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hep-lat/9411065
Study of a new simulation algorithm for dynamical quarks on the APE-100 parallel computer
First results on the autocorrelation behaviour of a recently proposed fermion algorithm by M. L\"uscher are presented and discussed. The occurence of unexpected large autocorrelation times is explained. Possible improvements are discussed.
1994-11-28
2009-10-28
[ "hep-lat" ]
B. Jegerlehner
hep-lat/9411063
The Schr\"odinger functional in QCD
The Schr\"odinger functional in Wilson's lattice QCD leads to a sensible classical continuum theory which can be taken as starting point for a perturbative analysis. In dimensional regularization, the saddle point expansion of the Schr\"odinger functional is performed to one-loop order of perturbation theory. The diver...
1994-11-28
2009-10-28
[ "hep-lat" ]
Stefan Sint
hep-lat/9411062
New Method for the Extrapolation of Finite-Size Data to Infinite Volume
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...
1994-11-28
2009-10-28
[ "hep-lat" ]
Sergio Caracciolo, Robert G. Edwards, Sabino J. Ferreira, Andrea Pelissetto and Alan D. Sokal
hep-lat/9411058
Charmonium spectroscopy with heavy Kogut-Susskind quarks
Charmonium spectroscopy with Kogut-Susskind valence quarks are carried out for quenched QCD at $\beta=6.0$ and for two-flavor full QCD at $\beta=5.7$. Results for 1P--1S mass splitting and estimates of $\alpha^{(5)}_{\overline{MS}}(m_Z)$ are reported. Problems associated with flavor breaking effects and finite size eff...
1994-11-26
2009-10-28
[ "hep-lat" ]
S. Aoki, M. Fukugita, S. Hashimoto, N. Ishizuka, H. Mino, M. Okawa, T. Onogi, and A. Ukawa
hep-lat/9411052
The electroweak phase transition: a non-perturbative lattice investigation
We present results obtained from a numerical investigation of the electroweak phase transition in the SU(2)-Higgs model. The simulations are performed at two values of the Higgs boson mass, $M_H\approx 20$ GeV and $M_H\approx 50$ GeV. While the phase transition is of strongly first order at the smaller value of the Hig...
1994-11-25
2009-10-28
[ "hep-lat", "hep-ph" ]
F. Csikor, Z. Fodor, J. Hein, K. Jansen, A. Jaster and I. Montvay
hep-lat/9411054
ISU - Multigrid for computing propagators
The Iteratively Smoothing Unigrid algorithm (ISU), a new multigrid method for computing propagators in Lattice Gauge Theory, is explained. The main idea is to compute good (i.e.\ smooth) interpolation operators in an iterative way. This method shows {\em no critical slowing down} for the 2-dimensional Laplace equation ...
1994-11-25
2009-10-28
[ "hep-lat" ]
Martin Baker
hep-lat/9411056
A proposal of a Renormalization Group transformation
We propose a family of renormalization group transformations characterized by free parameters that may be tuned in order to reduce the truncation effects. As a check we test them in the three dimensional XY model. The Schwinger--Dyson equations are used to study the renormalization group flow.
1994-11-25
2009-10-28
[ "hep-lat" ]
L.A. Fernandez, A. Munoz Sudupe, J.J. Ruiz-Lorenzo and A. Tarancon
hep-lat/9411055
A new approach to instanton calculations in the O(3) nonlinear sigma model
We construct all instantons in the \nlsig\ on a cylindrical space-time, known not to exist on a finite time interval. The scale parameter, $\rho$, is related to the boundary condition in time. This may cure the $\rho\rightarrow0$ divergent instanton gas, through a proper inclusion of in and out states in the path integ...
1994-11-25
2008-11-26
[ "hep-lat" ]
Jeroen Snippe and Pierre van Baal
hep-lat/9411053
The derivative expansion of the renormalization group
By writing the flow equations for the continuum Legendre effective action (a.k.a. Helmholtz free energy) with respect to a particular form of smooth cutoff, and performing a derivative expansion up to some maximum order, a set of differential equations are obtained which at FPs (Fixed Points) reduce to non-linear eigen...
1994-11-25
2009-10-28
[ "hep-lat", "cond-mat", "hep-th" ]
Tim R. Morris
hep-lat/9411057
Toward the QCD $\beta$ Function with Dynamical Wilson Fermions
We present data for the scaling behavior of lattice QCD with two flavors of light Wilson fermions. This is done by matching $\pi$ n and $\rho$ masses at the two lattice sizes of $16^3\times32 $ and $8^3\times16$. We find that at $\beta=6/g^2\equiv5.3$ the matching does not occur over a range extending down to $\beta=3....
1994-11-25
2009-10-28
[ "hep-lat" ]
K.M. Bitar, R.G. Edwards, U.M. Heller, A.D. Kennedy and P. Vranas
hep-lat/9411051
More on strongly coupled quenched QED
We study the critical region of lattice QED4 in the quenched approximation. The issue of triviality is addressed by contrasting simulation results for $<\bar\psi\psi>$ and for the susceptibilities with the predictions of two critical scenarios -- powerlaw scaling, and triviality \`a la Nambu--Jona Lasinio. We discrimin...
1994-11-24
2009-09-25
[ "hep-lat" ]
M-P Lombardo, A.Kocic and J.B.Kogut
hep-lat/9411047
Some comments on Laplacian gauge fixing
Laplacian gauge fixing was introduced to find a unique representative of the gauge orbit, which on the lattice could be implemented by a ``finite'' algorithm. What was still lacking was a perturbative formulation of this gauge, which will be presented here. However, renormalizability is still to be demonstrated. For to...
1994-11-24
2009-10-28
[ "hep-lat", "hep-th" ]
Pierre van Baal
hep-lat/9411046
Dynamics on the SU(2) fundamental domain
For SU(2) gauge theory on the three-sphere we focus on a subspace of modes of the gauge field that contains the tunnelling paths and the sphalerons and on which the energy functional is degenerate to second order in the fields. The ultimate goal is to study the $\theta$-dependence of the low-lying states for this model...
1994-11-24
2009-10-28
[ "hep-lat" ]
Bas van den Heuvel and Pierre van Baal
hep-lat/9411048
London Penetration Length and String Tension in SU(2) Lattice Gauge Theory
We study the distribution of the color fields due to a static quark-antiquark pair in SU(2) lattice gauge theory. We find evidence of dual Meissner effect. We put out a simple relation between the penetration length and the string tension.
1994-11-24
2009-10-28
[ "hep-lat" ]
Paolo Cea and Leonardo Cosmai (Dipartimento di Fisica dell'Universita` di Bari and INFN Sezione di Bari)
hep-lat/9411049
Improving the Lattice QED Action
Strongly coupled QED is a model whose physics is dominated by short-ranged effects. In order to assess which features of numerical simulations of the chiral phase transition are universal and which are not, we have formulated a quenched version of the model in which photon degrees of freedom are defined on a lattice of...
1994-11-24
2009-10-28
[ "hep-lat" ]
Simon Hands (University of Wales, Swansea)
hep-lat/9411050
The sphaleron energy for SU(2)-Higgs from cooling
The cooling algorithm for saddle points presented in ref. [1] is generalized to obtain static classical solutions of the SU(2)-Higgs field theory in the limit of infinite Higgs self-coupling. The sphaleron energy obtained via this algorithm is ${\cal E}_{\rm sph}= 5.08(7)\,M_W/\alpha_W$ to be compared with 5.0707 obtai...
1994-11-24
2009-10-28
[ "hep-lat" ]
Margarita Garcia Perez and Pierre van Baal
hep-lat/9411045
Monopole condensation ans superconductivity: the $SU(2)$ case
We study the behaviour of a suitably defined disorder parameter, showing for the first time monopole condenssation in the ground state of QCD.
1994-11-23
2009-10-28
[ "hep-lat", "hep-th" ]
L. Del Debbio, A. Di Giacomo, G. Paffuti and P. Pieri
hep-lat/9411043
Canonical Demon Monte Carlo Renormalization Group
We describe a method to compute renormalized coupling constants in a Monte Carlo renormalization group calculation. It can be used, e.g., for lattice spin or gauge models. The basic idea is to simulate a joint system of block spins and canonical demons. Unlike the Microcanonical Renormalization Group of Creutz et al. i...
1994-11-23
2009-10-28
[ "hep-lat" ]
M. Hasenbusch, K. Pinn, C. Wieczerkowski
hep-lat/9411044
Monopole condensation in the ground state of gauge theories: a disorder parameter
We construct a disorder parameter for dual superconductivity of the ground state of $U(1)$ gauge theory.
1994-11-23
2009-10-28
[ "hep-lat", "hep-th" ]
L. Del Debbio, A. Di Giacomo and G. Paffuti
hep-lat/9411042
Rough Interfaces Beyond the Gaussian Approximation
We compare predictions of the Capillary Wave Model with Monte Carlo results for the energy gap and the interface 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 to two-loop order (one order be...
1994-11-23
2009-10-22
[ "hep-lat" ]
M. Caselle, F. Gliozzi, R. Fiore, M. Hasenbusch, K. Pinn, S. Vinti
hep-lat/9411040
Perfect Lattice Actions for the Gross-Neveu Model
We apply the method of Hasenfratz and Niedermayer to analytically construct perfect lattice actions for the Gross--Neveu model. In the large $N$ limit these actions display an exactly perfect scaling, i.e. cut-off artifacts are completely eliminated even at arbitrarily short correlation length. Also the energy spectrum...
1994-11-22
2016-08-31
[ "hep-lat" ]
W. Bietenholz, E. Focht and U.-J. Wiese
hep-lat/9411039
Flavor-Parity Breaking in the NJL Model with Wilson Fermions
The Nambu--Jona-Lasinio model is chirally symmetric. Addition of a Wilson term explicitly breaks this symmetry and leaves the model with a remaining parity-flavor symmetry. In the approximation of a large number of colors it has been shown that there is a phase where the remaining parity-flavor symmetry is spontaneousl...
1994-11-22
2009-10-22
[ "hep-lat" ]
K. M. Bitar and P. M. Vranas
hep-lat/9411041
P-wave meson properties with Wilson quarks
We describe two calculations involving P-wave mesons made of Wilson quarks: the strong coupling constant $\alpha_s$ in the presence of two flavors of light dynamical fermions and the mass and decay constant of the $a_1$ meson.
1994-11-22
2010-01-18
[ "hep-lat" ]
M. Wingate, T. DeGrand, S. Collins and U. Heller
hep-lat/9411036
Deconfinement transition and monopoles in $T\neq0$ $SU(2)$ QCD
The role of monopoles in the deconfinement transition is discussed in the framework of abelian projection in the maximally abelian gauge in $T\neq0$ $SU(2)$ QCD. Only one (or a few near $\beta_c$) long connected monopole loop exists uniformly through the whole lattice in each vacuum configuration in addition to some ve...
1994-11-22
2017-02-01
[ "hep-lat" ]
Shun-ichi Kitahara, Yoshimi Matsubara and Tsuneo Suzuki
hep-lat/9411037
Hierarchical renormalization goup fixed points
Hierarchical renormalization group transformations are related to non-associative algebras. Non-trivial infrared fixed points are shown to be solutions of polynomial equations. At the example of a scalar model in $d(\ge2)$ dimensions some methods for the solution of these algebraic equations are presented.
1994-11-22
2009-10-22
[ "hep-lat" ]
A. Pordt
hep-lat/9411035
Universal behaviour of the SU(2) running coupling constant in the continuum limit
We present data from the ALPHA Collaboration about lattice calculation of SU(2) pure--gauge running coupling constant, obtained with two different definitions of the coupling itself, which show universality of the continuum limit and clarify the applicability of renormalized perturbation theory.
1994-11-21
2009-10-22
[ "hep-lat" ]
Marco Guagnelli (for the ALPHA Collaboration)
hep-lat/9411034
New critical phenomena in 2d quantum gravity
We study $q=10$ and $q=200$ state Potts models on dynamical triangulated lattices and demonstrate that these models exhibit continuous phase transitions, contrary to the first order transition present on regular lattices. For $q=10$ the transition seems to be of 2nd order, while it seems to be of 3rd order for $q=200$....
1994-11-20
2016-08-31
[ "hep-lat", "gr-qc", "hep-th" ]
Jan Ambjorn, Gudmar Thorleifsson and Mark Wexler
hep-lat/9411031
Construction of staples in lattice gauge theory on a parallel computer
We propose a simple method to construct staples in lattice gauge theory with Wilson action on a parallel computer. This method can be applicable to any dimensional system and to any dimensional division without difficulty. Furthermore this requires rather small working area to realize gauge simulation on a parallel com...
1994-11-18
2009-10-22
[ "hep-lat" ]
S.Hioki
hep-lat/9411033
Chiral symmetry on the lattice
I review some of the difficulties associated with chiral symmetry in the context of a lattice regulator. I discuss the structure of Wilson Fermions when the hopping parameter is in the vicinity of its critical value. Here one flavor contrasts sharply with the case of more, where a residual chiral symmetry survives anom...
1994-11-18
2009-10-22
[ "hep-lat" ]
Michael Creutz (Brookhaven National Laboratory)
hep-lat/9411032
Dynamical Triangulation with Fluctuating Topology
We consider a dynamical triangulation model of euclidean quantum gravity where the topology is not fixed. This model is equivalent to a tensor generalization of the matrix model of two dimensional quantum gravity. A set of moves is given that allows Monte Carlo simulation of this model. Some preliminary results are pre...
1994-11-18
2009-10-22
[ "hep-lat" ]
Bas V. de Bakker
hep-lat/9411030
Expansion Aspect of Color Transparency on the Lattice
The opportunity to observe color transparency (CT) is determined by how rapidly a small-sized hadronic wave packet expands. Here we use SU(2) lattice gauge theory with Wilson fermions in the quenched approximation to investigate the expansion. The wave packet is modeled by a point hadronic source, often used as an inte...
1994-11-17
2009-10-22
[ "hep-lat", "nucl-th" ]
D.Makovoz and G.A.Miller
hep-lat/9411028
Topological charge density around static colour sources in lattice QCD with dynamical quarks
We update our numerical investigation of topological structures around static quarks in pure gauge QCD by results of the first runs including dynamical quarks. Simulations were performed on an $8^3\times4$ lattice, with $SU(3)$ Wilson action, with 3 flavours of quarks of equal mass, both in the confinement and deconfin...
1994-11-16
2008-11-26
[ "hep-lat" ]
M. Faber, H. Markum, S. Olejnik and W. Sakuler
hep-lat/9411026
Three-dimensional $x-y$ model with the Chern-Simons term
We investigate the influence of the Chern-Simons term coupled to the three-dimensional $x-y$ model. This term endows vortices with an internal angular momentum and thus gives them arbitrary statistics. The Chern-Simons term for the $x-y$ model takes an integer value which can be written as a sum over all vortex lines o...
1994-11-16
2007-05-23
[ "hep-lat", "cond-mat", "hep-th" ]
Norbert Schultka and Efstratios Manousakis
hep-lat/9411027
Logarithmic Corrections to Scaling in the $XY_2$--Model
We study the distribution of partition function zeroes for the $XY$--model in two dimensions. In particular we find the scaling behaviour of the end of the distribution of zeroes in the complex external magnetic field plane in the thermodynamic limit (the Yang--Lee edge) and the form for the density of these zeroes. As...
1994-11-16
2009-10-22
[ "hep-lat" ]
R. Kenna and A.C. Irving
hep-lat/9411029
Systematic Expansion for Full QCD Based on the Valence Approximation
We construct a systematic expansion for full QCD. The leading term gives the valence (quenched) approximation.
1994-11-16
2008-02-03
[ "hep-lat", "hep-ph", "hep-th" ]
J. Sexton and D. Weingarten
hep-lat/9411024
Leptonic Decays of $B$- and $D$-Mesons
The present status of lattice calculations of $f_D$, $f_B$ and some mass splittings are discussed. When one includes the uncertainties due to discretization errors, the results do not yet have a sufficient precision to be relevant to phenomenological applications. There are, however, good prospects of cutting down the ...
1994-11-15
2009-10-22
[ "hep-lat" ]
R. Sommer
hep-lat/9411025
Do Wilson Fermions Induce an Adjoint Gauge Coupling?
Expansions of the Wilson determinant in lattice QCD with quarks produce gauge action terms which shift the coupling constant of the fundamental representation plaquette action and induce an adjoint representation plaquette action. We study the magnitude of these induced couplings with two flavors of Wilson fermions. We...
1994-11-15
2008-11-26
[ "hep-lat" ]
Leo Karkkainen, K. Rummukainen
hep-lat/9411023
Complex-Temperature Singularities in the $d=2$ Ising Model. II. Triangular Lattice
We investigate complex-temperature singularities in the Ising model on the triangular lattice. Extending an earlier analysis of the low-temperature series expansions for the (zero-field) susceptibility $\bar\chi$ by Guttmann \cite{g75} to include the use of differential approximants, we obtain further evidence in suppo...
1994-11-14
2009-10-22
[ "hep-lat" ]
V. Matveev and R. Shrock
hep-lat/9411019
Exact solution (by algebraic methods) of the lattice Schwinger model in the strong-coupling regime
Using the monomer--dimer representation of the lattice Schwinger model, with $N_f =1$ Wilson fermions in the strong--coupling regime ($\beta=0$), we evaluate its partition function, $Z$, exactly on finite lattices. By studying the zeroes of $Z(k)$ in the complex plane $(Re(k),Im(k))$ for a large number of small lattice...
1994-11-11
2009-10-22
[ "hep-lat" ]
F. Karsch, E. Meggiolaro and L. Turko
hep-lat/9411022
Hadron correlators with improved fermions
We investigate point-to-point correlation functions for various mesonic and baryonic channels using the ${\cal O}(a)$-improved Wilson action due to Sheikholeslami and Wohlert. We consider propagators to both time slices 0 and 1. We find that discretisation effects are more pronounced than those reported with unimproved...
1994-11-11
2009-10-22
[ "hep-lat" ]
P.W. Stephenson (UKQCD Collaboration, University of Wales, Swansea)
hep-lat/9411021
Hadron Properties in the Vicinity of $T_c$
Modifications of hadron masses and some of their basic properties with temperature or nuclear density are considered as one possible signature for the formation of dense hadronic matter in nuclear collisions. We discuss here some basic results on the temperature dependence of hadron properties obtained from calculation...
1994-11-11
2009-09-25
[ "hep-lat" ]
Frithjof Karsch
hep-lat/9411018
Two-loop computation of a finite volume running coupling on the lattice
In pure SU(2) gauge theory we compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional. This result is required to relate the latter to the MSbar-coupling in our programme to compute alpha_s. In addition it allows us to imple...
1994-11-11
2009-10-22
[ "hep-lat" ]
Ulli Wolff
hep-lat/9411020
Three-Dimensional SU(3) gauge theory and the Spatial String Tension of the (3+1)-Dimensional Finite Temperature SU(3) Gauge Theory
We establish a close relation between the spatial string tension of the (3+1)-dimensional $SU(3)$ gauge theory at finite temperature ($\sigma_s$) and the string tension of the 3-dimensional $SU(3)$ gauge theory ($\sigma_3$) which is similar to what has been found previously for $SU(2)$. We obtain $\sqrt{\sigma_3} = (0....
1994-11-11
2009-10-22
[ "hep-lat" ]
F.~Karsch, E. Laermann and M. L\"utgemeier
hep-lat/9411017
Universality and the approach to the continuum limit in lattice gauge theory
The universality of the continuum limit and the applicability of renormalized perturbation theory are tested in the SU(2) lattice gauge theory by computing two different non-perturbatively defined running couplings over a large range of energies. The lattice data (which were generated on the powerful APE computers at R...
1994-11-09
2009-10-22
[ "hep-lat" ]
G. de Divitiis, R. Frezzotti, M. Guagnelli, M. Luescher, R. Petronzio, R. Sommer, P. Weisz and U. Wolff
hep-lat/9411013
Efficient Hadronic Operators in Lattice Gauge Theory
We propose the study of non-local gauge invariant operators to obtain an uncontaminated ground state for hadrons. The efficiency of the operators is shown by looking at the wave function of the first excited state, which has a node as a function of spatial extent of the operator.
1994-11-09
2007-05-23
[ "hep-lat" ]
P. Lacock (UKQCD Collaboration)
hep-lat/9411015
Instanton size distributions from calibrated cooling
Using an under-relaxed cooling algorithm we investigated the vacuum in the $2d\ O(3)$ model and $4d$ pure gauge $SU(2)$. We calibrated the amount of cooling performed to have similar physical effect at different lattice spacings.
1994-11-09
2008-11-26
[ "hep-lat" ]
C. Michael and P.S. Spencer
hep-lat/9411016
A new simulation algorithm for lattice QCD with dynamical quarks
A previously introduced multi-boson technique for the simulation of QCD with dynamical quarks is described and some results of first test runs on a $6^3\times12$ lattice with Wilson quarks and gauge group SU(2) are reported.
1994-11-09
2009-10-22
[ "hep-lat" ]
B. Bunk, K. Jansen, B. Jegerlehner, M. L\"uscher, H. Simma, R. Sommer
hep-lat/9411014
Continuum limit of field theories regularized on a random lattice
The continuum limit and scaling properties of an asymptotically free field theory regularized on a random lattice are compared with those on a regular square lattice. We work on random lattices parametrized by a degree of ``randomness'' $\kappa$. We show that the continuum limit exists and different $\kappa$ are relate...
1994-11-09
2009-10-22
[ "hep-lat" ]
B. Alles, M. Beccaria, L. Del Debbio and R. Del Real
hep-lat/9411012
Chiral invariance and lattice fermions with minimal doubling
A few years ago some attention has been given to a fermionic action on the lattice, with a Wilson-like term which is chirally invariant but breaks the hypercubic space-time lattice symmetry. This action describes two Dirac fields in the continuum limit, provided the coefficient $\lambda$ of the Wilson-like term satisfi...
1994-11-08
2009-10-22
[ "hep-lat", "hep-th" ]
Mario Pernici
hep-lat/9411008
Computational Ergodicity of $s^4$
It is known that there are four-manifolds which are not algorithmically recognizable. This implies that there exist triangulations of these manifolds which are separated by large barriers from the point of view of the computer algorithm. We have not observed these barriers for triangulations of $S^4$.
1994-11-07
2009-10-22
[ "hep-lat", "gr-qc", "hep-th" ]
J. Ambjorn and J. Jurkiewicz
hep-lat/9411009
Asymptotic Scaling in the Two-Dimensional $O(3)$ $\sigma$-Model at Correlation Length $10^5$
We carry out a high-precision Monte Carlo simulation of the two-dimensional $O(3)$-invariant $\sigma$-model at correlation lengths $\xi$ up to $\sim 10^5$. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss care...
1994-11-07
2009-10-22
[ "hep-lat" ]
Sergio Caracciolo, Robert G. Edwards, Andrea Pelissetto and Alan D. Sokal
hep-lat/9411010
A General Method for Non-Perturbative Renormalization of Lattice Operators
We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from the matrix elements of lattice operators. We also present the results of a calcu...
1994-11-07
2009-10-09
[ "hep-lat" ]
G. Martinelli, C. Pittori, C.T. Sachrajda, M. Testa and A. Vladikas
hep-lat/9411011
Lattice Calculation of D- and B-meson Semileptonic Decays, using the Clover Action at beta=6.0 on APE
We present the results of a high statistics lattice calculation of hadronic form factors relevant for $D-$ and $B-$meson semi-leptonic decays into light pseudoscalar and vector mesons. The results have been obtained by averaging over 170 gauge field configurations, generated in the quenched approximation, at $\beta=6.0...
1994-11-07
2009-10-22
[ "hep-lat" ]
C.R. Allton, M. Crisafulli, V. Lubicz, G. Martinelli, F. Rapuano, N. Stella, A. Vladikas, A. Bartoloni, C. Battista, S. Cabasino, N. Cabibbo, E. Panizzi, P.S. Paolucci, R. Sarno, G.M. Todesco, M. Torelli, P. Vicini
hep-lat/9411007
An Analytic Study of the Phase Structure of Lattice QCD with Wilson Fermions at Infinitely Strong Coupling
The phase structure of lattice QCD with two flavors and Wilson fermions is studied analytically. At $\beta=0$ we obtain rigorous lower and upper bounds for the critical hopping parameter $k_c(0)$ from a convergent hopping parameter expansion to infinite order. The result supports the value $k_c(0)=\frac{1}{4}$ observed...
1994-11-07
2009-09-25
[ "hep-lat" ]
A.Galli (PSI)
hep-lat/9411006
Flux tubes and topological charges in finite-temperature lattice QCD
Topological properties of the vacuum were investigated in finite-temperature lattice QCD without and with dynamical quarks using a local operator of topological charge density and a variant of cooling. Below the deconfinement temperature evidence for flux tube formation was observed in the distribution of topological c...
1994-11-06
2007-05-23
[ "hep-lat" ]
M. Faber, H. Markum, S.Olejnik, W.Sakuler
hep-lat/9411005
Chiral Perturbation Theory and the Quenched Approximation of QCD
The quenched approximation for QCD is, at present and in the foreseeable future, unavoidable in lattice calculations with realistic choices of the lattice spacing, volume and quark masses. In these lectures, I review the analytic study of the effects of quenching based on chiral perturbation theory. Quenched chiral per...
1994-11-03
2014-11-17
[ "hep-lat", "hep-ph" ]
Maarten F.L. Golterman
hep-lat/9411004
SU(3) Lattice Gauge Theory With Adjoint Action At Nonzero Temperature
We study the thermal phase diagram of pure SU(3) gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines for $N_t=2,4,6,$ and 8. For $N_t > 4$ the deconfinement transition line splits cleanly ...
1994-11-03
2008-11-26
[ "hep-lat" ]
T. Blum, Carleton DeTar, Urs M. Heller, Leo Karkkainen and D. Toussaint
hep-lat/9411003
Composite Weak Bosons in a Confining Gauge Theory without Goldstone Bosons: a Strong Coupling Expansion Analysis
We consider a confining Yang-Mills theory without Goldstone Bosons which could describe the bosonic sector of the weak interactions. This model can be gauge invariantly regularized on a lattice. A strong coupling analysis of the low lying bound state spectrum indicates that the vector isotriplet bound state (the right ...
1994-11-02
2009-10-22
[ "hep-lat" ]
A. Galli (PSI)
hep-lat/9411001
Composite Weak Bosons: a Lattice Analysis
We present a lattice analysis of a confining Yang-Mills theory without Goldstone boson. We have analytically investigated the model by a strong coupling expansion and by an intensive lattice Monte Carlo simulation using standard lattice QCD methods. We show that this theory is an interesting candidate for describing we...
1994-11-02
2009-10-22
[ "hep-lat" ]
A. Galli (PSI)
hep-lat/9411002
Composite Weak Bosons: a Lattice Monte Carlo Analysis
We present a lattice Monte Carlo simulation for the evaluation of the spectrum of a confining Yang-Mills theory without Goldstone boson. We show that this theory is a very good candidate for describing composite weak bosons. In order to perform the spectrum analysis we have used standard lattice QCD Monte Carlo methods...
1994-11-02
2009-10-22
[ "hep-lat" ]
A. Galli (PSI)
hep-lat/9410023
Polymer-Chain Adsorption Transition at a Cylindrical Boundary
In a recent letter, a simple method was proposed to generate solvable models that predict the critical properties of statistical systems in hyperspherical geometries. To that end, it was shown how to reduce a random walk in $D$ dimensions to an anisotropic one-dimensional random walk on concentric hyperspheres. Here, I...
1994-10-29
2018-07-06
[ "hep-lat", "cond-mat" ]
S. Boettcher
hep-lat/9410021
Recent Developments in Monte Carlo Simulations of First-Order Phase Transitions
In the past few years considerable progress has been made in Monte Carlo simulations of first-order phase transitions and in the analysis of the resulting finite-size data. In this paper special emphasis will be placed on multicanonical simulations using multigrid update techniques, on numerical estimates of interface ...
1994-10-28
2007-05-23
[ "hep-lat" ]
Wolfhard Janke
hep-lat/9410022
Quantum Behaviour of the Flux Tube: A comparison between QFT predictions and lattice gauge theory simulations
We review some universal features of the colour flux tube of gauge theories in the confining phase predicted by the infrared conformal limit of the underlying string theory. In particular we discuss shape effects in Wilson loops and rederive in a general way the logarithmic growth of the mean square width of the flux t...
1994-10-28
2007-05-23
[ "hep-lat" ]
F.Gliozzi
hep-lat/9410018
Domain Wall Fermions and Chiral Gauge Theories
We review the status of the domain wall fermion approach to construct chiral gauge theories on the lattice. In this model an extra, fifth dimension is added and our 4-dimensional world lives on a domainwall induced by a soliton shaped mass defect that depends on the extra dimension only. We demonstrate that the domain ...
1994-10-26
2015-06-25
[ "hep-lat" ]
Karl Jansen
hep-lat/9410019
Correlation Function at $\beta_t$ in the Disordered Phase of 2D Potts Models
We use Monte Carlo simulations to measure the spin-spin correlation function in the disordered phase of two-dimensional $q$-state Potts models with $q=10,15$, and $20$ at the first-order transition point $\beta_t$. To extract the correlation length $\xi_d$ from the exponential decay of the correlation function over sev...
1994-10-26
2009-10-22
[ "hep-lat", "cond-mat" ]
Wolfhard Janke and Stefan Kappler
hep-lat/9410020
Random Walk Model on a Hyper-Spherical Lattice
We use a one-dimensional random walk on $D$-dimensional hyper-spheres to determine the critical behavior of statistical systems in hyper-spherical geometries. First, we demonstrate the properties of such walk by studying the phase diagram of a percolation problem. We find a line of second and first order phase transiti...
1994-10-26
2009-10-22
[ "hep-lat" ]
S. Boettcher
hep-lat/9410017
QCD Strings as Constrained Grassmannian Sigma Model:
We present calculations for the effective action of string world sheet in R3 and R4 utilizing its correspondence with the constrained Grassmannian sigma model. Minimal surfaces describe the dynamics of open strings while harmonic surfaces describe that of closed strings. The one-loop effective action for these are calc...
1994-10-24
2009-10-22
[ "hep-lat", "hep-th" ]
K.S.Viswanathan and R.Parthasarathy
hep-lat/9410015
Embedding the N=2 Supersymmetric Yang-Mills Theory in the Adjoint Higgs-Yukawa Model on the Lattice
The N=2 supersymmetric Yang-Mills theory is formulated on the lattice. The feasibility of numerical simulations is discussed.
1994-10-21
2009-10-22
[ "hep-lat" ]
I. Montvay
hep-lat/9410016
The continuum limit of $f_B$ from the lattice in the static approximation
We present an analysis of the continuum extrapolation of $f_B$ in the static approximation from lattice data. The method described here aims to uncover the systematic effects which enter in this extrapolation and has not been described before. Our conclusions are that we see statistical evidence for scaling of $f_B^{st...
1994-10-21
2009-10-22
[ "hep-lat", "hep-ph" ]
C.R.Allton
hep-lat/9410014
The beta function and equation of state for QCD with two flavors of quarks
We measure the pressure and energy density of two flavor QCD in a wide range of quark masses and temperatures. The pressure is obtained from an integral over the average plaquette or psi-bar-psi. We measure the QCD beta function, including the anomalous dimension of the quark mass, in new Monte Carlo simulations and fr...
1994-10-20
2009-10-22
[ "hep-lat" ]
T. Blum, Steven Gottlieb, Leo Karkkainen and D. Toussaint
hep-lat/9410011
The Gluon Propagator on a Large Volume, at $\beta=6.0$
We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at $\beta=6.0$. As suggested by previous studies, we find that, in momentum space, the propagator is well described by the expression $G(k^2)= \Big[ M^2 + Z\cdot k^2(k^2/\Lambda^2)^\eta\Big]^{-1} $. By comparing $G(k...
1994-10-20
2015-06-25
[ "hep-lat" ]
P.Marenzoni, G. Martinelli, N. Stella
hep-lat/9410012
An ``Improved" Lattice Study of Semi-leptonic Decays of D-Mesons
We present results of a lattice computation of the matrix elements of the vector and axial-vector currents which are relevant for the semi-leptonic decays $D \rightarrow K$ and $D \rightarrow K^*$. The computations are performed in the quenched approximation to lattice QCD on a $24^3 \times 48$ lattice at $\beta=6.2$, ...
1994-10-20
2012-08-27
[ "hep-lat", "hep-ph" ]
UKQCD Collaboration
hep-lat/9410013
Geometrical Volume Effects in the Computation of the Slope of the Isgur-Wise Function
We use a method recently suggested for evaluating the slope of the Isgur-Wise function, at the zero-recoil point, on the lattice. The computations are performed in the quenched approximation to lattice QCD, on a $24^3 \times 48$ lattice at $\beta=6.2$, using an $O(a)$-improved action for the fermions. We have found une...
1994-10-20
2012-08-27
[ "hep-lat", "hep-ph" ]
UKQCD Collaboration
hep-lat/9410008
Chiral symmetry and lattice gauge theory
I review the problem of formulating chiral symmetry in lattice gauge theory. I discuss recent approaches involving an infinite tower of additional heavy states to absorb Fermion doublers. For hadronic physics this provides a natural scheme for taking quark masses to zero without requiring a precise tuning of parameters...
1994-10-19
2007-05-23
[ "hep-lat" ]
Michael Creutz
hep-lat/9410009
Tricritical Behavior of Two-Dimensional Scalar Field Theories
We compute by Monte Carlo numerical simulations the critical exponents of two-dimensional scalar field theories at the $\lambda\phi^6$ tricritical point. The results are in agreement with the Zamolodchikov conjecture based on conformal invariance.
1994-10-19
2009-10-22
[ "hep-lat", "hep-th" ]
M. Asorey, J.G. Esteve, F. Falceto and J. Salas
hep-lat/9410010
Monte Carlo calculation for systems consisting of several coordinate patches
I investigate the time step dependence of Monte Carlo simulations for coordinate-spaces consisting of several patches. It is shown that a naive kinetic term does not necessarily converge to the same spectrum as a Hamiltonian calculation. Then an improved kinetic term is presented which allows one to connect the Monte C...
1994-10-19
2009-10-22
[ "hep-lat" ]
Claus Vohwinkel
hep-lat/9410007
Lattice Results for Heavy Light Matrix Elements
Lattice results for heavy light matrix elements are reviewed and some of their implications are very briefly discussed. Despite the fact that in most cases the lattice results for weak matrix elements at the moment have only a modest accuracy of about 20--30\% they already have important phenomenological repercussions;...
1994-10-18
2007-05-23
[ "hep-lat", "hep-ph" ]
A. Soni
hep-lat/9410006
Spectrum of the Dirac Operator and Inversion Algorithms with Dynamical Staggered Fermions
Complete spectra of the staggered Dirac operator $\Dirac$ are determined in four-dimensional $SU(2)$ gauge fields with and without dynamical fermions. An attempt is made to relate the performance of multigrid and conjugate gradient algorithms for propagators with the distribution of the eigenvalues of~$\Dirac$.
1994-10-13
2009-10-22
[ "hep-lat" ]
Thomas Kalkreuter
hep-lat/9410005
Low-Temperature Series Expansions for the Spin-1 Ising Model
The finite lattice method of series expansion has been used to extend low-temperature series for the partition function, order parameter and susceptibility of the spin-1 Ising model on the square lattice. A new formalism is described that uses two distinct transfer matrix approaches in order to significantly reduce com...
1994-10-10
2011-07-19
[ "hep-lat", "cond-mat" ]
I. G. Enting, A, J. Guttmann and I. Jensen
hep-lat/9410004
Universality and the Deconfinement Phase Transition in SU(2) Lattice Gauge Theory
We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at non-zero temperatures by Monte Carlo simulations. On an $8^3 \times 2$ lattice, at $\beta_A = 1.1$, where $\beta_A$ is the adjoint coupling, we find no evidence of any transition at the location of a previously known bulk phase transitio...
1994-10-07
2009-10-22
[ "hep-lat" ]
Manu Mathur, Rajiv V. Gavai
hep-lat/9410003
Real Space Renormalization Group Analysis of U(1)-Gauge Theory with theta-term in 2 Dimensions
U(1) lattice gauge theory with $\theta$-term is investigated by real space renormalization group approach. Flows of renormalized coupling constants are analyzed. For each $\theta$, renormalization flows converge to a single trajectory irrespective of bare coupling constants of real action. For $\theta \not= \pi$ the sy...
1994-10-06
2017-03-08
[ "hep-lat" ]
Ahmed Sayed HASSAN, Masahiro IMACHI (Department of Physics,Kyushu University,Fukuoka, 812 JAPAN) and Hiroshi YONEYAMA( Department of Physics,Saga University, Saga, 840 JAPAN)
hep-lat/9410002
Confining Forces and String Formation from the Lattice
We show the running coupling as derived from the SU(3) QQ potential and discuss preliminary results on spin dependent heavy quark potentials from high statistics lattice simulations of SU(2) gauge theory. The precision suffices to study scaling properties and lattice artifacts (at short distances). We identify the Coul...
1994-10-04
2007-05-23
[ "hep-lat" ]
G.S. Bali, K. Schilling, C. Schlichter, and A. Wachter
hep-lat/9410001
Lattice $(\Phi^4)_4$ Effective Potential Giving Spontaneous Symmetry Breaking and the Role of the Higgs Mass
We present a critical reappraisal of the available results on the broken phase of $\lambda(\Phi^4)_4$ theory, as obtained from rigorous formal analyses and from lattice calculations. All the existing evidence is compatible with Spontaneous Symmetry Breaking but dictates a trivially free shifted field that becomes contr...
1994-10-04
2009-10-22
[ "hep-lat", "hep-ph", "hep-th" ]
A. Agodi, G. Andronico and M. Consoli
hep-lat/9409021
The Elusive Asymptotic Behavior of the High-Temperature Expansion of the Hierarchical Ising Model
We present a differential formulation of the recursion formula of the hierarchical model which provides a recursive method of calculation for the high-temperature expansion. We calculate the first 30 coefficients of the high temperature expansion of the magnetic susceptibility of the Ising hierarchical model with 12 si...
1994-09-27
2008-02-03
[ "hep-lat" ]
Y. Meurice and G. Ordaz
hep-lat/9409019
A Solution to the Strong CP Problem
One may argue that QCD solves the strong CP problem by itself, without having to introduce new symmetries and particles. To test this idea, a lattice simulation is performed. The problem is investigated in the CP$^3$ model first. It is found that the model has a first order phase transition in $\theta$ from a confining...
1994-09-26
2007-05-23
[ "hep-lat" ]
G. Schierholz
hep-lat/9409018
Perfect Lattice Actions for the Gross-Neveu Model at large N
Fixed point actions for free and interacting staggered lattice fermions are constructed by iterating renormalization group transformations. At large N the fixed point action for the Gross-Neveu model is a perfect action in the sense of Hasenfratz and Niedermayer, i.e. cut-off effects are completely eliminated. In parti...
1994-09-23
2009-10-22
[ "hep-lat" ]
W. Bietenholz, E. Focht and U.-J. Wiese
hep-lat/9409020
Screening of the topological charge in a correlated instanton vacuum
Screening of the topological charge due to he fermion-induced interactions is an important phenomenon, closely related with the resolution of the strong CP and U(1) problems. We study the mechanism of such screening in a 'correlated instanton vacuum', as opposed to the 'random' one. Both scalar and pseudoscalar gluonic...
1994-09-23
2014-11-17
[ "hep-lat" ]
E.V. Shuryak and J.J.M. Verbaarschot
hep-lat/9409017
Simulating the Electroweak Phase Transition in the SU(2) Higgs Model
Numerical simulations are performed to study the finite temperature phase transition in the SU(2) Higgs model on the lattice. In the presently investigated range of the Higgs boson mass, below 50 GeV, the phase transition turns out to be of first order and its strength is rapidly decreasing with increasing Higgs boson ...
1994-09-21
2009-10-22
[ "hep-lat", "hep-ph" ]
Z. Fodor, J. Hein, K. Jansen, A. Jaster, I. Montvay
hep-lat/9409016
Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature
We show that decimation transformations applied to high-$q$ Potts models result in non-Gibbsian measures even for temperatures higher than the transition temperature. We also show that majority transformations applied to the Ising model in a very strong field at low temperatures produce non-Gibbsian measures. This show...
1994-09-20
2007-05-23
[ "hep-lat" ]
Aernout C. D. van Enter and Roberto Fern\'andez and Roman Koteck\'y
hep-lat/9409015
Low--Temperature Series for Renormalized Operators: the Ferromagnetic Square--Lattice Ising Model.
A method for computing low--temperature series for renormalized operators in the two--dimensional Ising model is proposed. These series are applied to the study of the properties of the truncated renormalized Hamiltonians when we start at very low temperature and zero field. The truncated Hamiltonians for majority rule...
1994-09-19
2009-10-22
[ "hep-lat" ]
J. Salas (NYU)
hep-lat/9409013
Domain wall fermions in a waveguide: the phase diagram at large Yukawa coupling
In this paper we return to a model with domain wall fermions in a waveguide. This model contains a Yukawa coupling $y$ which is needed for gauge invariance. A previous paper left the analysis for large values of this coupling incomplete. We fill the gap by developing a systematic expansion suitable for large $y$, and u...
1994-09-16
2009-10-22
[ "hep-lat", "hep-th" ]
Maarten Golterman and Yigal Shamir
hep-lat/9409014
Generalized Hybrid Monte-Carlo
We propose a modification of the Hybrid Monte-Carlo method to sample equilibrium distributions of continuous field models. The method allows an efficient implementation of Fourier acceleration and is shown to reduce completely critical slowing down for the Gaussian model, i. e., $z=0$.
1994-09-16
2007-05-23
[ "hep-lat", "cond-mat" ]
Raul Toral (Departament de Fisica, Universitat de les Illes Balears, 07071-Palma de Mallorca, Spain), A.L. Ferreira (Departamento de Fisica, Universidade de Aveiro, 3800 Aveiro, Portugal)
hep-lat/9409012
Gribov Noise on the Lattice Axial Current Renormalisation Constant
We study the influence of Gribov copies, in the Landau gauge, on the lattice renormalisation constant of the axial current, obtained from a Ward identity on quark state correlation functions, with the Clover action, in quenched SU(3) gauge theory. A comparison between the gauge invariant determination of the renorma= l...
1994-09-15
2009-10-22
[ "hep-lat" ]
Maria Luigia Paciello, Silvano Petrarca, Bruno Taglienti, Anastassios Vladikas
hep-lat/9409011
Boundary condition for Staggered Fermion in Lattice Schr\"odinger Functional of QCD
The fermionic part of the Schr\"odinger functional of QCD is formulated in the lattice regularization with the staggered fermion. The boundary condition imposed on the staggered fermion field are examined in terms of the four-component Dirac spinor. The boundary terms are different from those of the Symanzik's theory i...
1994-09-14
2007-05-23
[ "hep-lat" ]
Shunji Miyazaki and Yoshio Kikukawa
hep-lat/9409010
Exploring Lattice Quantum Chromodynamics by Cooling
The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry breaking order parameter $\langle \overline{\chi}\chi \rangle$ and meson correlator...
1994-09-13
2010-11-01
[ "hep-lat" ]
Howard D. Trottier, R. M. Woloshyn
hep-lat/9409009
Renormalization Group And Scaling Within The Microcanonical Fermionic Average Approach
The MFA approach for simulations with dynamical fermions in lattice gauge theories allows in principle to explore the parameters space of the theory (e.g. the $\beta, m$ plane for the study of chiral condensate in QED) without the need of computing the fermionic determinant at each point. We exploit this possibility fo...
1994-09-13
2007-05-23
[ "hep-lat" ]
V. Azcoiti, V. Laliena, G. Di Carlo, A. Galante and A. F. Grillo
hep-lat/9409008
Multigrid Methods for Propagators in Lattice Gauge Theories
Multigrid methods were invented for the solution of discretized partial differential equations in ordered systems. The slowness of traditional algorithms is overcome by updates on various length scales. In this article we discuss generalizations of multigrid methods for disordered systems, in particular for propagators...
1994-09-13
2011-04-15
[ "hep-lat" ]
Thomas Kalkreuter
hep-lat/9409007
Core -- a New Method for Solving Hamiltonian Lattice Systems
The COntractor REnormalization group (CORE) approximation, a new method for solving Hamiltonian lattice systems, is introduced. The approach combines variational and contraction techniques with the real-space renormalization group approach and is systematically improvable. Since it applies to lattice systems of infinit...
1994-09-12
2007-05-23
[ "hep-lat" ]
Colin Morningstar and Marvin Weinstein
hep-lat/9409006
An Analysis of Four-quark Energies in SU(2) Lattice Monte Carlo using the Flux-tube Symmetry:
Energies of four-quark systems calculated by the static quenched SU(2) lattice Monte Carlo method are analyzed in $2\times 2$ bases for square, rectangle, tilted rectangle, linear and quadrilateral geometry configurations and in $3\times 3$ bases for a non-planar geometry configuration. For small interquark distances, ...
1994-09-08
2009-10-22
[ "hep-lat" ]
S.Furui, A.M.Green and B.Masud
hep-lat/9409005
Observing Long Colour Flux Tubes in SU(2) Lattice Gauge Theory
We present results of a high statistics study of the chromo field distribution between static quarks in SU(2) gauge theory on lattices of volumes 16^4, 32^4, and 48^3*64, with physical extent ranging from 1.3 fm up to 2.7 fm at beta=2.5, beta=2.635, and beta=2.74. We establish string formation over physical distances a...
1994-09-07
2009-10-22
[ "hep-lat" ]
G.S. Bali, K. Schilling, C. Schlichter