Introduction To Gauge Field Theories

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Introduction to Gauge Field Theories

M. Chaichian,N. F. Nelipa
Introduction to Gauge Field Theories Book PDF

Author : M. Chaichian,N. F. Nelipa
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642821776

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Introduction to Gauge Field Theories by M. Chaichian,N. F. Nelipa Pdf

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.

Introduction to Gauge Field Theory Revised Edition

D. Bailin,Alexander Love
Introduction to Gauge Field Theory Revised Edition Book PDF

Author : D. Bailin,Alexander Love
Publisher : CRC Press
Page : 390 pages
File Size : 53,7 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.

Gauge Field Theories

Mike Guidry
Gauge Field Theories Book PDF

Author : Mike Guidry
Publisher : John Wiley & Sons
Page : 620 pages
File Size : 52,6 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.

An Informal Introduction to Gauge Field Theories

Ian J. R. Aitchison
An Informal Introduction to Gauge Field Theories Book PDF

Author : Ian J. R. Aitchison
Publisher : Cambridge University Press
Page : 192 pages
File Size : 53,6 Mb
Release : 2007-09-27
Category : Mathematics
ISBN : 0521039541

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An Informal Introduction to Gauge Field Theories by Ian J. R. Aitchison Pdf

Four forces are dominant in physics: gravity, electromagnetism and the weak and strong nuclear forces. Quantum electrodynamics - the highly successful theory of the electromagnetic interaction - is a gauge field theory. In this short book Dr Aitchison gives an introduction to these theories, a knowledge of which is essential in understanding modern particle physics.

An Introduction to Gauge Theories

Nicola Cabibbo,Luciano Maiani,Omar Benhar
An Introduction to Gauge Theories Book PDF

Author : Nicola Cabibbo,Luciano Maiani,Omar Benhar
Publisher : CRC Press
Page : 304 pages
File Size : 53,8 Mb
Release : 2017-07-28
Category : Science
ISBN : 9781498734523

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An Introduction to Gauge Theories by Nicola Cabibbo,Luciano Maiani,Omar Benhar Pdf

Written by world-leading experts in particle physics, this new book from Luciano Maiani and Omar Benhar, with contributions from the late Nicola Cabibbo, is based on Feynman’s path integrals. Key elements of gauge theories are described—Feynman diagrams, gauge-fixing, Faddeev-Popov ghosts—as well as renormalization in Quantum Electrodynamics. Quarks and QCD interactions are introduced. Renormalization group and high momentum behaviour of the coupling constants is discussed in QED and QCD, with asymptotic freedom derived at one-loop. These concepts are related to the Higgs boson and models of grand unification. "... an excellent introduction to the quantum theory of gauge fields and their applications to particle physics. ... It will be an excellent book for the serious student and a good reference for the professional practitioner. Let me add that, scattered through the pages, we can find occasional traces of Nicola Cabibbo's style." —John Iliopoulos, CNRS-Ecole Normale Supérieure " ... The volume ends with an illuminating description of the expectation generated by the recent discovery of the Higgs boson, combined with the lack of evidence for super-symmetric particles in the mass range 0.6-1 TeV." —Arturo Menchaca-Rocha, FinstP, Professor of Physics, Mexico’s National Autonomous University, Former President of the Mexican Academy of Sciences, Presidential Advisor "...The reader is masterfully guided through the subtleties of the quantum field theory and elementary particle physics from simple examples in Quantum Mechanics to salient details of modern theory." —Mikhail Voloshin, Professor of Physics, University of Minnesota

Lattice Gauge Theories: An Introduction

Heinz J Rothe
Lattice Gauge Theories An Introduction Book PDF

Author : Heinz J Rothe
Publisher : World Scientific
Page : 397 pages
File Size : 53,5 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.

Classical Theory of Gauge Fields

Valery Rubakov
Classical Theory of Gauge Fields Book PDF

Author : Valery Rubakov
Publisher : Princeton University Press
Page : 456 pages
File Size : 43,9 Mb
Release : 2009-02-09
Category : Science
ISBN : 9781400825097

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Classical Theory of Gauge Fields by Valery Rubakov Pdf

Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

Supersymmetric Gauge Field Theory and String Theory

D. Bailin,Alexander Love
Supersymmetric Gauge Field Theory and String Theory Book PDF

Author : D. Bailin,Alexander Love
Publisher : CRC Press
Page : 672 pages
File Size : 51,8 Mb
Release : 1994-01-01
Category : Science
ISBN : 1420050826

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Supersymmetric Gauge Field Theory and String Theory by D. Bailin,Alexander Love Pdf

Designed as a sequel to the authors' Introduction to Gauge Field Theory, Supersymmetric Gauge Field Theory and String Theory introduces first-year graduate students to supersymmetric theories, including supergravity and superstring theories. Starting with the necessary background in quantum field theory, the book covers the three key topics of high-energy physics. The emphasis is on practical calculations rather than abstract generalities or phenomenological results. Where possible, the authors show how to calculate, connecting the theoretical with the phenomenological. While the field continues to advance and grow, this book addresses the basic theory at the core and will likely remain relevant even if more advanced ideas change.

An Introduction To Quantum Field Theory

Michael E. Peskin
An Introduction To Quantum Field Theory Book PDF

Author : Michael E. Peskin
Publisher : CRC Press
Page : 866 pages
File Size : 50,6 Mb
Release : 2018-05-04
Category : Science
ISBN : 9780429983184

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An Introduction To Quantum Field Theory by Michael E. Peskin Pdf

An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

Cosmology in Gauge Field Theory and String Theory

D. Bailin,A. Love
Cosmology in Gauge Field Theory and String Theory Book PDF

Author : D. Bailin,A. Love
Publisher : CRC Press
Page : 332 pages
File Size : 45,6 Mb
Release : 2021-09-29
Category : Science
ISBN : 1420057006

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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.

An Introduction to Gauge Theories and Modern Particle Physics

Elliot Leader,Enrico Predazzi
An Introduction to Gauge Theories and Modern Particle Physics Book PDF

Author : Elliot Leader,Enrico Predazzi
Publisher : Cambridge University Press
Page : 468 pages
File Size : 48,6 Mb
Release : 1996-03-14
Category : Science
ISBN : 0521499518

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An Introduction to Gauge Theories and Modern Particle Physics by Elliot Leader,Enrico Predazzi Pdf

A comprehensive treatment of modern theoretical and experimental particle physics, in two volumes.

Mathematical Gauge Theory

Mark J.D. Hamilton
Mathematical Gauge Theory Book PDF

Author : Mark J.D. Hamilton
Publisher : Springer
Page : 658 pages
File Size : 46,8 Mb
Release : 2017-12-06
Category : Mathematics
ISBN : 9783319684390

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Mathematical Gauge Theory by Mark J.D. Hamilton Pdf

The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification. This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.

Gauge Field Theories

J. Leite Lopes
Gauge Field Theories Book PDF

Author : J. Leite Lopes
Publisher : Elsevier
Page : 501 pages
File Size : 44,8 Mb
Release : 2013-09-03
Category : Science
ISBN : 9781483278971

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Gauge Field Theories by J. Leite Lopes Pdf

Gauge Field Theories: An Introduction covers the basic notions and principles of gauge theories. This book is composed of 10 chapters that focus on the Salam-Weinberg model of electro-weak interactions of neutrino-lepton scattering, as well as the Parton model. The first chapter is an introduction to solitons and instantons, as well as the topological quantum numbers, subjects that arose from the study of the non-linear field equations in gauge theories. The succeeding chapters deal with the concept of gravitational field, electrodynamical systems, the Yang-mills gauge fields, and the Higgs mechanism. The remaining chapters highlight the speculations on possible lepton and quark structured. These chapters present the SU(5) model of grand unification. This book will prove useful to physics university and advanced high school students.

Chaos and Gauge Field Theory

T S Biró,S G Matinyan,B Müller
Chaos and Gauge Field Theory Book PDF

Author : T S Biró,S G Matinyan,B Müller
Publisher : World Scientific
Page : 300 pages
File Size : 45,9 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

Gauge Theory of Elementary Particle Physics

Ta-Pei Cheng,Ling-Fong Li
Gauge Theory of Elementary Particle Physics Book PDF

Author : Ta-Pei Cheng,Ling-Fong Li
Publisher : Oxford University Press
Page : 549 pages
File Size : 41,5 Mb
Release : 1994-08-02
Category : Science
ISBN : 9780192652249

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Gauge Theory of Elementary Particle Physics by Ta-Pei Cheng,Ling-Fong Li Pdf

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.