Chaos And Gauge Field Theory

Author : T S Biró,S G Matinyan,B Müller
Publisher : World Scientific
Page : 300 pages
File Size : 47,6 Mb
Release : 1995-03-07
Category : Science
ISBN : 9789814501156

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Chaos and Gauge Field Theory by T S Biró,S G Matinyan,B Müller Pdf

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. Contents:IntroductionChaotic DynamicsChaos in Gauge TheoryTopological Field TheoriesLattice Gauge TheoryHamiltonian Lattice Gauge TheoryComputing SU(2) Gauge TheoryChaos in Lattice Gauge TheoryApplications and ExtensionsBeyond the Classical TheoryChaos and Confinement Readership: Nonlinear scientists, high energy physicists, mathematicians and engineers. keywords:Non-Abelian Gauge Fields;Periodic Orbits;Lyapunov Exponents;Classical and Quantum Yang–Mills Mechanics;Higgs Mechanism;Self-Thermalization via Chaos;Chaos and Confinement;Quark-Gluon Plasma;Lattice Gauge Theory;Monte Carlo Methods;Physics;Field Theory;Chaos;Gauge;Lattice;Thermalization;Entropy;Computing “This book is a good place to approach the research area of chaos applied to gauge field theories.” Mathematical Reviews

Author : D. Bailin,Alexander Love
Publisher : CRC Press
Page : 390 pages
File Size : 49,8 Mb
Release : 1993-01-01
Category : Science
ISBN : 075030281X

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Introduction to Gauge Field Theory Revised Edition by D. Bailin,Alexander Love Pdf

Introduction to Gauge Field Theory provides comprehensive coverage of modern relativistic quantum field theory, emphasizing the details of actual calculations rather than the phenomenology of the applications. Forming a foundation in the subject, the book assumes knowledge of relativistic quantum mechanics, but not of quantum field theory. The book is ideal for graduate students, advanced undergraduates, and researchers in the field of particle physics.

Author : L. D. Faddeev
Publisher : CRC Press
Page : 236 pages
File Size : 49,8 Mb
Release : 2018-03-05
Category : Science
ISBN : 9780429962370

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Gauge Fields by L. D. Faddeev Pdf

First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Author : Heinz J Rothe
Publisher : World Scientific Publishing Company
Page : 608 pages
File Size : 42,9 Mb
Release : 2005-06-17
Category : Science
ISBN : 9789813102095

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Lattice Gauge Theories by Heinz J Rothe Pdf

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 numerous figures.

Author : Mike Guidry
Publisher : Wiley-VCH
Page : 620 pages
File Size : 52,9 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617364

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Gauge Field Theories by Mike Guidry Pdf

Acquaints readers with the main concepts and literature of elementary particle physics and quantum field theory. In particular, the book is concerned with the elaboration of gauge field theories in nuclear physics; the possibility of creating fundamental new states of matter such as an extended quark-gluon plasma in ultra-relativistic heavy ion collisions; and the relation of gauge theories to the creation and evolution of the universe. Divided into three parts, it opens with an introduction to the general principles of relativistic quantum field theory followed by the essential ingredients of gauge fields for weak and electromagnetic interactions, quantum chromodynamics and strong interactions. The third part is concerned with the interface between modern elementary particle physics and "applied disciplines" such as nuclear physics, astrophysics and cosmology. Includes references and numerous exercises.

Author : Stefan Pokorski
Publisher : Cambridge University Press
Page : 636 pages
File Size : 43,5 Mb
Release : 2000-03-13
Category : Science
ISBN : 0521478162

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Gauge Field Theories by Stefan Pokorski Pdf

An expanded and up-dated book examining gauge theories and their symmetries.

Author : David Bailin
Publisher : Unknown
Page : 348 pages
File Size : 45,7 Mb
Release : 1986
Category : Gauge fields (Physics)
ISBN : OCLC:439988210

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Introduction to Gauge Field Theory by David Bailin Pdf

Author : D. Bailin,A. Love
Publisher : CRC Press
Page : 312 pages
File Size : 52,8 Mb
Release : 2021-09-29
Category : Science
ISBN : 9781420057003

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Cosmology in Gauge Field Theory and String Theory by D. Bailin,A. Love Pdf

Cosmology in Gauge Field Theory and String Theory focuses on the cosmological implications of the gauge theories of particle physics and of string theory. The book first examines the universe's series of phase transitions in which the successive gauge symmetries of the higher-temperature phase were spontaneously broken after the big bang, discussing relics of these phase transitions, more generic relics (baryons, neutrinos, axions), and supersymmetric particles (neutralinos and gravitinos). The author next studies supersymmetric theory, supergravity theory, and the constraints on the underlying field theory of the universe's inflationary era. The book concludes with a discussion of black hole solutions of the supergravity theory that approximates string theory at low energies and the insight that string theory affords into the microscopic origin of the Bekenstein-Hawking entropy. Cosmology in Gauge Field Theory and String Theory provides a modern introduction to these important problems from a particle physicist's perspective. It is intended as an introductory textbook for a first course on the subject at a graduate level.

Author : Gerard 'T Hooft
Publisher : World Scientific
Page : 697 pages
File Size : 48,5 Mb
Release : 1994-08-26
Category : Science
ISBN : 9789814504508

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Under The Spell Of The Gauge Principle by Gerard 'T Hooft Pdf

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).

Author : Nikos G. Antoniou,Fotis K. Diakonos,Christos Nicolas Ktorides
Publisher : World Scientific
Page : 423 pages
File Size : 48,7 Mb
Release : 2003
Category : Science
ISBN : 9789812384553

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Correlations & Fluctuations in QCD by Nikos G. Antoniou,Fotis K. Diakonos,Christos Nicolas Ktorides Pdf

This book contains a wide spectrum of articles which report the current research progress in topics concerning the dynamics of multiparticle production in high energy collision processes, with emphasis on nonperturbative aspects of QCD. The topics covered are: the phase diagram of QCD and related transitions; correlations and fluctuations in a variety of experiments involving multiparticle production (e+e- annihilation, pp collisions and heavy ion collisions); recent theoretical and experimental developments in interferometry and particle correlations; event-by-event fluctuations in high energy experiments; concepts of chaos and complexity in multiparticle dynamics and related phenomenology; relevant theoretical ideas based on QCD as a field theory.

Author : Gunter Scharf
Publisher : Courier Dover Publications
Page : 320 pages
File Size : 55,5 Mb
Release : 2016-07-20
Category : Science
ISBN : 9780486815145

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Gauge Field Theories: Spin One and Spin Two by Gunter Scharf Pdf

One of the main problems of theoretical physics concerns the unification of gravity with quantum theory. This monograph examines unification by means of the appropriate formulation of quantum gauge invariance. Suitable for advanced undergraduates and graduate students of physics, the treatment requires a basic knowledge of quantum mechanics. Opening chapters introduce the free quantum fields and prepare the field for the gauge structure, describing the inductive construction of the time-ordered products by causal perturbation theory. The analysis of causal gauge invariance follows, with considerations of massless and massive spin-1 gauge fields. Succeeding chapters explore the construction of spin-2 gauge theories, concluding with an examination of nongeometric general relativity that offers an innovate approach to gravity and cosmology.

Author : S. G. Matinyan,V. G. Gurzadyan,Ara G. Sedrakian
Publisher : World Scientific
Page : 327 pages
File Size : 41,9 Mb
Release : 2002
Category : Science
ISBN : 9789810249274

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From Integrable Models to Gauge Theories by S. G. Matinyan,V. G. Gurzadyan,Ara G. Sedrakian Pdf

"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].

Author : Heinz J Rothe
Publisher : World Scientific
Page : 397 pages
File Size : 53,9 Mb
Release : 1992-01-29
Category : Electronic
ISBN : 9789814602303

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Lattice Gauge Theories: An Introduction by Heinz J Rothe Pdf

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.

Author : Tamás Sándor Biró,Antal Jakovác
Publisher : Springer
Page : 109 pages
File Size : 42,9 Mb
Release : 2019-02-07
Category : Science
ISBN : 9783030116897

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Emergence of Temperature in Examples and Related Nuisances in Field Theory by Tamás Sándor Biró,Antal Jakovác Pdf

Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face. One such challenge is to understand the emergence of complexity in the behavior of interacting elementary fields, including among other things nontrivial phase structures of elementary matter at high energy density or an atypical emergence of statistical properties, e.g., when an apparent temperature is proportional to a constant acceleration in a homogeneous gravitational field. Most modern textbooks on thermal field theory are mainly concerned with how the field theory formalism should be used if a finite temperature is given. In contrast, this short primer explores how the phenomenon of temperature emerges physically for elementary fields - inquiring about the underlying kinetic field theory and the way energy fluctuations and other noise should be handled - and it investigates whether and how this harmonizes with traditional field theory concepts like spectral evolution, the Keldysh formalism, and phase transitions.

Author : D Bailin,A Love
Publisher : Routledge
Page : 390 pages
File Size : 43,5 Mb
Release : 2019-01-22
Category : Science
ISBN : 9781351436991

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Introduction to Gauge Field Theory Revised Edition by D Bailin,A Love Pdf

Introduction to Gauge Field Theory provides comprehensive coverage of modern relativistic quantum field theory, emphasizing the details of actual calculations rather than the phenomenology of the applications. Forming a foundation in the subject, the book assumes knowledge of relativistic quantum mechanics, but not of quantum field theory. The book