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hep-lat/9405002
How good is 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 this talk, I review an analytic study of the effects of quenching based on chiral perturbation theory. Quenched chiral perturbat...
1994-05-03
2015-06-25
[ "hep-lat", "hep-ph" ]
Maarten F.L. Golterman
hep-lat/9405003
Hadron Masses from the Valence Approximation to Lattice QCD
We evaluate pseudoscalar, vector, spin 1/2 and spin 3/2 baryon masses predicted by lattice QCD with Wilson quarks in the valence (quenched) approximation for a range of different values of lattice spacing, lattice volume and quark mass. Extrapolating these results to physical quark mass, then to zero lattice spacing an...
1994-05-03
2009-10-22
[ "hep-lat" ]
F. Butler, H. Chen, J. Sexton, A. Vaccarino and D. Weingarten
hep-lat/9405001
Fast Krylov Space Methods for Calculation of Quark Propogator
Different recently developed Krylov space methods for solving linear systems are studied and compared for the solution of the Dirac equation on the lattice. Stabilized Biconjugate Gradient (BiCGstab2) is shown to be a robust and efficient solver for the calculation of the Wilson quark propagator in lattice QCD.
1994-05-02
2007-05-23
[ "hep-lat" ]
Artan Bori\c{c}i and Philippe de Forcrand
hep-lat/9404017
Dual Meissner Effect 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 that the London penetration length measured after Abelian projection in the Abelian Covariant gauge (Maximal Abelian gauge) agrees with the one obtained without gauge fixing. Moreover the penetratio...
1994-04-29
2009-10-22
[ "hep-lat" ]
P. Cea and L. Cosmai
hep-lat/9404016
High Precision Renormalization Group Study of the Roughening Transition
We confirm the Kosterlitz-Thouless scenario of the roughening transition for three different Solid-On-Solid models: the Discrete Gaussian model, the Absolute-Value-Solid-On-Solid model and the dual transform of the XY model with standard (cosine) action. The method is based on a matching of the renormalization group fl...
1994-04-29
2009-10-22
[ "hep-lat" ]
M. Hasenbusch, M. Marcu, and K. Pinn
hep-lat/9404015
Monopoles and string tension in SU(2) QCD
Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of SU(2) QCD in the maximally abelian gauge. The string tension is well reproduced only by monopole contributions, whereas photons alone are responsible for the Coulomb coefficient of the abelian static potential.
1994-04-28
2009-10-22
[ "hep-lat", "hep-ph", "nucl-th" ]
Hiroshi Shiba and Tsuneo Suzuki
hep-lat/9404014
String Tension from Monopoles in SU(2) Lattice Gauge Theory
The axis for Figure 2 was wrong. It has been fixed and the postscript file replaced (The file was called comp.ps).
1994-04-26
2010-11-01
[ "hep-lat" ]
John D. Stack, Steven D. Neiman, and Roy J. Wensley
hep-lat/9404013
Accelerating Wilson Fermion Matrix Inversions by Means of the Stabilized Biconjugate Gradient Algorithm
The stabilized biconjugate gradient algorithm BiCGStab recently presented by van der Vorst is applied to the inversion of the lattice fermion operator in the Wilson formulation of lattice Quantum Chromodynamics. Its computational efficiency is tested in a comparative study against the conjugate gradient and minimal res...
1994-04-25
2015-06-25
[ "hep-lat" ]
A. Frommer, V. Hannemann, Th. Lippert, B. Noeckel and K. Schilling
hep-lat/9404012
A New Determination of M_b Using Lattice QCD
Recent results from lattice QCD simulations provide a realistic picture, based upon first principles, of~$\Upsilon$ physics. We combine these results with the experimentally measured mass of the $\Upsilon$~meson to obtain an accurate and reliable value for the $b$-quark's pole mass. We use two different methods, each o...
1994-04-21
2009-10-22
[ "hep-lat", "hep-ph" ]
C.T.H. Davies, K. Hornbostel, A. Langnau, G.P. Lepage, A. Lidsey, C.J. Morningstar, J. Shigemitsu, and J. Sloan
hep-lat/9404010
Lattice Computation of the Effective Potential in O(2)-Invariant $\lambda\Phi^4$ Theory
We present a lattice computation of the effective potential for O(2)-invariant $(\lambda\Phi^4)_4$ theory in the region of bare parameters corresponding to a classically scale-invariant theory. As expected from ``triviality'' and as in the one-component theory, we find very good agreement with the one-loop prediction, ...
1994-04-20
2007-05-23
[ "hep-lat", "hep-ph", "hep-th" ]
A.Agodi, G.Andronico and M.Consoli
hep-lat/9404011
Critical region of the random bond Ising model
We describe results of the cluster algorithm Special Purpose Processor simulations of the 2D Ising model with impurity bonds. Use of large lattices, with the number of spins up to $10^6$, permitted to define critical region of temperatures, where both finite size corrections and corrections to scaling are small. High a...
1994-04-20
2009-10-22
[ "hep-lat", "cond-mat" ]
Andrei L. Talapov and Lev N. Shchur
hep-lat/9404009
Lattice and Continuum Theories
We investigate path integral formalism for continuum theory. It is shown that the path integral for the soft modes can be represented in the form of a lattice theory. Kinetic term of this lattice theory has a standard form and potential term has additional nonlocal terms which contributions should tend to zero in the l...
1994-04-19
2007-05-23
[ "hep-lat" ]
V.M.Belyaev
hep-lat/9404007
Distances on a Lattice from Non-commutative Geometry
Using the tools of noncommutative geometry we calculate the distances between the points of a lattice on which the usual discretized Dirac operator has been defined. We find that these distances do not have the expected behaviour, revealing that from the metric point of view the lattice does not look at all as a set of...
1994-04-13
2009-10-22
[ "hep-lat", "hep-th" ]
G.Bimonte, F.Lizzi and G.Sparano
hep-lat/9404008
Screening and Deconfinement of Sources in Finite Temperature SU(2) Lattice Gauge Theory
Deconfinement and screening of higher-representation sources in finite-temperature $SU(2)$ lattice gauge theory is investigated by both analytical and numerical means. The effective Polyakov-line action at strong coupling is simulated by an efficient cluster-updating Monte Carlo algorithm for the case of $d\!=\!4$ dime...
1994-04-13
2009-10-22
[ "hep-lat" ]
P.H. Damgaard and M. Hasenbusch
hep-lat/9404006
QCD thermodynamics with Wilson quarks at large kappa
We have extended our study of the high temperature transition with two flavors of Wilson quarks on 12^3 x 6 lattices to kappa=0.19. We have also performed spectrum calculations on 12^3 x 24 lattices at kappa=0.19 to find the physical lattice spacing and quark mass. At this value of kappa the transition is remarkable in...
1994-04-12
2008-11-26
[ "hep-lat" ]
Tom Blum, Thomas A. DeGrand, Carleton DeTar, Steven Gottlieb, A. Hasenfratz, Leo Karkkainen, D. Toussaint, and R.L. Sugar
hep-lat/9404004
Four-Quark Binding Energies from SU(2) Lattice Monte Carlo
Energies of four-quark systems have been extracted in a static quenched SU(2) lattice Monte Carlo calculation for six different geometries, both planar and non-planar, with $\beta=2.4$ and lattice size $16^3\times 32$. In all cases, it is found that the binding energy is greatly enhanced when the four quarks can be par...
1994-04-11
2008-11-26
[ "hep-lat" ]
A.M.Green, C.Michael and M.E.Sainio
hep-lat/9404005
The Propagators of Gauge Bosons on a lattice
We analyse the problem of the generation of mass in the gauge boson sector on the (Planck) lattice. We obtain a dynamical scenario quite similar to the popular Higgs-mechanism, with the important difference that no Higgs-type excitation is present in our theory. By fixing the mass of the $Z^\circ$-boson and the renorma...
1994-04-11
2009-10-22
[ "hep-lat", "hep-ph" ]
B. G. Preparata and She-Sheng XUE
hep-lat/9404003
Reentrant Behavior in the Domany-Kinzel Cellular Automaton
We present numerical and analytical results for a special kind of one-dimensional probabilistic cellular automaton, the so called Domany-Kinzel automaton. It is shown that the phase boundary separating the active and the recently found chaotic phase exhibits reentrant behavior. Furthermore exact results for the $p_2$=0...
1994-04-08
2009-10-22
[ "hep-lat" ]
H. Rieger, A. Schadschneider and M. Schreckenberg
hep-lat/9404002
Critical Point Correlation Function for the 2D Random Bond Ising Model
High accuracy Monte Carlo simulation results for 1024*1024 Ising system with ferromagnetic impurity bonds are presented. Spin-spin correlation function at a critical point is found to be numerically very close to that of a pure system. This is not trivial since a critical temperature for the system with impurities is a...
1994-04-05
2009-10-22
[ "hep-lat", "cond-mat" ]
Andrei L. Talapov and Lev N. Shchur
hep-lat/9404001
Instanton size distribution in O(3)
We present calculations of the size distribution of instantons in the 2d O(3) non-linear sigma-model, and briefly discuss the effects cooling has upon the configurations and the topological objects. (This preprint is also available via anonymous ftp to suna.amtp.liv.ac.uk in /pub/pss/ as instdist.uue.)
1994-04-05
2008-11-26
[ "hep-lat" ]
C. Michael and P.S. Spencer
hep-lat/9403028
Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD
We report results on a lattice calculation of the heavy-light meson decay constant employing the non-relativistic QCD approach for heavy quark and Wilson action for light quark. Simulations are carried out at $\beta=6.0$ on a $16^3\times 48$ lattice. Signal to noise ratio for the ground state is significantly improved ...
1994-03-31
2009-10-22
[ "hep-lat" ]
Shoji Hashimoto
hep-lat/9403027
The Spatial String Tension in High Temperature Lattice Gauge Theories
We develop some techniques which allow an analytic evaluation of space-like observables in high temperature lattice gauge theories. We show that such variables are described extremely well by dimensional reduction. In particular, by using results obtained in the context of ``Induced QCD'', we evaluate the contributions...
1994-03-31
2009-10-22
[ "hep-lat", "hep-th" ]
M. Caselle and A. D'Adda
hep-lat/9403026
Sphalerons and Other Saddles from Cooling
We describe a new cooling algorithm for SU(2) lattice gauge theory. It has any critical point of the energy or action functional as a fixed point. In particular, any number of unstable modes may occur. We also provide insight in the convergence of the cooling algorithms. A number of solutions will be discussed, in part...
1994-03-29
2015-06-25
[ "hep-lat", "hep-th" ]
Margarita Garcia Perez and Pierre van Baal
hep-lat/9403025
Phase structure and monopoles in U(1) gauge theory
We investigate the phase structure of pure compact U(1) lattice gauge theory in 4 dimensions with the Wilson action supplemented by a monopole term. To overcome the suppression of transitions between the phases in the simulations we make the monopole coupling a dynamical variable. We determine the phase diagram and fin...
1994-03-29
2009-10-22
[ "hep-lat" ]
Werner Kerler, Claudio Rebbi, and Andreas Weber
hep-lat/9403024
With missing title of the paper. Overrelaxation Algorithm for coupled Gauge-Higgs systems
In this letter we extent the overrelaxation algorithm, known to be very efficient in gauge theories, to coupled gauge-Higgs systems with a particular emphasis on the update of the radial mode of the Higgs field. Our numerical tests of the algorithm show that the autocorrelation times can be reduced substantially.
1994-03-22
2009-10-22
[ "hep-lat" ]
Zoltan Fodor and Karl Jansen
hep-lat/9403022
On the relation between the width of the flux tube and $T_c^{-1}$ in lattice gauge theories
Within the framework of a quantum flux tube model for the interquark potential it is possible to predict that in (2+1) dimensions the space-like string tension must increase with the temperature in the deconfined phase and that the thickness of the flux tube must coincide with the inverse of the deconfinement temperatu...
1994-03-18
2009-10-22
[ "hep-lat" ]
M. Caselle, F. Gliozzi and S. Vinti
hep-lat/9403023
Scattering of Glueballs and Mesons in Compact $QED$ in $2+1$ Dimensions
We study glueball and meson scattering in compact $QED_{2+1}$ gauge theory in a Hamiltonian formulation and on a momentum lattice. We compute ground state energy and mass, and introduce a compact lattice momentum operator for the computation of dispersion relations. Using a non-perturbative time-dependent method we com...
1994-03-18
2009-10-22
[ "hep-lat" ]
A.M. Chaara, H. Kr\"oger, L. Marleau, K.J.M. Moriarty and J. Potvin
hep-lat/9403021
The Lattice Cutoff for $\lambda\phi^4_4$ and $\lambda\phi^6_3$
We analyze the critical line of $\lambda\phi^4_4$ perturbatively in the bare coupling $\lambda_0$, by setting the daisy-improved renormalized mass to zero. By comparing to lattice data, we can then quantify the relation between the continuum cutoff and the lattice spacing; for the 4-dimensional hypercubic lattice we fi...
1994-03-18
2008-02-03
[ "hep-lat", "hep-ph" ]
David E. Brahm
hep-lat/9403020
Negative-Energy Spinors and the Fock Space of Lattice Fermions at Finite Chemical Potential
Recently it was suggested that the problem of species doubling with Kogut-Susskind lattice fermions entails, at finite chemical potential, a confusion of particles with antiparticles. What happens instead is that the familiar correspondence of positive-energy spinors to particles, and of negative-energy spinors to anti...
1994-03-16
2010-11-01
[ "hep-lat" ]
E.Mendel and L.Polley (Oldenburg U.)
hep-lat/9403018
Lattice QCD for Small Computers
These lectures discuss field theoretic techniques that might allow for realistic simulations of lattice QCD on small computers.
1994-03-16
2016-10-26
[ "hep-lat" ]
G.P. Lepage
hep-lat/9403019
On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity
We have studied a model which has been proposed as a regularisation for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the four sphere. Using numerical simulation we find that the number of such triangulations containing $V$ simplices grow...
1994-03-16
2009-10-22
[ "hep-lat", "hep-th" ]
S. Catterall, J. Kogut and R. Renken
hep-lat/9403017
Simplicial Quantum Gravity on a Computer
We describe a method of Monte-Carlo simulations of simplicial quantum gravity coupled to matter fields. We concentrate mainly on the problem of implementing effectively the random, dynamical triangulation and building in a detailed-balance condition into the elementary transformations of the triangulation. We propose a...
1994-03-15
2009-10-22
[ "hep-lat" ]
S. Bilke, Z. Burda and J. Jurkiewicz
hep-lat/9403016
Field-strength correlators in $SU(2)$ gauge theory
We measure field-strength and their correlators in presence of a static $q \bar q$ pair by numerical simulations. We give an interpretation of these data in terms of quadratic and quartic cumulants.
1994-03-15
2009-10-22
[ "hep-lat" ]
L. Del Debbio, A. Di Giacomo and Yu. Simonov
hep-lat/9403015
Bosonization and the lattice: the $d=2$ Gross-Neveu model
We consider the lattice formulation of bosonized quantum field theories. As a non trivial example, we study the two dimensional Gross-Neveu model. Analytical investigations and direct numerical simulation strongly suggest that the lattice model reproduces the continuum physics. Anticommuting fields are not required and...
1994-03-14
2009-09-25
[ "hep-lat" ]
Matteo Beccaria
hep-lat/9403012
Towards a Dynamical Solution of the Strong CP Problem
It is argued that QCD might solve the strong CP problem on its own. To test this idea, a lattice simulation suggests itself. In view of the difficulty of such a calculation we have, as a first step, investigated the problem in the $CP^3$ model. The $CP^3$ model is in many respects similar to QCD. In this talk I shall p...
1994-03-11
2015-06-25
[ "hep-lat" ]
G. Schierholz
hep-lat/9403013
Detecting Dual Superconductivity in the Ground State of Gauge Theory
We explicitly construct a monopole creation operator: its vacuum expectation value is an order parameter for dual superconductivity, in that, if different from zero, it signals a spontaneous breaking of the $U(1)$ symmetry corresponding to monopole charge conservation. This operator is tested by numerical simulations i...
1994-03-11
2009-10-22
[ "hep-lat", "hep-th" ]
L. Del Debbio A. Di Giacomo and G. Paffuti
hep-lat/9403014
Nondecoupling of Heavy Mirror-Fermion
According to one-loop perturbation theory, fermions whose masses are totally generated from Yukawa couplings do not decouple in the heavy mass limit. We investigate this issue nonperturbatively in the strong coupling regime of the chiral $U(1)$ mirror-fermion model in four dimensions. Our numerical results, obtained on...
1994-03-11
2009-10-22
[ "hep-lat" ]
Lee Lin
hep-lat/9403010
Finite Size Effects in Fluid Interfaces
It is shown that finite size effects in the free energy of a rough interface of the 3D Ising and three--state Potts models are well described by the capillary wave model at {\em two--loop} order. The agreement between theoretical predictions and Monte Carlo simulations strongly supports the idea of the universality of ...
1994-03-10
2009-10-22
[ "hep-lat", "cond-mat", "hep-th" ]
M. Caselle, F. Gliozzi, P. Provero and S. Vinti
hep-lat/9403011
Chirally Extended Quantum Chromodynamics
We propose an extended Quantum Chromodynamics (XQCD) Lagrangian in which the fermions are coupled to elementary scalar %$\sigma$ and $\pi$ fields through a Yukawa coupling which preserves chiral invariance. Our principle motivation is to find a new lattice formulation for QCD which avoids the source of critical slowing...
1994-03-10
2009-10-22
[ "hep-lat", "hep-ph" ]
Richard C. Brower, Yue Shen and Chung-I Tan
hep-lat/9403008
Stochastic Lattice Gas Model for a Predator-Prey System
We propose a stochastic lattice gas model to describe the dynamics of two animal species population, one being a predator and the other a prey. This model comprehends the mechanisms of the Lotka-Volterra model. Our analysis was performed by using a dynamical mean-field approximation and computer simulations. Our result...
1994-03-09
2009-10-22
[ "hep-lat" ]
Javier Satulovsky and Tania Tome
hep-lat/9403009
Correlation Function in Ising Models
We simulated the fourier transform of the correlation function of the Ising model in two and three dimensions using a single cluster algorithm with improved estimators. The simulations are in agreement with series expansion and the available exact results in $d=2$, which shows, that the cluster algorithm can succesfull...
1994-03-09
2009-10-22
[ "hep-lat", "cond-mat" ]
C. Ruge, P. Zhu and F. Wagner
hep-lat/9403007
External magnetic fields in gauge theories
A general discussion is presented of the response of a gauge-field system to external magnetic fields, in the light of a theorem due to S. Elitzur. As a result a natural understanding emerges of some recent puzzling results from lattice MC simulations, as well as of the phenomenon of ``perfect diamagnetism'' of non-abe...
1994-03-08
2007-05-23
[ "hep-lat", "hep-th" ]
L. Gamberale, G. Preparata and She-Sheng XUE
hep-lat/9403006
Self-avoiding random surfaces with fluctuating topology
A gas of self-avoiding surfaces with an arbitrary polynomial coupling to the gaussian curvature and an extrinsic curvature term can be realized in a three-dimensional Ising bcc lattice with only three local couplings. Similar three parameter realizations are valid also in other lattices. The relation between the crumpl...
1994-03-08
2009-10-22
[ "hep-lat", "hep-th" ]
M. Caselle, F. Gliozzi and S. Vinti
hep-lat/9403005
On the equivalence between 2D Yukawa and Gross-Neveu models
We study numerically on the lattice the 2D Yukawa model with the U(1) chiral symmetry and $N_F$ = 16 at infinite scalar field self-coupling. The scaling behaviour of the fermion mass, as the Yukawa coupling approaches zero, is analysed using the mean field method. It is found to agree with that of the Gross-Neveu model...
1994-03-04
2009-10-22
[ "hep-lat" ]
E. Focht, W. Franzki, J. Jersak and M.A. Stephanov
hep-lat/9403004
The Nature of the Hadronic String
We study a closed hadronic string using pure glue lattice simulation. We measure the energy of the flux state encircling the periodic boundary condition (the torelon). From these data we deduce the string fluctuation component and compare with models for the hadronic string. [The TEX source file is also available by an...
1994-03-04
2008-11-26
[ "hep-lat" ]
UKQCD Collaboration, C. Michael and P. W. Stephenson
hep-lat/9403003
Phase structure of the Higgs-Yukawa systems with chirally invariant lattice fermion actions
We develop analytical technique for examining phase structure of $Z_2$, $U(1)$, and $SU(2)$ lattice Higgs-Yukawa systems with radially frozen Higgs fields and chirally invariant lattice fermion actions. The method is based on variational mean field approximation. We analyse phase diagrams of such systems with different...
1994-03-04
2009-10-22
[ "hep-lat" ]
S. Tominaga and S. V. Zenkin
hep-lat/9403002
Numerical simulation of the Kardar-Parisi-Zhang equation
We simulate the Kardar-Parisi-Zhang equation in 2+1 dimensions. The Hopf-Cole transformation is used in order to obtain a stable numerical scheme. The two relevant critical exponents are precisely measured. (2 PostScript figures available from the authors)
1994-03-03
2009-10-22
[ "hep-lat" ]
Matteo Beccaria and Giuseppe Curci
hep-lat/9403001
Finite Temperature Phase Transition in SU(2) Lattice Gauge Theory with Extended Action
We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase transition line at its endpoint. Moreover, across the bulk transition line, the Polya...
1994-03-02
2009-10-22
[ "hep-lat" ]
Rajiv V. Gavai, Michael Grady and Manu Mathur
hep-lat/9402020
Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $\epsilon$-Expansions
Nontrivial fixed points of the hierarchical renormalization group are computed by numerically solving a system of quadratic equations for the coupling constants. This approach avoids a fine tuning of relevant parameters. We study the eigenvalues of the renormalization group transformation, linearized around the non-tri...
1994-02-28
2009-10-22
[ "hep-lat" ]
K. Pinn, A. Pordt, and C. Wieczerkowski
hep-lat/9402019
The spin content of the proton in quenched QCD
We present preliminary results on the proton spin structure function at zero momentum, in the quenched approximation. Our calculation makes use of a nonperturbative means of determining the multiplicative renormalization of the topological charge density.
1994-02-28
2009-10-22
[ "hep-lat" ]
B. Alles, M. Campostrini, L. Del Debbio, A. Di Giacomo, H. Panagopoulos and E. Vicari
hep-lat/9402017
Field Theoretic Calculation of the Universal Amplitude Ratio of Correlation Lengths in 3D-Ising Systems
In three-dimensional systems of the Ising universality class the ratio of correlation length amplitudes for the high- and low-temperature phases is a universal quantity. Its field theoretic determination apart from the $\epsilon$-expansion represents a gap in the existing literature. In this article we present a method...
1994-02-25
2010-12-23
[ "hep-lat", "cond-mat" ]
Gernot Muenster and Jochen Heitger
hep-lat/9402018
Matrix Elements of the Singlet Axial Current in the Proton
We present a method to estimate the matrix element of the singlet axial current within a polarized proton state using lattice QCD. The method relies on using the Adler-Bell-Jackiw anomaly and gives the desired result in the chiral limit. We show that this method fails in the quenched approximation. For heavy quarks one...
1994-02-25
2009-10-22
[ "hep-lat", "hep-ph" ]
Rajan Gupta and Jeffrey Mandula
hep-lat/9402016
Looking for the Logarithms in Four-Dimensional Nambu-Jona-Lasinio Models
We study the problem of triviality in the four dimensional Nambu-Jona-Lasinio model with discrete chiral symmetry using both large-N expansions and lattice simulations. We find that logarithmic corrections to scaling appear in the equation of state as predicted by the large-N expansion. The data from $16^4$ lattice sim...
1994-02-21
2009-10-22
[ "hep-lat", "hep-ph", "hep-th" ]
Seyong Kim, Aleksandar Kocic and John Kogut
hep-lat/9402015
A Critical Surface of Chiral-invariant System with Gauge Boson and Fermions
In the chirally-invariant context of the $U_{em}(1)$ gauge interaction and four-fermion interactions for ordinary and mirror fermions, the Schwinger-Dyson equation for the fermion self-energy function is studied on a lattice. We find that a sensible infrared limit can be defined on a critical surface, which is consiste...
1994-02-18
2009-09-25
[ "hep-lat", "hep-th" ]
She-Sheng XUE
hep-lat/9402014
Strong Coupling Expansion for Scattering Phases in Hamiltonian Lattice Field Theories - I. the $(d+1)$-dimensional Ising model
A systematic method to obtain strong coupling expansions for scattering quantities in Hamiltonian lattice field theories is presented. I develop the conceptual ideas by means of the Hamiltonian field theory analogue of the Ising model, in $d$ space and one time dimension. The main result is a convergent series represen...
1994-02-18
2009-10-22
[ "hep-lat" ]
Bernd Dahmen
hep-lat/9402013
Surface states and chiral symmetry on the lattice
In a Hamiltonian formalism we study chiral symmetry for lattice Fermions formulated in terms of Shockley surface states bound to a wall in an extra spatial dimension. For hadronic physics this provides a natural scheme for taking quark masses to zero without requiring a precise tuning of parameters. We illustrate the c...
1994-02-17
2009-10-22
[ "hep-lat" ]
Michael Creutz and Ivan Horvath
hep-lat/9402012
Variational description of statistical field theories using Daubechies' wavelets
We investigate the description of statistical field theories using Daubechies' orthonormal compact wavelets on a lattice. A simple variational approach is used to extend mean field theory and make predictions for the fluctuation strengths of wavelet coefficients and thus for the correlation function. The results are co...
1994-02-16
2008-02-03
[ "hep-lat", "comp-gas", "nlin.CG" ]
Christoph Best and Andreas Schaefer
hep-lat/9402011
Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-\phi^4 theory
According to a proposal of Luescher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the four-dimensional O(4) non-linear sigma-model in a Monte Carlo study o...
1994-02-15
2009-10-22
[ "hep-lat" ]
M. Goeckeler, H.A. Kastrup, J. Westphalen and F. Zimmermann
hep-lat/9402010
The Chirality of $b$ Quark Couplings
This review addresses the question of the chirality of $b$ quark weak couplings from a theoretical and from a purely phenomenological point of view. Due to their small magnitude $b$ decay couplings are subject to possible large corrections from right-handed terms, on the one hand, and do not affect the weak interaction...
1994-02-14
2016-11-03
[ "hep-lat", "hep-ph" ]
Michael Gronau (Dept. of Physics, Technion, Haifa, Israel)
hep-lat/9402009
Fractal Dimension of Gauge-fixing Defects
The fractal dimension $D_f$ of sites resisting Landau or maximal Abelian(MA) gauge fixing in lattice $SU(3)$ gluodynamics is defined and computed. In Landau gauge such sites clump into $D_f\sim 1$ clusters in the confining phase. In the finite temperature phase their dimensionality drops to $D_f < 1$, that is, clusteri...
1994-02-14
2009-10-22
[ "hep-lat", "cond-mat" ]
M.I. Polikarpov(ITEP, Moscow) and Ken Yee(LSU)
hep-lat/9402008
Single-Cluster Monte Carlo Study of the Ising Model on Two-Dimensional Random Lattices
We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices with up to 80,000 sites which are linked together according to the Voronoi/Delaunay prescription. In one set of simulations we use reweighting techniques and finite-size scaling analysis to i...
1994-02-13
2009-09-25
[ "hep-lat", "cond-mat" ]
W. Janke, M. Katoot, and R. Villanova
hep-lat/9402006
Spectrum of the Dirac operator in a QCD instanton liquid: two versus three colors
Approximating the sum over all gauge field configurations in the QCD partition function by a liquid of instantons, we calculate the spectrum of the Dirac operator for two and three colors and for 0, 1 and 2 flavors. We find a remarkable difference in the spectrum near zero virtuality between 2 and 3 colors, which can b...
1994-02-11
2009-10-22
[ "hep-lat" ]
Jacobus Verbaaarschot
hep-lat/9402007
Loop Action for Lattice U(1) Gauge Theory
It is showed that the very recently introduced Lagrangian $loop$ formulation of the lattice Maxwell theory is equivalent to the Villain form in 2+1 dimensions. A transparent description of the classical $loop$ action is given in pure geometrical terms for the $2+1$ and $3+1$ dimensional cases.
1994-02-11
2009-10-22
[ "hep-lat" ]
J. M. Aroca and H. Fort
hep-lat/9402005
Chiral Symmetry, Renormalization Group and Fixed Points for Lattice Fermions
We discuss fixed point actions for various types of free lattice fermions. The iterated block spin renormalization group transformation yields lines of local but chiral symmetry breaking fixed points. For staggered fermions at least the $U(1) \otimes U(1)$ symmetry can be preserved. This provides a basis for approximat...
1994-02-10
2007-05-23
[ "hep-lat", "hep-th" ]
W. Bietenholz
hep-lat/9402004
A generalized model for two dimensional quantum gravity and dynamics of random surfaces for d>1
The possible interpretations of a new continuum model for the two-dimensional quantum gravity for $d>1$ ($d$=matter central charge), obtained by carefully treating both diffeomorphism and Weyl symmetries, are discussed. In particular we note that an effective field theory is achieved in low energy (large area) expansio...
1994-02-09
2015-06-25
[ "hep-lat", "hep-th" ]
M. Martellini, M. Spreafico and K. Yoshida
hep-lat/9402003
Super-Instantons in Gauge Theories and Troubles with Perturbation Theory
In gauge theories with continuous groups there exist classical solutions whose energy vanishes in the thermodynamic limit (in any dimension). The existence of these super-instantons is intimately related to the fact that even at short distances perturbation theory can fail to produce unique results. This problem arises...
1994-02-08
2009-10-22
[ "hep-lat" ]
A.Patrascioiou and E.Seiler
hep-lat/9402002
The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions
We analyze simplicial quantum gravity in four dimensions using the Regge approach. The existence of an entropy dominated phase with small negative curvature is investigated in detail. It turns out that observables of the system possess finite expectation values although the Einstein-Hilbert action is unbounded. This we...
1994-02-04
2009-10-22
[ "hep-lat", "gr-qc" ]
W. Beirl, E. Gerstenmayer, H. Markum, and J. Riedler
hep-lat/9402001
Phase Diagram of An SU(2)xSU(2) Scalar-Fermion Model with Massless Decoupled Doublers
We present the phase structure of the chiral SU(2)xSU(2) scalar-fermion model on the lattice using the Zaragoza proposal for chiral fermions. The numerical result agrees with an analytic study based on the use of weak and strong Yukawa coupling expansions combined with the mean field approach. The phase diagram consits...
1994-02-03
2010-03-19
[ "hep-lat" ]
J.L. Alonso, F.Lesmes, E.Rivas and Ph. Boucaud
hep-lat/9401039
Quenched QCD at finite density
Simulations of quenched $QCD$ at relatively small but {\it nonzero} chemical potential $\mu$ on $32 \times 16^3$ lattices indicate that the nucleon screening mass decreases linearly as $\mu$ increases predicting a critical chemical potential of one third the nucleon mass, $m_N/3$, by extrapolation. The meson spectrum d...
1994-02-01
2009-10-22
[ "hep-lat" ]
J.B. Kogut, M-P Lombardo and D.K. Sinclair
hep-lat/9401037
Beauty Physics in Lattice Gauge Theory
We summarize the present status of lattice gauge theory computations of the leptonic decay constants $f_D$ and $f_B$. The various sources of systematic errors are explained in a manner easily understood by the non--expert. The results obtained by the different groups are then systematically compared. As a result, we de...
1994-01-31
2009-10-22
[ "hep-lat" ]
Rainer Sommer
hep-lat/9401036
The Spontaneous Breaking of Chiral Symmetry without Goldstone Bosons
Considering a self-interaction only of mirror fermions in the context of a lattice-regularized fermion field theory, we show that the system undergoes spontaneous breaking of chiral symmetry and mirror-fermion masses are generated. However, it is explicitly shown that there are no Goldstone bosons appearing together wi...
1994-01-31
2009-09-25
[ "hep-lat", "hep-th" ]
She-Sheng Xue
hep-lat/9401035
Tadpole-Improved Perturbation Theory for Heavy-Light Lattice Operators
Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the determination of these properties has been uncertainty in the normalization of the...
1994-01-30
2013-11-13
[ "hep-lat", "hep-ph" ]
Oscar F. Hernandez and Brian R. Hill
hep-lat/9401034
The universal effective potential for three-dimensional massive scalar field theory from the Monte Carlo study of the Ising model
We study the low-energy effective action $S_{eff}[\varphi]$ for the one-component real scalar field theory in three Euclidean dimensions in the symmetric phase, concentrating on its static part --- effective potential $V_{eff}(\varphi)$. It characterizes the approach to the phase transition in all systems that belong t...
1994-01-29
2007-05-23
[ "hep-lat", "hep-ph", "hep-th" ]
M.M.Tsypin
hep-lat/9401033
The Mass Ratio Between Neutrinos and Charged Leptons
In the framework of the recently proposed electroweak theory on a Planck lattice, we are able to solve approximately the lattice Dyson equation for the fermion self-energy functions and show that the large difference of charged lepton and neutrino masses is caused by their very different gauge couplings. The predicted ...
1994-01-27
2022-03-02
[ "hep-lat", "hep-ph" ]
She-Sheng Xue and Giuliano Preparata
hep-lat/9401032
The Schwinger Model on the lattice in the Microcanonical Fermionic Average approach
The Microcanonical Fermionic Average method has been used so far in the context of lattice models with phase transitions at finite coupling. To test its applicability to Asymptotically Free theories, we have implemented it in QED$_2$, \it i.e.\rm the Schwinger Model. We exploit the possibility, intrinsic to this method...
1994-01-27
2009-10-22
[ "hep-lat" ]
V.Azcoiti, G. Di Carlo, A. Galante, A.F. Grillo and V. Laliena
hep-lat/9401031
Recent Results in Scalar QED
In this talk we present some recent and new results on the phase structure and the continuum limit of lattice formulation of pure gauge QED coupled to Higgs fields. We show the presence of second order phase transition lines allowing for a continuum limit. Nevertheless, finite size analysis shows that this theory is lo...
1994-01-26
2009-10-22
[ "hep-lat" ]
M. Baig and J.B. Kogut
hep-lat/9401030
Computers for Lattice Field Theories
Parallel computers dedicated to lattice field theories are reviewed with emphasis on the three recent projects, the Teraflops project in the US, the CP-PACS project in Japan and the 0.5-Teraflops project in the US. Some new commercial parallel computers are also discussed. Recent development of semiconductor technologi...
1994-01-26
2009-10-22
[ "hep-lat" ]
Y. Iwasaki
hep-lat/9401029
Two dimensional SU(N)xSU(N) Chiral Models on the Lattice (II): the Green's Function
Analytical and numerical methods are applied to principal chiral models on a two-dimensional lattice and their predictions are tested and compared. New techniques for the strong coupling expansion of SU(N) models are developed and applied to the evaluation of the two-point correlation function. The momentum-space latti...
1994-01-25
2010-12-21
[ "hep-lat" ]
Paolo Rossi and Ettore Vicari (University of Pisa)
hep-lat/9401028
Level Crossing for Hot Sphalerons
We study the spectrum of the Dirac Hamiltonian in the presence of high temperature sphaleron-like fluctuations of the electroweak gauge and Higgs fields, relevant for the conditions prevailing in the early universe. The fluctuations are created by numerical lattice simulations. It is shown that a change in Chern-Simons...
1994-01-24
2009-10-22
[ "hep-lat", "hep-th" ]
J. Ambjorn, K. Farakos, S. Hands, G. Koutsoumbas and G. Thorleifsson
hep-lat/9401027
Various Abelian Projections of $SU(2)$ Lattice Gluodynamics and Aharonov-Bohm Effect in the Field Theory
We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for the confinement of color. We illustrate our ideas by some explicit results in the Abelian Higgs model with the Villain action.
1994-01-24
2010-05-27
[ "hep-lat" ]
M.N. Chernodub, M.I. Polikarpov, M.A. Zubkov
hep-lat/9401026
Phase Structure of Four Dimensional Simplicial Quantum Gravity
We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling on the mean linear extent with volume, whilst the other exhibits power law behaviour with e...
1994-01-21
2011-04-20
[ "hep-lat", "hep-th" ]
S. Catterall, J. Kogut and R. Renken
hep-lat/9401025
The heavy quark potential in QCD with 2 flavors of dynamical quarks
We compute the heavy quark potential on configurations generated by the HEMCGC collaboration with dynamical staggered fermions at $6/g^2 = 5.6$ and with dynamical Wilson fermions at $6/g^2 = 5.3$. The computations are done on $16^3 \times 32$ lattices, corresponding to physical sizes of about 1.6 and 2.3 fm, respective...
1994-01-20
2010-11-01
[ "hep-lat" ]
U.M. Heller, Khalil M. Bitar, R.G. Edwards and A.D. Kennedy
hep-lat/9401024
Analysis and Development of Stochastic Multigrid Methods in Lattice Field Theory
We study the relation between the dynamical critical behavior and the kinematics of stochastic multigrid algorithms. The scale dependence of acceptance rates for nonlocal Metropolis updates is analyzed with the help of an approximation formula. A quantitative study of the kinematics of multigrid algorithms in several i...
1994-01-20
2007-05-23
[ "hep-lat" ]
Martin Grabenstein
hep-lat/9401023
Quenching 2D Quantum Gravity
We simulate the Ising model on a set of fixed random $\phi^3$ graphs, which corresponds to a {\it quenched} coupling to 2D gravity rather than the annealed coupling that is usually considered. We investigate the critical exponents in such a quenched ensemble and compare them with measurements on dynamical $\phi^3$ grap...
1994-01-19
2009-10-22
[ "hep-lat" ]
C.F. Baillie, K.A. Hawick and D.A. Johnston
hep-lat/9401021
QCD Spectroscopy
I review recent work on the calculation of hadron masses, decay constants and wave functions.
1994-01-19
2009-10-22
[ "hep-lat" ]
D. Weingarten
hep-lat/9401020
The scalar and tensor glueballs in the valence approximation
We evaluate the infinite volume, continuum limit of $0^{++}$ and $2^{++}$ glueball masses in the valence approximation. We find $m_{0^{++}} = 1740 \pm 71 $~MeV and $m_{2^{++}} = 2359 \pm 128 $~MeV, consistent with the interpretation of $f_0 ( 1710 )$ as the lightest scalar glueball.
1994-01-19
2009-10-22
[ "hep-lat" ]
H. Chen, J. Sexton, A. Vaccarino and D. Weingarten
hep-lat/9401022
Effective Sampling of Random Surfaces by Baby Universe Surgery
We propose a new, very efficient algorithm for sampling of random surfaces in the Monte Carlo simulations, based on so-called baby universe surgery, i.e. cutting and pasting of baby universes. It drastically reduces slowing down as compared to the standard local flip algorithm, thereby allowing simulations of large ran...
1994-01-19
2009-10-22
[ "hep-lat", "hep-th" ]
J. Ambjorn, P. Bialas, J. Jurkiewicz, Z. Burda, B. Petersson
hep-lat/9401019
A Heavy Higgs Particle in the TeV Mass Range ?
The first simulation results are presented on Higgs mass calculations in the spontaneously broken phase of the Higgs sector in the minimal Standard Model with higher derivative regulator. A heavy Higgs particle is found in the TeV mass range in the presence of a complex conjugate ghost pair at higher energies. The ghos...
1994-01-18
2009-10-22
[ "hep-lat" ]
Chuan Liu, Karl Jansen, and Julius Kuti
hep-lat/9401018
Multicanonical study of $D=2$ $O(3)$ nonlinear $\sigma$-model
We present a new and exploratory approach to determine the $\Delta\beta(\beta)$-shift in the $O(3)$ nonlinear $\sigma$-model. The method is based on a scaling hypothesis for a free energy difference, which is assumed to be valid in a situation where the mass gap correlation length $\xi$ is of the order or larger than t...
1994-01-18
2016-08-14
[ "hep-lat" ]
T. Neuhaus (Fakult\"at f\"ur Physik, Universit\"at Bielefeld, Bielefeld, Germany)
hep-lat/9401017
Mass Relation Between Top and Bottom Quarks
In the framework of the recently proposed electroweak theory on a Planck lattice, we are able to solve approximately the lattice Dyson equation for the fermion self-energy functions, and obtain the ratio between the masses of the $t-$ and $b-$ quarks in terms of the electroweak coupling constants. The predicted top mas...
1994-01-18
2009-10-22
[ "hep-lat", "hep-ph" ]
She-Sheng Xue and Giuliano Preparata
hep-lat/9401016
A Numerical Study of the Hierarchical Ising Model: High Temperature Versus Epsilon Expansion
We study numerically the magnetic susceptibility of the hierarchical model with Ising spins ($\sigma =\pm 1$) above the critical temperature and for two values of the epsilon parameter. The integrations are performed exactly, using recursive methods which exploit the symmetries of the model. Lattices with up to $2^18$ ...
1994-01-16
2009-10-22
[ "hep-lat", "cond-mat", "hep-th" ]
Y. Meurice, G. Ordaz and V.G.J. Rodgers
hep-lat/9401015
Lattice Perturbation Theory for $O(N)$-Symmetric $\sigma$-Models with General Nearest-Neighbour Action I. Conventional Perturbation Theory
We compute the beta-function and the anomalous dimension of all the non-derivative operators of the theory up to three-loops for the most general nearest-neighbour O(N)-invariant action together with some contributions to the four-loop beta-function. These results are used to compute the first analytic corrections to v...
1994-01-15
2009-10-22
[ "hep-lat" ]
Sergio Caracciolo and Andrea Pelissetto
hep-lat/9401014
Deep Inelastic Scattering in Improved Lattice QCD. I. The first moment of structure functions
We present the complete 1-loop perturbative computation of the renormalization constants and mixing coefficients of the operators that measure the first moment of deep inelastic scattering structure functions, employing the nearest neighbor improved lattice QCD action. The interest of using this action in Monte Carlo s...
1994-01-14
2009-10-22
[ "hep-lat" ]
Stefano Capitani and Giancarlo Rossi
hep-lat/9401013
Variational calculation of heavy-light meson properties
We present a new method for the study of heavy-light mesons in the static approximation of lattice QCD which is optimally effective in isolating ground and excited states. With ``MOST'' (Maximal Operator Smearing Technique), the heavy quark is smeared at all possible positions relative to the light quark, subject to th...
1994-01-13
2008-11-26
[ "hep-lat" ]
Terrence Draper and Craig McNeile
hep-lat/9401012
Spectroscopy and Renormalisation Group Flow of a Lattice Nambu-Jona-Lasinio Model
We investigate a lattice Nambu--Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to the identification of particles and resonances. This enables us to discuss reno...
1994-01-13
2008-11-26
[ "hep-lat" ]
A. Ali Khan, M. Goeckeler, R. Horsley, P.E.L. Rakow, G. Schierholz and H. Stueben
hep-lat/9401011
Topography of the cooled $\cal{O}(3)$ vacuum
We investigate the {\it topography\/} of the \o3 vacuum after various degrees of under-relaxed cooling, using the na\"{\i}ve action density and geometric and field theoretical definitions of the topological charge density. The results are presented graphically. (This is a cutdown version of the full paper which is avai...
1994-01-12
2007-05-23
[ "hep-lat" ]
P.S. Spencer, C. Michael
hep-lat/9401010
Lattice QCD and Chiral Lagrangians
After a very brief review of the formalism of lattice gauge theories we show how one can calculate the parameters of the continuum chiral Lagrangians proceeding through the derivation of an effective lattice chiral Lagrangian as an intermediary step. The derivation is done in the strong coupling limit. We also discuss ...
1994-01-11
2007-05-23
[ "hep-lat", "hep-ph" ]
Stanley Myint and Claudio Rebbi
hep-lat/9401007
Temperature Dependence of Extended and Fractional SU(3) Monopole Currents
We examine in pure SU(3) the dependence of extended monopole current k and cross-species extended monopole current k^{cross} on temperature t, monopole size L, and fractional monopole charge 1/q. We find that features of both k and k^{cross} are sensitive to t for a range of L and q. In particular, the spatial-temporal...
1994-01-11
2010-11-01
[ "hep-lat", "hep-ph" ]
Ken Yee
hep-lat/9401009
Chiral Perturbation Theory on the Lattice; Strong Coupling Expansion
We evaluate the coefficients of the effective chiral Lagrangian to $O(p^4)$ in the strong coupling, large-N expansion. In this limit we explicitly perform the functional integral over fundamental degrees of freedom and obtain the effective chiral Lagrangian. We perform this calculation on the Body Centered Hypercubical...
1994-01-11
2009-10-22
[ "hep-lat", "hep-ph" ]
Stanley Myint and Claudio Rebbi
hep-lat/9401008
New Results and Long-standing Questions in Finite Temperature QCD
We review recent results on QCD at finite temperature. In particular we will discuss the chiral phase transition in two flavour QCD and new results on the excitation spectrum in the plasma phase of QCD.
1994-01-11
2009-10-22
[ "hep-lat" ]
Frithjof Karsch (HLRZ, c/o KFA J\"ulich, J\"ulich, Germany and Fakult\"at f\"ur Physik, Universit\"at Bielefeld, Bielefeld, Germany)