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Chaos And Gauge Field Theory


Chaos And Gauge Field Theory
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Chaos And Gauge Field Theory


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.



Chaos And Gauge Field Theory


Chaos And Gauge Field Theory
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Author : Tamas S Biro
language : en
Publisher: World Scientific
Release Date : 1995-03-07

Chaos And Gauge Field Theory written by Tamas S Biro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-07 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.



Discrete Gauge Theory


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.



Under The Spell Of The Gauge Principle


Under The Spell Of The Gauge Principle
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Author : G. 't Hooft
language : en
Publisher: World Scientific
Release Date : 1994

Under The Spell Of The Gauge Principle written by G. 't Hooft 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.


Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight ? together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).



Non Perturbative Quantum Field Theory Mathematical Aspects And Applications


Non Perturbative Quantum Field Theory Mathematical Aspects And Applications
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Author : Jurg Frohlich
language : en
Publisher: World Scientific
Release Date : 1992-04-29

Non Perturbative Quantum Field Theory Mathematical Aspects And Applications written by Jurg Frohlich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04-29 with categories.


Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.



Spatio Temporal Chaos And Vacuum Fluctuations Of Quantized Fields


Spatio Temporal Chaos And Vacuum Fluctuations Of Quantized Fields
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Author : Christian Beck
language : en
Publisher: World Scientific
Release Date : 2002

Spatio Temporal Chaos And Vacuum Fluctuations Of Quantized Fields written by Christian Beck and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


"This book deals with new applications for coupled map lattices in quantum field theories and elementary particle physics"--P. xiii.



From Integrable Models To Gauge Theories


From Integrable Models To Gauge Theories
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Author : V. G. Gurzadyan
language : en
Publisher: World Scientific
Release Date : 2002

From Integrable Models To Gauge Theories written by V. G. Gurzadyan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


"This collection of 20 articles in honour of the noted physicist and mentor Sergei Matinyan focuses on topics that are of fundamental importance to high-energy physics, field theory and cosmology. The topics range from integrable quantum field theories, three-dimensional Ising models, parton models and tests of the Standard Model, to black holes in loop quantum gravity, the cosmological constant and magnetic fields in cosmology. A pedagogical essay by Lev Okun concentrates on the problem of fundamental units. The articles have been written by experts and are addressed to graduate students and researchers."--[Source inconnue].



Gauge Fields Knots And Gravity


Gauge Fields Knots And Gravity
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Author : John C Baez
language : en
Publisher: World Scientific Publishing Company
Release Date : 1994-10-24

Gauge Fields Knots And Gravity written by John C Baez 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 1994-10-24 with Science categories.


This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.



An Elementary Primer For Gauge Theory


An Elementary Primer For Gauge Theory
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Author : K. Moriyasu
language : en
Publisher: World Scientific
Release Date : 1983

An Elementary Primer For Gauge Theory written by K. Moriyasu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Technology & Engineering categories.


Gauge theory is now recognized as one of the most revolutionary discoveries in physics since the development of quantum mechanics. This primer explains how and why gauge theory has dramatically changed our view of the fundamental forces of nature. The text is designed for the non-specialist. A new, intuitive approach is used to make the ideas of gauge theory accessible to both scientists and students with only a background in quantum mechanics. Emphasis is placed on the physics rather than the formalism.



Classical And Quantum Electrodynamics And The B 3 Field


Classical And Quantum Electrodynamics And The B 3 Field
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Author : Lawrence Barr Crowell
language : en
Publisher: World Scientific
Release Date : 2001-05-11

Classical And Quantum Electrodynamics And The B 3 Field written by Lawrence Barr Crowell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-11 with Science categories.


It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field.