Lattice Gauge Theories

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Lattice Gauge Theories

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Author : Heinz J. Rothe
language : en
Publisher: World Scientific
Release Date : 2005

Lattice Gauge Theories written by Heinz J. Rothe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

- 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

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Author : Robert Oeckl
language : en
Publisher: Imperial College Press
Release Date : 2005

Discrete Gauge Theory written by Robert Oeckl and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

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.

Introduction To Quantum Fields On A Lattice

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Author : Jan Smit
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27

Introduction To Quantum Fields On A Lattice written by Jan Smit and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Science categories.

Clear and pedagogical introduction to quantum fields on a lattice, for advanced undergraduates and graduates.

Quantum Chromodynamics On The Lattice

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Author : Christof Gattringer
language : en
Publisher: Springer
Release Date : 2009-10-03

Quantum Chromodynamics On The Lattice written by Christof Gattringer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-03 with Science categories.

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.

Chaos And Gauge Field Theory

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Author : T. S. Bir¢
language : en
Publisher: World Scientific
Release Date : 1994

Chaos And Gauge Field Theory written by T. S. Bir¢ and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.

This book introduces a rapidly growing new research area ? the study of dynamical properties of elementary fields. The methods used in this field range from algebraic topology to parallel computer programming. The main aim of this research is to understand the behavior of elementary particles and fields under extreme circumstances, first of all at high temperature and energy density generated in the largest accelerators of the world and supposed to be present in the early evolution of our Universe shortly after the Big Bang.In particular, chaos is rediscovered in a new appearance in these studies: in gauge theories the well-known divergence of initially adjacent phase space trajectories leads over into a quasi-thermal distribution of energy with a saturated average distance of different field configurations. This particular behavior is due to the compactness of the gauge group.Generally this book is divided into two main parts: the first part mainly deals with the ?classical? discovery of chaos in gauge field theory while the second part presents methods and research achievements in recent years. One chapter is devoted entirely to the presentation and discussion of computational problems. The major theme, returning again and again throughout the book, is of course the phenomenon with a thousand faces ? chaos itself.This book is intended to be a research book which introduces the reader to a new research field, presenting the basic new ideas in detail but just briefly touching on the problems of other related fields, like perturbative or lattice gauge theory, or dissipative chaos. The terminology of these related fields are, however, used.Exercises are also included in this book. They deepen the reader's understanding of special issues and at the same time offer more information on related problems. For the convenience of the fast reader, solutions are presented right after the problems.

Loops Knots Gauge Theories And Quantum Gravity

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Author : Rodolfo Gambini
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-03

Loops Knots Gauge Theories And Quantum Gravity written by Rodolfo Gambini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-03 with Mathematics categories.

Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed in detail. Following chapters move on to consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research.

Quarks Gluons And Lattices

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Author : Michael Creutz
language : en
Publisher: Cambridge University Press
Release Date : 1983

Quarks Gluons And Lattices written by Michael Creutz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Science categories.

Introduction to the lattice approach to quantum field theory, a technique that has produced compelling evidence that exchange of gauge gluons can confine the quarks within subnuclear matter.

Lattice Gauge Theories An Introduction Fourth Edition

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Author : Heinz J Rothe
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-03-14

Lattice Gauge Theories An Introduction Fourth Edition written by Heinz J Rothe and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-14 with Science categories.

This book provides a broad introduction to gauge field theories formulated on a space-time lattice, and in particular of QCD. It serves as a textbook for advanced graduate students, and also provides the reader with the necessary analytical and numerical techniques to carry out research on his own. Although the analytic calculations are sometimes quite demanding and go beyond an introduction, they are discussed in sufficient detail, so that the reader can fill in the missing steps. The book also introduces the reader to interesting problems which are currently under intensive investigation. Whenever possible, the main ideas are exemplified in simple models, before extending them to realistic theories. Special emphasis is placed on numerical results obtained from pioneering work. These are displayed in a great number of figures. Beyond the necessary amendments and slight extensions of some sections in the third edition, the fourth edition includes an expanded section on Calorons — a subject which has been under intensive investigation during the last twelve years.

Quantum Fields On A Lattice

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Author : Istvan Montvay
language : en
Publisher: Cambridge University Press
Release Date : 1994

Quantum Fields On A Lattice written by Istvan Montvay and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

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