05-05
2009-10-22
[ "hep-lat" ]
Vadim Furman and Yigal Shamir