Journal ArticleDOI
Monte Carlo computations in lattice gauge theories
TLDR
In this article, the formulation of gauge theories on Euclidean space-time lattices and the application of the Monte Carlo computational technique to the ensuing systems are reviewed and a variety of numerical results obtained for lattice gauge theories are presented and discussed.About:
This article is published in Physics Reports.The article was published on 1983-04-01. It has received 217 citations till now. The article focuses on the topics: Lattice gauge theory & Hamiltonian lattice gauge theory.read more
Citations
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The Bonn Meson Exchange Model for the Nucleon Nucleon Interaction
Journal ArticleDOI
Symmetry aspects of finite-temperature confinement transitions
TL;DR: In this article, a review of analytical and numerical work on confinement phase transitions in finite-temperature Abelian and non-Abelian gauge theories is presented, and the role of matter fields as symmetry-breaking perturbations is noted as important to the eventual unraveling of the phase structure of quantum chromodynamics.
Journal ArticleDOI
Theory and phenomenology of the QCD vacuum
TL;DR: In this paper, various approaches used nowadays in order to understand the structure of the ground state of the strong interaction theory, the so-called QCD vacuum, are reviewed, including semiclassical methods, numerical methods, and macroscopic approaches.
Journal ArticleDOI
Multigrid Monte Carlo method. Conceptual foundations.
Jonathan Goodman,Alan D. Sokal +1 more
TL;DR: A stochastic generalization of the multigrid method, called multigrids Monte Carlo (MGMC), that reduces critical slowing down in Monte Carlo computations of lattice field theories, applicable to nonlinear {sigma} models, and to lattice gauge theories with or without bosonic matter fields.
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Light meson spectroscopy
Stephen Godfrey,Jim Napolitano +1 more
TL;DR: In this paper, the current status of light-meson spectroscopy is surveyed, with a general introduction to meson spectra and its importance in understanding the physical states of quantum chromodynamics.
References
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Journal ArticleDOI
Equation of state calculations by fast computing machines
TL;DR: In this article, a modified Monte Carlo integration over configuration space is used to investigate the properties of a two-dimensional rigid-sphere system with a set of interacting individual molecules, and the results are compared to free volume equations of state and a four-term virial coefficient expansion.
Book
Phase Transitions and Critical Phenomena
TL;DR: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results as discussed by the authors, and the major aim of this serial is to provide review articles that can serve as standard references for research workers in the field.
Journal ArticleDOI
Ultraviolet Behavior of Non-Abelian Gauge Theories
David J. Gross,Frank Wilczek +1 more
TL;DR: In this paper, it was shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior.
Journal ArticleDOI
Reliable Perturbative Results for Strong Interactions
TL;DR: In this article, the authors show that perturbation theory is arbitrarily good for the deep Euclidean Green's functions of any Yang-Mills theory and of many Yang Mills theories with fermions.
Journal ArticleDOI
Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
TL;DR: In this paper, the authors have calculated the value of the Callan-Symanzik β function to order g √ 5 for non-Abelian gauge theories with fermions.