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hep-lat/9309009
Instantons from over-improved cooling
Lattice artefacts are used, through modified lattice actions, as a tool to find the largest instantons in a toroidal geometry [0,L]^3X[0,T] for T to infinity. It is conjectured that the largest instanton is associated with tunnelling through a sphaleron. Existence of instantons with at least 8 parameters can be proven ...
1993-09-16
2008-11-26
[ "hep-lat", "hep-th" ]
Margarita Garcia Perez, Antonio Gonzalez-Arroyo, Jeroen Snippe and Pierre van Baal
hep-lat/9309008
On the Measure of Simplicial Quantum Gravity in Four Dimensions
We study quantum gravity in the path-integral formulation using the Regge calculus. In spite of the unbounded gravitational action the existence of an entropy-dominated phase is confirmed. The influence of various types of measures on this phase structure is investigated and our results are compared with those obtained...
1993-09-15
2007-05-23
[ "hep-lat" ]
W. Beirl, H. Markum, J. Riedler
hep-lat/9309006
Static Friction Phenomena in Granular Materials: Coulomb Law vs. Particle Geometry
The static as well as the dynamic behaviour of granular material are determined by dynamic {\it and} static friction. There are well known methods to include static friction in molecular dynamics simulations using scarcely understood forces. We propose an Ansatz based on the geometrical shape of nonspherical particles ...
1993-09-14
2009-10-22
[ "hep-lat", "adap-org", "cond-mat", "nlin.AO" ]
T. Poeschel and V. Buchholtz
hep-lat/9309007
Glueball-Like Screening Masses in Pure SU(3) at Finite Temperatures
We investigate the finite-temperature excitation spectrum in the gluon sector of $SU(3)$ pure gauge theory through measurements of screening masses in correlations of loop operators. We develop the classification of such operators under the symmetry group of the `$z$-slice'. In the confined phase of the theory, we find...
1993-09-14
2009-10-22
[ "hep-lat", "hep-ph", "nucl-th" ]
B. Grossman, Sourendu Gupta, U.M. Heller and F.Karsch
hep-lat/9309005
A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
A non-perturbative finite-size scaling technique is used to study the evolution of the running coupling (in a certain adapted scheme) in the SU(3) Yang-Mills theory. At low energies contact is made with the fundamental dynamical scales, such as the string tension K, while at larger energies the coupling is shown to evo...
1993-09-13
2009-10-22
[ "hep-lat" ]
Martin Luescher, Rainer Sommer, Peter Weisz and Ulli Wolff
hep-lat/9309004
Critical Exponent for the Density of Percolating Flux
This paper is a study of some of the critical properties of a simple model for flux. The model is motivated by gauge theory and is equivalent to the Ising model in three dimensions. The phase with condensed flux is studied. This is the ordered phase of the Ising model and the high temperature, deconfined phase of the g...
1993-09-08
2011-04-20
[ "hep-lat", "cond-mat" ]
J. Kiskis
hep-lat/9309003
Interface Tension in Quenched QCD
We calculate the tension $\sigma$ of the interface between the confined and deconfined phases by the histogram method in SU(3) lattice gauge theory for temporal extents of 4 and 6 using the recent high-statistics data by QCDPAX collaboration. The results are $\sigma/T_c^3 = 0.0292(22)$ and 0.0218(33) for $N_t=4$ and 6,...
1993-09-07
2014-11-17
[ "hep-lat", "astro-ph" ]
Y. Iwasaki, K. Kanaya, Leo K\"arkk\"ainen, K. Rummukainen, and T. Yoshi\'e
hep-lat/9309002
The Light Hadron Spectrum and Decay Constants in Quenched Lattice QCD
We present results for light hadrons composed of both degenerate and non-degenerate quarks in quenched lattice QCD. We calculate masses and decay constants using 60 gauge configurations with an $O(a)$--improved fermion action at $\beta = 6.2$. Using the $\rho$ mass to set the scale, we find hadron masses within two to ...
1993-09-03
2012-08-27
[ "hep-lat" ]
UKQCD Collaboration
hep-lat/9309001
On a mean field approximation for Higgs-Yukawa systems
We discuss the phase structure of a lattice Higgs-Yukawa system in the variational mean field approximation with contributions of fermionic determinant being calculated in a ladder approximation. In particular, we demonstrate that in this approximation the ferrimagnetic phase in the $Z_2$ model with naive fermions can ...
1993-09-02
2009-10-22
[ "hep-lat" ]
Sergei V. Zenkin
hep-lat/9308020
Quenched Heavy-Light Decay Constants
We present results for heavy-light decay constants, using both propagating quarks and the static approximation, in O(a)-improved, quenched lattice QCD. At beta=6.2 on a 24^3x48 lattice we find f_D=185 +4-3(stat)+42-7(syst) MeV, f_B=160 +6-6 +53-19 MeV, f_{D_s}/f_D=1.18 +2-2 and f_{B_s}/f_B=1.22 +4-3, in good agreement ...
1993-08-31
2012-08-27
[ "hep-lat" ]
UKQCD Collaboration
hep-lat/9308022
A New visita to the SU(N) gauge field confinement
Based on our exact effective spin model, the zero temperature $SU(N)$ gauge field confinement has been studied by the deconfinement-confinement phase transition order parameter, i.e. the Wilson line, rather than the quark antiquark potential. The procedure would allow one to study the confinement in the true continuum ...
1993-08-31
2007-05-23
[ "hep-lat" ]
Z. K. Zhu and D. H. Feng
hep-lat/9308019
The Isgur-Wise Function from the Lattice
We calculate the Isgur-Wise function by measuring the elastic scattering amplitude of a $D$ meson in the quenched approximation on a $24^3\times48$ lattice at $\beta=6.2$, using an $O(a)$-improved fermion action. Fitting the resulting chirally-extrapolated Isgur-Wise function to Stech's relativistic-oscillator parametr...
1993-08-31
2012-08-27
[ "hep-lat", "hep-ph" ]
the UKQCD Collaboration
hep-lat/9308021
Large Loops of Magnetic Current and Confinement in Four Dimensional $U(1)$ Lattice Gauge Theory
We calculate the heavy quark potential from the magnetic current due to monopoles in four dimensional $U(1)$ lattice gauge theory. The magnetic current is found from link angle configurations using the DeGrand-Toussaint identification method. The link angle configurations are generated in a cosine action simulation on ...
1993-08-31
2010-11-01
[ "hep-lat" ]
J.D. Stack and R.J. Wensley
hep-lat/9308023
Determining the order of SU(3) deconfining phase transition
An effective spin model for the finite temperature non-abelian lattice gauge theory is derived. The outcome is the surprising result that only nearest neighbor coupling survives, thus confirming the well known numerical results that the deconfining phase transition of the (3+1)-dimensional $SU(3)$ pure gauge theory is ...
1993-08-31
2007-05-23
[ "hep-lat" ]
Z. K. Zhu and D. H Feng
hep-lat/9308018
Bit Level Correlations in Some Pseudorandom Number Generators
We present results of extensive bit level tests on some pseudorandom number generators which are commonly used in physics applications. The generators have first been tested with an extended version of the $d$-tuple test. Second, we have developed a novel {\it cluster test} where a physical analogy of the binary number...
1993-08-31
2009-10-22
[ "hep-lat" ]
K. Kankaala, T. Ala-Nissila, and I. Vattulainen
hep-lat/9308017
Dgsos on DTRS
We perform simulations of a discrete gaussian solid on solid (DGSOS) model on dynamical $\phi^3$ graphs, which is equivalent to coupling the model to 2d quantum gravity, using the cluster algorithms recently developed by Evertz et.al.for use on fixed lattices. We find evidence from the growth of the width-squared in th...
1993-08-27
2015-06-25
[ "hep-lat" ]
C.F. Baillie, W. Janke and D.A. Johnston
hep-lat/9308015
Stochastic Estimation with $Z_2$ Noise
We introduce a $Z_2$ noise for the stochastic estimation of matrix inversion and discuss its superiority over other noises including the Gaussian noise. This algorithm is applied to the calculation of quark loops in lattice quantum chromodynamics that involves diagonal and off-diagonal traces of the inverse matrix. We ...
1993-08-25
2009-10-22
[ "hep-lat" ]
S.J. Dong and K.F. Liu
hep-lat/9308016
Manifestly Gauge Invariant Models of Chiral Lattice Fermions
A manifestly gauge invariant lattice action for nonanomalous chiral models is proposed which leads in the continuum limit to the theory free of doublers.
1993-08-25
2009-10-22
[ "hep-lat" ]
A.A. Slavnov
hep-lat/9308014
The Static Quark-Antiquark Potential: A ``Classical'' Experiment On The Connection Machine CM-2
We describe the Wuppertal university pilot project in applied parallel computing. We report on a comprehensive high statistics determination of the static quark-antiquark potential and related quantities from quenched quantum chromodynamics. New data for the string tension and the plaquette action for the region 5.5 < ...
1993-08-24
2011-04-15
[ "hep-lat" ]
K. Schilling, G.S. Bali
hep-lat/9308013
Fresh look on triality
Investigating the $Z_3$ symmetry in Quantum Chromodynamics (QCD) we show that full QCD with a vacuum of vanishing baryonic number does not lead to metastable phases. Rather in QCD with dynamical fermions, the degeneracy of $Z_3$ phases manifests itself in observables without open triality.
1993-08-13
2007-05-23
[ "hep-lat" ]
M. Faber, O. Borisenko, S. Mashkevich and G. Zinovjev
hep-lat/9308012
Test of the Skyrme Effective Field Theory Using Quenched Lattice QCD
The Skyrme effective field theory is tested by evaluating nucleon ground state matrix elements of the correlation functions for two flavor density operators and two pseudoscalar density operators in the Skyrme model and comparing them with results in quenched lattice QCD. The possiblility of using quenched lattice QCD ...
1993-08-11
2008-11-26
[ "hep-lat" ]
M.--C. Chu, Marcello Lissia, and J. W. Negele
hep-lat/9308010
Glueball Mass Predictions of the Valence Approximation to Lattice QCD
We evaluate the infinite volume, continuum limit of glueball masses in the valence (quenched) approximation to lattice QCD. For the lightest states with $J^{PC}$ of $0^{++}$ and $2^{++}$, we obtain $m_0 = 1340 \pm 160$ MeV and $m_2 = 1900 \pm 320$ MeV.
1993-08-11
2007-05-23
[ "hep-lat", "hep-ph" ]
H. Chen, J. Sexton, A. Vaccarino, and D. Weingarten
hep-lat/9308011
Chiral Fermions on the Lattice
An expression for the lattice effective action induced by chiral fermions in any even dimensions in terms of an overlap of two states is shown to have promising properties in two dimensions: The correct abelian anomaly is reproduced and instantons are suppressed.
1993-08-11
2009-10-22
[ "hep-lat", "hep-th" ]
Rajamani Narayanan and Herbert Neuberger
hep-lat/9308009
Non-gauge fixing approach to chiral gauge theories using staggered fermions
We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. Motivated by previous results in the non-gauge invariant massive Yang-Mills theory and cer...
1993-08-10
2009-10-22
[ "hep-lat", "hep-th" ]
Wolfgang Bock, Jan Smit and Jeroen C. Vink
hep-lat/9308008
Perturbative renormalization factors for bilinear and four-quark operators for Kogut-Susskind fermions on the lattice
Renormalization factors for bilinear and four-quark operators with the Kogut-Susskind fermion action are perturbatively calculated to one-loop order in the general covariant gauge. Results are presented both for gauge invariant and non-invariant operators. For four-quark operators the full renormalization matrix for a ...
1993-08-10
2009-10-22
[ "hep-lat" ]
N. Ishizuka and Y. Shizawa
hep-lat/9308007
Semi-leptonic Decays of Heavy Flavours on a Fine Grained Lattice
We present the results of a numerical calculation of semi-leptonic form factors relevant for heavy flavour meson decays into light mesons, at $\beta=6.4$ on a $24^3 \times 60$ lattice, using the Wilson action in the quenched approximation. We obtain $f^+_K(0)=0.65\pm 0.18$, $V(0)=0.95\pm 0.34$, $A_1(0)=0.63\pm 0.14 $ a...
1993-08-09
2019-08-17
[ "hep-lat", "hep-ph" ]
As.Abada, C.R. Allton, Ph.Boucaud, D.B.Carpenter, M.Crisafulli, S.G\"usken, P.Hernandez, V.Lubicz, G.Martinelli, O.P\`ene, C.T.Sachrajda, K.Schilling, G.Siegert, R.Sommer
hep-lat/9308006
Lattice Perturbation Theory by Langevin Dynamics
We present an application of the standard Langevin dynamics to the problem of weak coupling perturbative expansions for Lattice QCD. This method can be applied to the computation of the most general observables. In this preliminary work we will concentrate in particular on the computation of the perturbative terms of t...
1993-08-07
2009-09-25
[ "hep-lat" ]
Francesco Di Renzo, Giuseppe Marchesini, Paolo Marenzoni and Enrico Onofri (Dipartimento di Fisica, Universita` di Parma)
hep-lat/9308005
On the Transition from Crystalline to Dynamically Triangulated Surfaces
We consider methods of interpolating between the crystalline and dynamically triangulated random surface models. We argue that actions based on the deviation from six of the coordination number at a site are inadequate and propose an alternative based on Alexander moves. Two simplified models, one of which has a phase ...
1993-08-06
2009-10-22
[ "hep-lat" ]
Neil Ferguson and J.F.Wheater
hep-lat/9308004
Perfect lattice action for asymptotically free theories
There exist lattice actions which give cut--off independent physical predictions even on coarse grained lattices. Rotation symmetry is restored, the spectrum becomes exact and, in addition, the classical equations have scale invariant instanton solutions. This perfect action can be made short ranged. It can be determin...
1993-08-05
2008-11-26
[ "hep-lat" ]
P. Hasenfratz and F. Niedermayer
hep-lat/9308002
Calculations of hadronic matrix elements using lattice qcd
I give a brief introduction to the scope of lattice QCD calculations in our effort to extract the fundamental parameters of the standard model. This goal is illustrated by two examples. First I discuss the extraction of CKM matrix elements from measurements of form factors for semi-leptonic decays of heavy-light pseudo...
1993-08-03
2007-05-23
[ "hep-lat" ]
Rajan Gupta
hep-lat/9308003
Computation of the Spatial String Tension in High Temperature SU(2) Gauge Theory
A detailed investigation of the temperature dependence of the spatial string tension $\sigma_s$ in $SU(2)$ gauge theory is presented. A sustained performance of 3~GFLOPS on a 64K Connection Machine CM-2 equivalent has been achieved. Scaling of $\sigma_s$ between $\beta=2.5115$ and $\beta=2.74$, on large lattices, is de...
1993-08-03
2010-11-01
[ "hep-lat" ]
G.S. Bali, J. Fingberg, U.M. Heller, F. Karsch, K. Schilling
hep-lat/9308001
Lyapunov Spectra in SU(2) Lattice Gauge Theory
We develop a method for calculating the Lyapunov characteristic exponents of lattice gauge theories. The complete Lyapunov spectrum of SU(2) gauge theory is obtained and Kolmogorov-Sinai entropy is calculated. Rapid convergence with lattice size is found.
1993-08-02
2009-10-22
[ "hep-lat" ]
C. Gong
hep-lat/9307022
New Universality Classes for Two-Dimensional $\sigma$-Models
We argue that the two-dimensional $O(N)$-invariant lattice $\sigma$-model with mixed isovector/isotensor action has a one-parameter family of nontrivial continuum limits, only one of which is the continuum $\sigma$-model constructed by conventional perturbation theory. We test the proposed scenario with a high-precisio...
1993-07-31
2009-10-22
[ "hep-lat" ]
Sergio Caracciolo, Robert G. Edwards, Andrea Pelissetto and Alan D. Sokal
hep-lat/9307020
Some Comments on Multigrid Methods for Computing Propagators
I make three conceptual points regarding multigrid methods for computing propagators in lattice gauge theory: 1) The class of operators handled by the algorithm must be stable under coarsening. 2) Problems related by symmetry should have solution methods related by symmetry. 3) It is crucial to distinguish the vector s...
1993-07-28
2010-11-01
[ "hep-lat" ]
Alan D. Sokal
hep-lat/9307021
A General Limitation on Monte Carlo Algorithms of Metropolis Type
We prove that for any Monte Carlo algorithm of Metropolis type, the autocorrelation time of a suitable ``energy''-like observable is bounded below by a multiple of the corresponding ``specific heat''. This bound does not depend on whether the proposed moves are local or non-local; it depends only on the distance betwee...
1993-07-28
2010-11-11
[ "hep-lat" ]
Sergio Caracciolo, Andrea Pelissetto and Alan D. Sokal
hep-lat/9307019
Towards an Abelian Formulation of Lattice QCD Confinement
We probe for operators occurring in the APQCD(``abelian-projected QCD'') action by evaluating abelian-projected $1$-plaquette spectral densities in pure gauge $SU(3)$ fixed to maximal abelian gauge. Couplings $B_{APQCD}(q,L)$ are extracted from the spectral densities for each representation $q$, $L\times L$ plaquette. ...
1993-07-27
2009-10-22
[ "hep-lat", "hep-ph" ]
Ken Yee, Lsu
hep-lat/9307018
"The Ising model on spherical lattices: dimer versus Monte Carlo approach"
We study, using dimer and Monte Carlo approaches, the critical properties and finite size effects of the Ising model on honeycomb lattices folded on the tetrahedron. We show that the main critical exponents are not affected by the presence of conical singularities. The finite size scaling of the position of the maxima ...
1993-07-27
2009-10-22
[ "hep-lat", "hep-th" ]
O. Diego, J. Gonzalez and J. Salas
hep-lat/9307017
A Determination of Interface Free Energies
We determine the interface free energy $F_{o.d.}$ between disordered and ordered phases in the q=10 and q=20 2-d Potts models using the results of multicanonical Monte Carlo simulations on $L^2$ lattices, and suitable finite volume estimators. Our results, when extrapolated to the infinite volume limit, agree to high p...
1993-07-26
2009-10-22
[ "hep-lat", "cond-mat" ]
A. Billoire, T. Neuhaus and B. Berg
hep-lat/9307016
On Spin and Matrix Models in the Complex Plane
We describe various aspects of statistical mechanics defined in the complex temperature or coupling-constant plane. Using exactly solvable models, we analyse such aspects as renormalization group flows in the complex plane, the distribution of partition function zeros, and the question of new coupling-constant symmetri...
1993-07-22
2009-10-22
[ "hep-lat", "cond-mat", "hep-th" ]
Poul H. Damgaard and Urs M. Heller
hep-lat/9307015
Finite size scaling analysis of intermittency moments in the two dimensional Ising model
Finite size scaling is shown to work very well for the block variables used in intermittency studies on a 2-d Ising lattice. The intermittency exponents so derived exhibit the expected relations to the magnetic critical exponent of the model. Email contact: pesch@amoco.saclay.cea.fr
1993-07-16
2008-11-26
[ "hep-lat" ]
Z. Burda, K. Zalewski, R. Peschanski, J. Wosiek
hep-lat/9307014
Two dimensional SU(N) x SU(N) chiral models on the lattice
Lattice $SU(N)\times SU(N)$ chiral models are analyzed by strong and weak coupling expansions and by numerical simulations. $12^{th}$ order strong coupling series for the free and internal energy are obtained for all $N\geq 6$. Three loop contributions to the internal energy and to the lattice $\beta$-function are eval...
1993-07-15
2010-12-21
[ "hep-lat" ]
Paolo Rossi and Ettore Vicari
hep-lat/9307013
Semi-Analytical Solution of the $\phi^4$ Theory on an $F_4$ Lattice
Investigating the cutoff dependence of the Higgs mass triviality bound, the $\phi^4$ theory is formulated on an $F_4$ lattice which preserves Lorentz invariance to a higher degree than the commonly used hypercubic lattice. I solve this model non-perturbatively by evaluating the high temperature expansion through 13th o...
1993-07-14
2009-10-22
[ "hep-lat", "hep-ph" ]
M. Klomfass
hep-lat/9307012
Adjoint Wilson Line in SU(2) Lattice Gauge Theory
The behavior of the adjoint Wilson line in finite-temperature, $SU(2)$, lattice gauge theory is discussed. The expectation value of the line and the associated excess free energy reveal the response of the finite-temperature gauge field to the presence of an adjoint source. The value of the adjoint line at the critical...
1993-07-13
2009-10-22
[ "hep-lat" ]
J. Kiskis and P. Vranas
hep-lat/9307011
Fermionic Field Theory and Gauge Interactions on Random Lattices
Random-lattice fermions have been shown to be free of the doubling problem if there are no interactions or interactions of a non-gauge nature. However, gauge interactions impose stringent constraints as expressed by the Ward-Takahashi identities which could revive the free-field suppressed doubler modes in loop diagram...
1993-07-13
2014-11-17
[ "hep-lat", "hep-th" ]
C. J. Griffin and T. D. Kieu
hep-lat/9307010
Dirac sheets and gauge fixing in $U(1)$ lattice gauge theory
Photon correlators in $~U(1)~$ pure gauge theory for different lattice actions are considered under the Lorentz gauge condition. They are shown to depend strongly on the gauge fixing ambiguity and on the corresponding existence of Dirac sheets. For the Coulomb phase a gauge fixing algorithm is proposed which avoids Dir...
1993-07-09
2009-10-22
[ "hep-lat" ]
V.G. Bornyakov, V.K. Mitrjushkin, M. M\"uller-Preussker and F. Pahl
hep-lat/9307009
Quenched Light Hadron Mass Spectrum and Decay Constants: the effects of $O(a)$-Improvement at $\beta=6.2$
We compare the light hadron spectrum and decay constants for quenched QCD at $\beta=6.2$ using an $O(a)$-improved nearest-neighbour Wilson fermion action with those obtained using the standard Wilson fermion action on the same set of 18 gauge configurations. For pseudoscalar meson masses in the range 330--800~MeV, we f...
1993-07-09
2012-08-27
[ "hep-lat" ]
UKQCD Collaboration
hep-lat/9307008
The Kramers equation simulation algorithm II. An application to the Gross-Neveu model
We continue the investigation on the applications of the Kramers equation to the numerical simulation of field theoretic models. In a previous paper we have described the theory and proposed various algorithms. Here, we compare the simplest of them with the Hybrid Monte Carlo algorithm studying the two-dimensional latt...
1993-07-08
2009-10-22
[ "hep-lat" ]
Matteo Beccaria, Giuseppe Curci, Luca Galli
hep-lat/9307007
The Kramers equation simulation algorithm I. Operator analysis
Using an operatorial formalism, we study the Kramers equation and its applications to numerical simulations. We obtain classes of algorithms which may be made precise at every desired order in the time step $\epsilon$ and with a set of free parameters which can be used to reduce autocorrelations. We show that it is pos...
1993-07-08
2009-10-22
[ "hep-lat" ]
Matteo Beccaria, Giuseppe Curci
hep-lat/9307004
Scaling Study of Pure Gauge Lattice QCD by Monte Carlo Renormalization Group Method
The scaling behavior of pure gauge SU(3) in the region $\beta=5.85 - 7.60$ is examined by a Monte Carlo Renormalization Group analysis. The coupling shifts induced by factor 2 blocking are measured both on 32$^4$ and 16$^4$ lattices with high statistics. A systematic deviation from naive 2-loop scaling is clearly seen....
1993-07-07
2011-07-19
[ "hep-lat" ]
K. Akemi, Ph. deForcrand, M. Fujisaki, T. Hashimoto, H.C. Hege, S. Hioki, O. Miyamura, A. Nakamura, M. Okuda I.O. Stamatescu, Y. Tago and T. Takaishi
hep-lat/9307006
Chiral Determinant as an Overlap of Two Vacua
The effective action induced by chiral fermions can be written, formally, as an overlap of two states. These states are the Fock ground states of Hamiltonians for fermions in even dimensional space with opposite sign mass terms coupled to identical static vector potentials. A perturbative analysis of the overlap in the...
1993-07-07
2009-10-22
[ "hep-lat", "hep-ph", "hep-th" ]
Rajamani Narayanan and Herbert Neuberger
hep-lat/9307005
A Lattice Calculation of the Isgur-Wise Function
We calculate the Isgur-Wise function ($\xi_0$) by measuring the heavy-heavy meson transition matrix element on the lattice in the quenched approximation. The standard Wilson action is used for both the heavy and the light quarks. Our numerical results are compared with various model calculations and experimental data. ...
1993-07-07
2009-10-22
[ "hep-lat", "hep-ph" ]
C. Bernard, Y. Shen and A. Soni
hep-lat/9307003
Finite-Size Scaling in the $O(N)$ $\phi^4_4$ Model
Perturbation theory and renormalization group methods are used to derive a finite-size scaling theory for the partition function zeroes and thermodynamic functions in the $O(n)$ $\phi^4$ model in four dimensions. The leading power--law scaling behaviour is the same as that of the mean field theory. There exist, however...
1993-07-05
2007-05-23
[ "hep-lat" ]
R. Kenna
hep-lat/9307002
On the absence of chiral fermions in interacting lattice theories
We consider interacting theories with a compact internal symmetry group on a regular lattice. We show that the spectrum is necessarily vector-like provided the following conditions are satisfied: (a)~weak form of locality, (b)~relativistic continuum limit without massless bosons, and (c)~pole-free effective vertex func...
1993-07-04
2009-10-22
[ "hep-lat", "hep-ph" ]
Yigal Shamir
hep-lat/9307001
A Lattice Study of the Gluon Propagator in Momentum Space
We consider pure glue QCD at beta=5.7, beta=6.0 and beta=6.3. We evaluate the gluon propagator both in time at zero 3-momentum and in momentum space. From the former quantity we obtain evidence for a dynamically generated effective mass, which at beta=6.0 and beta=6.3 increases with the time separation of the sources, ...
1993-07-02
2009-10-22
[ "hep-lat" ]
C. Bernard, C. Parrinello and A. Soni
hep-lat/9306024
The Spatial String Tension in the Deconfined Phase of the (3+1)-Dimensional SU(2) Gauge Theory
We present results of a detailed investigation of the temperature dependence of the spatial string tension in SU(2) gauge theory. We show, for the first time, that the spatial string tension is scaling on the lattice and thus is non-vanishing in the continuum limit. It is temperature independent below Tc and rises rapi...
1993-06-29
2009-07-09
[ "hep-lat" ]
G.S.Bali, J.Fingberg, U.M.Heller, F.Karsch and K.Schilling
hep-lat/9306023
Constraints on the Existence of Chiral Fermions in Interacting Lattice Theories
It is shown that an interacting theory, defined on a regular lattice, must have a vector-like spectrum if the following conditions are satisfied: (a)~locality, (b)~relativistic continuum limit without massless bosons, and (c)~pole-free effective vertex functions for conserved currents. The proof exploits the zero fre...
1993-06-29
2011-04-20
[ "hep-lat", "hep-th" ]
Yigal Shamir
hep-lat/9306022
Cluster dynamics for first-order phase transitions in the Potts model
An algorithm for Monte Carlo simulations is proposed in which the parameter controlling the strength of the transition becomes a dynamical variable and in which efficient transitions are achieved by cluster steps. It allows to avoid the strongly suppressed tunneling between the phases by travelling easily via the secon...
1993-06-26
2009-10-22
[ "hep-lat" ]
W. Kerler and A. Weber
hep-lat/9306021
Spectral properties and lattice-size dependences in cluster algorithms
Simulation results of Ising systems for several update rules, observables, and dimensions are analyzed. The lattice-size dependence is discussed for the autocorrelation times and for the weights of eigenvalues, giving fit results in the case of power laws. Implications of spectral properties are pointed out and the beh...
1993-06-26
2009-10-22
[ "hep-lat" ]
W. Kerler
hep-lat/9306020
Monte Carlo Study of Topological Defects in the 3D Heisenberg Model
We use single-cluster Monte Carlo simulations to study the role of topological defects in the three-dimensional classical Heisenberg model on simple cubic lattices of size up to $80^3$. By applying reweighting techniques to time series generated in the vicinity of the approximate infinite volume transition point $K_c$,...
1993-06-24
2009-10-22
[ "hep-lat" ]
Christian Holm and Wolfhard Janke
hep-lat/9306019
Thermal Fluctuations of Chern-Simons Numbers in the Lattice SU(2) Higgs Model
We study the temperature dependence of the Chern-Simons number fluctuations in the SU(2) Higgs Model on Euclidean lattices with spatial sizes up to 20^3. Temperatures well above the Higgs phase transition $T_H$ are achieved on anisotropic lattices. Numerical results are compared to perturbative results on finite lattic...
1993-06-23
2008-12-18
[ "hep-lat" ]
F. Karsch, M.L. Laursen, T. Neuhaus and B. Plache
hep-lat/9306018
A Comperative Study of Gauge Fixing Procedures on the Connection Machines CM2 and CM5
Gauge fixing is a frequent task encountered in practical lattice gauge theory calculations. We review the performance characteristics of some standard gauging procedures for non-abelian gauge theories, implemented on the parallel machines CM2 and CM5.
1993-06-22
2007-05-23
[ "hep-lat" ]
H. Suman and K. Schilling
hep-lat/9306017
Chiral Defect Fermions and the Layered Phase
Chiral defect fermions on the lattice in 4+1 dimensions are analyzed using mean field theory. The fermion propagator has a localized chiral mode in weak coupling but loses it when the coupling in the unphysical fifth direction becomes too large. A layered phase \`a la Fu-Nielsen appears where the theory is vector-like ...
1993-06-21
2009-10-22
[ "hep-lat", "hep-ph", "hep-th" ]
C.P. Korthals-Altes, S. Nicolis and J. Prades
hep-lat/9306016
Can a Logarithmically Running Coupling Mimic a String Tension?
It is shown that a Coulomb potential using a running coupling slightly modified from the perturbative form can produce an interquark potential that appears nearly linear over a large distance range. Recent high-statistics SU(2) lattice gauge theory data fit well to this potential without the need for a linear string-te...
1993-06-18
2009-10-22
[ "hep-lat", "hep-ph" ]
M. Grady
hep-lat/9306014
Properties of the Abelian Projection Fields in $SU(N)$ Lattice Gluodynamics
't~Hooft's abelian projection of $SU(N)$ gauge theory yields $N$ mutually constrained, compact abelian fields which are permutationally equivalent. We formulate the notion of ``species permutation'' symmetry of the $N$ abelian projection fields and discuss its consequences for cross-species correlators. We show that at...
1993-06-17
2016-08-31
[ "hep-lat", "hep-ph", "nucl-th" ]
M. I. Polikarpov(ITEP,Moscow) and Ken Yee(LSU)
hep-lat/9306015
Spacelike Wilson Loops at Finite Temperature
In the high temperature phase of Yang-Mills theories, large spatial Wilson loops show area law behaviour with a string tension that grows with increasing temperature. Within the framework of the commonly used string picture we use a large scale expansion, which allows us to determine the string tension from measurement...
1993-06-17
2008-11-26
[ "hep-lat" ]
L. Karkkainen, P. Lacock, D.E. Miller, B. Petersson and T. Reisz
hep-lat/9306013
Measure of Autocorrelation Times of Local Hybrid Monte Carlo Algorithm for Lattice QCD
We report on a study of the autocorrelation times of the local version of the Hybrid Monte Carlo (LHMC) algorithm for pure gauge $SU(3)$. We compare LHMC to standard multi-hit Metropolis and to the global version of the same HMC. For every algorithm we measure the autocorrelation time for a variety of observables and t...
1993-06-16
2009-10-22
[ "hep-lat" ]
P.Marenzoni, L.Pugnetti and P.Rossi
hep-lat/9306012
Staggered fermions for chiral gauge theories: Test on a two-dimensional axial-vector model
As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is restored in the classical continuum limit. We find that the continuum divergence...
1993-06-16
2009-10-22
[ "hep-lat", "hep-ph" ]
Wolfgang Bock, Jan Smit and Jeroen C. Vink
hep-lat/9306011
Scaling, asymptotic scaling and Symanzik improvement. Deconfinement temperature in SU(2) pure gauge theory
We report on a high statistics simulation of SU(2) pure gauge field theory at finite temperature, using Symanzik action. We determine the critical coupling for the deconfinement phase transition on lattices up to 8 x 24, using Finite Size Scaling techniques. We find that the pattern of asymptotic scaling violation is e...
1993-06-16
2009-10-22
[ "hep-lat" ]
Giancarlo cella, Giuseppe Curci, Raffaele Tripiccione and Andrea Vicere'
hep-lat/9306010
Gribov Copies in Lattice QCD
We have performed an exhaustive search for Gribov copies on the lattice and their possible dependence from finite temperature effects. We show that, for each value of lattice size, Gribov copies are dense in configuration space at low temperature but their density tend to lower when the temperature increases. We have i...
1993-06-15
2009-10-22
[ "hep-lat" ]
P.Marenzoni and P.Rossi
hep-lat/9306009
A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
A lattice calculation of the pseudoscalar decay constant of heavy-light mesons is reported. Results are obtained (in the quenched approximation) from lattices at $\beta=6.3$ through a procedure that interpolates between the static approximation of Eichten and the conventional ("heavy" Wilson fermion) method. The previo...
1993-06-12
2009-10-22
[ "hep-lat", "hep-ph" ]
Claude Bernard, James Labrenz and Amarjit Soni
hep-lat/9306007
Comment on ``Savvidy Ferromagnetic Vacuum in Three-Dimensional Latice Gauge Theory''
We analyze SU(2) gauge theory in a constant chromomagnetic field in three dimensions. Our analysis instead of supporting the existence of a non-trivial minimum in the effective potential, corroborates the evidence of the unstable modes on the lattice.
1993-06-08
2007-05-23
[ "hep-lat", "hep-th" ]
P. Cea and L. Cosmai
hep-lat/9306008
Influence of Implementation on the Properties of Pseudorandom Number Generators with a Carry Bit
We present results of extensive statistical and bit level tests on three implementations of a pseudorandom number generator algorithm using the lagged Fibonacci method with an occasional addition of an extra bit. First implementation is the RCARRY generator of James, which uses subtraction. The second is a modified ver...
1993-06-08
2008-02-03
[ "hep-lat", "cond-mat" ]
I. Vattulainen, K. Kankaala, J. Saarinen, T. Ala-Nissila
hep-lat/9306006
Phase Structure of SU(2) Lattice Gauge Theory with Quantum Gravity
We investigate 4$d$ SU(2) lattice gauge theory with Regge--Einstein quantum gravity on a dynamically coupled Regge skeleton. To overview the phase diagram we perform simulations on a small $2\cdot 4^3$ system. Evidence for an entropy--dominated disordered, an entropy--dominated ordered and an ill--defined region is pre...
1993-06-07
2009-10-22
[ "hep-lat" ]
Bernd A. Berg and Balasubramanian Krishnan
hep-lat/9306005
Partially Quenched Gauge Theories and a Application to Staggered Fermions
We extend our lagrangian technique for chiral perturbation theory for quenched QCD to include theories in which only some of the quarks are quenched. We discuss the relationship between the partially quenched theory and a theory in which only the unquenched quarks are present. We also investigate the peculiar infrared ...
1993-06-04
2016-08-31
[ "hep-lat", "hep-ph" ]
Claude Bernard and Maarten Golterman
hep-lat/9306003
Fixed Point Actions for Wilson Fermions
Iterating renormalization group transformations for lattice fermions the Wilson action is driven to fixed points of the renormalization group. A line of fixed points is found and the fixed point actions are computed analytically. They are local and may be used to improve scaling in lattice QCD. The action at the line's...
1993-06-03
2009-10-22
[ "hep-lat" ]
U.-J. Wiese, HLRZ Juelich
hep-lat/9306004
Elastic anomaly of heavy fermion systems in a crystalline field
An elastic anomaly, observed in the heavy fermi liquid state of Ce alloys (for example, CeCu$_6$ and CeTe), is analyzed by using the infinite-$U$ Anderson lattice model. The four atomic energy levels are assumed for f-electrons. Two of them are mutually degenerate. A small crystalline splitting $2\Delta$ is assumed bet...
1993-06-03
2007-05-23
[ "hep-lat" ]
Kikuo Harigaya and G. A. Gehring (Department of Physics, University of Sheffield, Sheffield, United Kingdom)
hep-lat/9306001
The Three-Loop Lattice Free Energy
We calculate the free energy of SU(N) gauge theories on the lattice, to three loops. Our result, combined with Monte Carlo data for the average plaquette, gives a more precise estimate of the gluonic condensate.
1993-06-01
2009-10-22
[ "hep-lat" ]
B. Alles, M. Campostrini, A. Feo, and H. Panagopoulos
hep-lat/9306002
Correlation Functions of Hadron Currents in the QCD Vacuum Calculated in Lattice QCD
Point-to-point vacuum correlation functions for spatially separated hadron currents are calculated in quenched lattice QCD on a $16^3\times 24$ lattice with $6/g^2=5.7$. The lattice data are analyzed in terms of dispersion relations, which enable us to extract physical information from small distances where asymptotic ...
1993-06-01
2008-11-26
[ "hep-lat" ]
M.-C. Chu, J. M. Grandy, S. Huang, and J. W. Negele
hep-lat/9305026
3 Into 2 Doesn't Go: (almost) chiral gauge theory on the lattice
Kaplan recently proposed a novel lattice chiral gauge theory in which the bare theory is defined on $(2n+1)$-dimensions, but the continuum theory emerges in $2n$-dimensions. We explore whether the resulting theory reproduces all the features of continuum chiral gauge theory in the case of two-dimensional axial Schwinge...
1993-05-29
2016-08-31
[ "hep-lat" ]
Jacques Distler and Soo-Jong Rey
hep-lat/9305021
Exact renormalization-group analysis of first order phase transitions in clock models
We analyze the exact behavior of the renormalization group flow in one-dimensional clock-models which undergo first order phase transitions by the presence of complex interactions. The flow, defined by decimation, is shown to be single-valued and continuous throughout its domain of definition, which contains the transi...
1993-05-27
2009-10-22
[ "hep-lat", "hep-th" ]
M. Asorey, J.G. Esteve and J. Salas
hep-lat/9305022
Finite Size Analysis of the One-dimensional $q = \infty$ Clock Model
We analyze the finite size scaling of the $q$-state clock model in the $q \rightarrow \infty$ limit. The behaviors of the specific heat, Binder-Landau and U4 cumulants agree with the Borgs-Koteck\'y ans\"atz for first order phase transitions. However, we find that the leading correction to the position of the extremal ...
1993-05-27
2009-10-22
[ "hep-lat", "hep-th" ]
M. Asorey, J.G. Esteve and J. Salas
hep-lat/9305023
Finite-size and quark mass effects on the QCD spectrum with two flavors
We have carried out spectrum calculations with two flavors of dynamical Kogut-Susskind quarks on four lattice sizes from $8^3\times 24$ to $16^3\times24$ at couplings that correspond to chiral symmetry restoration for a lattice with 6 time slices. We estimate that the linear spatial sizes of the lattices range from 1.8...
1993-05-27
2008-11-26
[ "hep-lat" ]
C. Bernard, T. Blum, T. DeGrand, C. Detar, S. Gottlieb, A. Krasnitz, R. Sugar, D. Toussaint (The MILC Collaboration)
hep-lat/9305024
Variational Approach to Real-Time Evolution of Yang-Mills Gauge Fields on a Lattice
Applying a variational method to a Gaussian wave ansatz, we have derived a set of semi-classical evolution equations for SU(2) lattice gauge fields, which take the classical form in the limit of a vanishing width of the Gaussian wave packet. These equations are used to study the quantum effects on the classical evoluti...
1993-05-27
2009-09-25
[ "hep-lat", "nucl-th" ]
C. Gong, B. Mueller, and T.S. Biro
hep-lat/9305025
Nucleon Axial Form Factor from Lattice QCD
Results for the isovector axial form factors of the proton from a lattice QCD calculation are presented for both point-split and local currents. They are obtained on a quenched $16^{3} \times 24$ lattice at $\beta= 6.0$ with Wilson fermions for a range of quark masses from strange to charm. We determine the finite latt...
1993-05-27
2009-09-25
[ "hep-lat", "hep-ph" ]
K.F. Liu, S.J. Dong, T. Draper, J.M. Wu, and W. Wilcox
hep-lat/9305020
Canonical Quantization of Two Dimensional Gauge Fields
$SU(N)$ gauge fields on a cylindrical spacetime are canonically quantized via two routes revealing almost equivalent but different quantizations. After removing all continuous gauge degrees of freedom, the canonical coordinate $A_\mu$ (in the Cartan subalgebra $\h$) is quantized. The compact route, as in lattice gauge ...
1993-05-26
2015-06-25
[ "hep-lat", "hep-th" ]
James E. Hetrick
hep-lat/9305019
Compact QED in Landau Gauge: a lattice gauge fixing case study
We derive different representations of compact QED fixed to Landau gauge by the lattice Faddeev-Popov procedure. Our analysis finds that (A)Nielsen-Olesen vortices arising from the compactness of the gauge-fixing action are {\it quenched\/}, that is, the Faddeev-Popov determinant cancels them out and they do not influe...
1993-05-24
2010-05-27
[ "hep-lat", "cond-mat", "nucl-th" ]
M.I. Polikarpov(ITEP,Moscow), Ken Yee(LSU), M.A. Zubkov(ITEP)
hep-lat/9305018
Exploring confinement by cooling: A study of compact QED$_3$
The role of monopoles in the confining behavior of compact lattice $QED_3$ is studied using an adiabatic cooling method. Monopole-antimonopole pairs with large separation suvive cooling and the presence or absence of such plasma monopoles provides a useful classification of the lattice gauge field configurations at lar...
1993-05-21
2009-10-22
[ "hep-lat" ]
Howard D. Trottier and R. M. Woloshyn
hep-lat/9305015
Phase Transitions in Two-Dimensional Traffic Flow Models
We introduce two simple two-dimensional lattice models to study traffic flow in cities. We have found that a few basic elements give rise to the characteristic phase diagram of a first-order phase transition from a freely moving phase to a jammed state, with a critical point. The jammed phase presents new transitions c...
1993-05-20
2016-08-14
[ "hep-lat", "cond-mat" ]
Jos\'e A. Cuesta, Froil\'an C. Mart\'inez, Juan M. Molera, and Angel S\'anchez Escuela (Polit\'ecnica Superior Universidad Carlos III de Madrid, Avda. Mediterr\'aneo 20, E-28913 Legan\'es, Madrid, Spain)
hep-lat/9305017
Fermionic effective action and the pahse estructure of non compact quantum electrodynamics in 2+1 dimensions
We study the phase diagram of non compact $QED_3$ using the microcanonical fermionic average method described elsewhere. We present evidence for a continuous phase transition line in the $\beta, N$ plane, extending down to arbitrarily small flavour number $N$.
1993-05-20
2009-10-22
[ "hep-lat" ]
V. Azcoiti, X.Q. Luo, C.E. Piedrafita, G. DiCarlo, A.F. Grillo and A. Galante
hep-lat/9305016
Multicanonical Multigrid Monte Carlo
To further improve the performance of Monte Carlo simulations of first-order phase transitions we propose to combine the multicanonical approach with multigrid techniques. We report tests of this proposition for the $d$-dimensional $\Phi^4$ field theory in two different situations. First, we study quantum tunneling for...
1993-05-20
2008-11-26
[ "hep-lat" ]
W.Janke and T.Sauer
hep-lat/9305014
Undesirable effects of covariance matrix techniques for error analysis
Regression with $\chi^2$ constructed from the covariance matrix should not be used for some combinations of covariance matrices and fitting functions. Using the technique for unsuitable combinations can amplify systematic errors. This amplification is uncontrolled, and can produce arbitrarily inaccurate results that mi...
1993-05-17
2009-10-22
[ "hep-lat", "hep-ph", "nucl-th" ]
David Seibert (Theory Division, CERN, CH-1211 Geneva 23, Switzerland)
hep-lat/9305013
SU(2) finite temperature phase transition and Michael sum rules
We studied the finite temperature phase transition of SU(2) gauge theory on four-dimensional Euclidean lattices by Monte Carlo simulations, and measured the flux distributions of a $q\bar q$ pair in both confined and unconfined phases. We reviewed and generalized Michael sum rules to include finite temperature effects....
1993-05-14
2009-09-25
[ "hep-lat" ]
Yingcai Peng and Richard W. Haymaker
hep-lat/9305011
The Coulomb-Higgs phase transition in Z(8) and q=8 U(1)-Higgs models
The Coulomb-Higgs phase transition of the four dimensional Z$_8$ gauge model is studied. We find clear first order properties in contradiction with the previously stressed second order behavior. That transition point may be regarded as the end of a transition line of the U(1)-Higgs model with charge $q=8$, that has bee...
1993-05-10
2009-10-22
[ "hep-lat" ]
L.A. Fernandez, A. Munoz Sudupe, J.J. Ruiz-Lorenzo and A. Tarancon
hep-lat/9305012
Freezing a Fluid Random Surface
We investigate a dynamically triangulated random surface action that consists of a gaussian term plus the modulus of the intrinsic scalar curvature. We find that the flips are frozen out and the internal geometry is regularized as the coefficient of the latter term is increased. Such a term thus provides a way of inter...
1993-05-10
2009-10-22
[ "hep-lat" ]
C.F. Baillie and D.A. Johnston
hep-lat/9305010
Phases of the three-state Potts model in three spatial dimensions
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. In both phases clusters of like spins are observed with irregular boundaries. ...
1993-05-09
2007-05-23
[ "hep-lat" ]
Shigemi Ohta
hep-lat/9305009
Static Scaling Behavior of High-Molecular-Weight Polymers in Dilute Solution: A Reexamination
Previous theories of dilute polymer solutions have failed to distinguish clearly between two very different ways of taking the long-chain limit: (I) $N \to\infty$ at fixed temperature $T$, and (II) $N \to\infty$, $T \to T_\theta$ with $x \equiv N^\phi (T-T_\theta)$ fixed. I argue that the modern two-parameter theory (c...
1993-05-08
2010-12-17
[ "hep-lat", "cond-mat" ]
Alan D. Sokal
hep-lat/9305008
On the Logarithmic Triviality of Scalar Quantum Electrodynamics
Using finite size scaling and histogram methods we obtain numerical results from lattice simulations indicating the logarithmic triviality of scalar quantum electrodynamics, even when the bare gauge coupling is chosen large. Simulations of the non-compact formulation of the lattice abelian Higgs model with fixed length...
1993-05-07
2019-08-17
[ "hep-lat", "hep-ph", "hep-th" ]
M.Baig, H.Fort, S.Kim, J.B.Kogut, D.K.Sinclair
hep-lat/9305007
The $1/N$ expansion of two-dimensional spin models
A general two-dimensional spin model with U$(N)$ invariance, interpolating between $\CPN$ and ${\rm O}(2N)$ models, is studied in detail in order to illustrate both the general features of the $1/N$ expansion on the lattice and the specific techniques devised to extract scaling (field-theoretical) behavior. The continu...
1993-05-06
2014-11-17
[ "hep-lat", "cond-mat", "hep-th" ]
Massimo Campostrini and Paolo Rossi
hep-lat/9305006
Finite-Size Scaling at Phase Coexistence
{}From a finite-size scaling (FSS) theory of cumulants of the order parameter at phase coexistence points, we reconstruct the scaling of the moments. Assuming that the cumulants allow a reconstruction of the free energy density no better than as an asymptotic expansion, we find that FSS for moments of low order is stil...
1993-05-04
2009-10-22
[ "hep-lat", "cond-mat" ]
Sourendu Gupta, A. Irbaeck and M. Ohlsson
hep-lat/9305005
High-Temperature Series Analyses of the Classical Heisenberg and XY Model
Although there is now a good measure of agreement between Monte Carlo and high-temperature series expansion estimates for Ising ($n=1$) models, published results for the critical temperature from series expansions up to 12{\em th} order for the three-dimensional classical Heisenberg ($n=3$) and XY ($n=2$) model do not ...
1993-05-04
2009-10-22
[ "hep-lat" ]
J. Adler, C. Holm, and W. Janke