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

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.

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.

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.

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.

Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics
Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics

Author: Belal Ehsan Baaquie

Publisher: World Scientific

Published: 2020-07-30

Total Pages: 317

ISBN-13: 9811209715

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Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.

Lattice Gauge Theories And Monte Carlo Simulations
Lattice Gauge Theories And Monte Carlo Simulations

Author: Claudio Rebbi

Publisher: World Scientific

Published: 1983-07-01

Total Pages: 675

ISBN-13: 9814590932

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This volume is the most up-to-date review on Lattice Gauge Theories and Monte Carlo Simulations. It consists of two parts. Part one is an introductory lecture on the lattice gauge theories in general, Monte Carlo techniques and on the results to date. Part two consists of important original papers in this field. These selected reprints involve the following: Lattice Gauge Theories, General Formalism and Expansion Techniques, Monte Carlo Simulations. Phase Structures, Observables in Pure Gauge Theories, Systems with Bosonic Matter Fields, Simulation of Systems with Fermions.