Lattice Gauge Theories: An Introduction

Lattice Gauge Theories: An Introduction

Author: Heinz J Rothe

Publisher: World Scientific

Published: 1992-01-29

Total Pages: 397

ISBN-13: 9814602302

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This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.


Lattice Gauge Theories

Lattice Gauge Theories

Author: Heinz J. Rothe

Publisher: World Scientific

Published: 2005

Total Pages: 610

ISBN-13: 9812560629

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- Wherever possible simple examples, which illustrate the main ideas, are provided before embarking on the actual discussion of the problem of interest - The book introduces the readers to problems of great current interest, like instantons, calorons, vortices, magnetic monopoles - QCD at finite temperature is discussed at great length, both in perturbation theory and in Monte Carlo simulations - The book contains many figures showing numerical results of pioneering work


Quantum Chromodynamics on the Lattice

Quantum Chromodynamics on the Lattice

Author: Christof Gattringer

Publisher: Springer

Published: 2009-10-03

Total Pages: 352

ISBN-13: 3642018505

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This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.


Introduction to Gauge Field Theories

Introduction to Gauge Field Theories

Author: M. Chaichian

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 337

ISBN-13: 3642821774

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In recent years, gauge fields have attracted much attention in elementary par ticle physics. The reason is that great progress has been achieved in solving a number of important problems of field theory and elementary particle physics by means of the quantum theory of gauge fields. This refers, in particular, to constructing unified gauge models and theory of strong interactions between the elementary particles. This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions. In writing the book, the authors' aim was three-fold: firstly, to outline the basic ideas underlying the unified gauge models and the theory of strong inter actions; secondly, to discuss the major unified gauge models, the theory of strong interactions and their experimental implications; and, thirdly, to acquaint the reader with a rather special mathematical approach (path-in tegral method) which has proved to be well suited for constructing the quantum theory of gauge fields. Gauge fields are a vigorously developing area. In this book, we have select ed for presentation the more or less traditional and commonly accepted mate rial. There also exist a number of different approaches which are presently being developed. The most important of them are touched upon in the Conclusion.


Quarks, Gluons and Lattices

Quarks, Gluons and Lattices

Author: Michael Creutz

Publisher: Cambridge University Press

Published: 2023-01-31

Total Pages: 179

ISBN-13: 100929038X

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This 1983 book, reissued as OA, introduces the lattice approach to QFT for elementary particle and solid state physicists.


Discrete Gauge Theory

Discrete Gauge Theory

Author: Robert Oeckl

Publisher: Imperial College Press

Published: 2005

Total Pages: 218

ISBN-13: 1860947379

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This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic methods. It provides a highly unified description of lattice gauge theory, topological quantum field theory and models of quantum (super)gravity. The reader is thus in a unique position to understand the relations between these subjects as well as the underlying groundwork.


Gauge Theory of Elementary Particle Physics

Gauge Theory of Elementary Particle Physics

Author: Ta-Pei Cheng

Publisher: Oxford University Press

Published: 1994-08-02

Total Pages: 549

ISBN-13: 0192652249

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This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up by many illustrative examples. Derivations, some of well known results, are presented in sufficient detail to make the text accessible to readers entering the field for the first time. The book focuses on the strong interaction theory of quantum chromodynamics and the electroweak interaction theory of Glashow, Weinberg, and Salam, as well as the grand unification theory, exemplified by the simplest SU(5) model. Not intended as an exhaustive survey, the book nevertheless provides the general background necessary for a serious student who wishes to specialize in the field of elementary particle theory. Physicists with an interest in general aspects of gauge theory will also find the book highly useful.


Quantum Fields on a Lattice

Quantum Fields on a Lattice

Author: Istvan Montvay

Publisher: Cambridge University Press

Published: 1994

Total Pages: 512

ISBN-13: 9780521599177

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Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.