Gauge Fields

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Gauge Fields and Strings

A. M. Polyakov
Gauge Fields and Strings Book PDF

Author : A. M. Polyakov
Publisher : Routledge
Page : 312 pages
File Size : 49,7 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9781351446099

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Gauge Fields and Strings by A. M. Polyakov Pdf

Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global 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 : 54,8 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.

Gauge Field Theories

Mike Guidry
Gauge Field Theories Book PDF

Author : Mike Guidry
Publisher : John Wiley & Sons
Page : 620 pages
File Size : 50,7 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.

Quarks, Leptons & Gauge Fields

Kerson Huang
Quarks Leptons Gauge Fields Book PDF

Author : Kerson Huang
Publisher : World Scientific
Page : 372 pages
File Size : 53,7 Mb
Release : 1992
Category : Science
ISBN : 9810206593

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Quarks, Leptons & Gauge Fields by Kerson Huang Pdf

This is perhaps the most up-to-date book on Modern Elementary Particle Physics. The main content is an introduction to Yang-Mills fields, and the Standard Model of Particle Physics. A concise introduction to quarks is provided, with a discussion of the representations of SU(3).The Standard Model is presented in detail, including such topics as the Kobayashi-Maskawa matrix, chiral symmetry breaking, and the ?-vacuum. Theoretical topics of a more general nature include path integrals, topological solitons, renormalization group, effective potentials, the axial anomaly, and lattice gauge theory.This second edition, which has been expanded, incorporates the following new subjects: Wilson's renormalization scheme, and its relation to perturbative renormalization; pitfalls in quantizing gauge fields, such as the Gribov ambiguity; the lattice as a consistent regularization; Monte Carlo methods of solution; and the issues, folklores, and scenarios of quark confinement. More than a quarter of the book comprise of new materials.This book may be used as a text for a one-semester course on advanced quantum field theory, or reference book for particle physicists.

Topology, Geometry, and Gauge Fields

Gregory L. Naber
Topology Geometry and Gauge Fields Book PDF

Author : Gregory L. Naber
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 43,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475727425

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Topology, Geometry, and Gauge Fields by Gregory L. Naber Pdf

Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. The reader is asked to join the author on some vague notion of what an electromagnetic field might be, to be willing to accept a few of the more elementary pronouncements of quantum mechanics, and to have a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. In return, the book offers an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.

Gauge Field Theory and Complex Geometry

Yuri I. Manin
Gauge Field Theory and Complex Geometry Book PDF

Author : Yuri I. Manin
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 49,6 Mb
Release : 1997-05-20
Category : Mathematics
ISBN : 3540613781

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Gauge Field Theory and Complex Geometry by Yuri I. Manin Pdf

From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.

Geometrodynamics of Gauge Fields

Eckehard W. Mielke
Geometrodynamics of Gauge Fields Book PDF

Author : Eckehard W. Mielke
Publisher : Springer
Page : 377 pages
File Size : 44,8 Mb
Release : 2017-01-22
Category : Science
ISBN : 9783319297347

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Geometrodynamics of Gauge Fields by Eckehard W. Mielke Pdf

This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.

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 : 51,9 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.

Topology of Gauge Fields and Condensed Matter

M. Monastyrsky
Topology of Gauge Fields and Condensed Matter Book PDF

Author : M. Monastyrsky
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 52,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781489924032

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Topology of Gauge Fields and Condensed Matter by M. Monastyrsky Pdf

''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and liquid crystals.

Gauge Fields

L. D. Faddeev
Gauge Fields Book PDF

Author : L. D. Faddeev
Publisher : CRC Press
Page : 106 pages
File Size : 47,6 Mb
Release : 2018-03-05
Category : Science
ISBN : 9780429973451

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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.

The Theory of Gauge Fields in Four Dimensions

H. Blaine Lawson
The Theory of Gauge Fields in Four Dimensions Book PDF

Author : H. Blaine Lawson
Publisher : American Mathematical Soc.
Page : 101 pages
File Size : 43,5 Mb
Release : 1985
Category : Mathematics
ISBN : 9780821807088

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The Theory of Gauge Fields in Four Dimensions by H. Blaine Lawson Pdf

Lawson's expository lectures, presented at a CBMS Regional Conference held in Santa Barbara in August 1983, provide an indepth examination of the recent work of Simon Donaldson, and is of special interest to both geometric topologists and differential geometers. This work has excited particular interest, in light of Mike Freedman's recent profound results: the complete classification, in the simply connected case, of compact topological 4-manifolds.Arguing from deep results in gauge field theory, Donaldson has proved the nonexistence of differentiable structures on certain compact 4-manifolds. Together with Freedman's results, Donaldson's work implies the existence of exotic differentiable structures in $\mathbb R^4$-a wonderful example of the results of one mathematical discipline yielding startling consequences in another. The lectures are aimed at mature mathematicians with some training in both geometry and topology, but they do not assume any expert knowledge. In addition to a close examination of Donaldson's arguments, Lawson also presents, as background material, the foundation work in gauge theory (Uhlenbeck, Taubes, Atiyah, Hitchin, Singer, et al.) which underlies Donaldson's work.

Gauge Fields and Strings

Polyakov
Gauge Fields and Strings Book PDF

Author : Polyakov
Publisher : Routledge
Page : 118 pages
File Size : 44,8 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9781351446082

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Gauge Fields and Strings by Polyakov Pdf

Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.

Fundamental Forces of Nature

Kerson Huang
Fundamental Forces of Nature Book PDF

Author : Kerson Huang
Publisher : World Scientific
Page : 285 pages
File Size : 44,9 Mb
Release : 2007
Category : Science
ISBN : 9789812706447

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Fundamental Forces of Nature by Kerson Huang Pdf

Gauge fields are the messengers carrying signals between elementary particles, enabling them to interact with each other. Originating at the level of quarks, these basic interactions percolate upwards, through nuclear and atomic physics, through chemical and solid state physics, to make our everyday world go round. This book tells the story of gauge fields, from Maxwell's 1860 theory of electromagnetism to the 1954 theory of Yang and Mills that underlies the Standard Model of elementary particle theory. In the course of the narration, the author introduces people and events in experimental and theoretical physics that contribute to ideas that have shaped our conception of the physical world.

Gauge Fields, Knots and Gravity

John Baez,Javier P Muniain
Gauge Fields Knots and Gravity Book PDF

Author : John Baez,Javier P Muniain
Publisher : World Scientific Publishing Company
Page : 480 pages
File Size : 53,5 Mb
Release : 1994-10-24
Category : Science
ISBN : 9789813103245

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Gauge Fields, Knots and Gravity by John Baez,Javier P Muniain Pdf

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.

Quarks, Leptons and Gauge Fields

Kerson Huang
Quarks Leptons and Gauge Fields Book PDF

Author : Kerson Huang
Publisher : World Scientific Publishing Company
Page : 348 pages
File Size : 41,9 Mb
Release : 1992-10-28
Category : Science
ISBN : 9789813103481

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Quarks, Leptons and Gauge Fields by Kerson Huang Pdf

This is perhaps the most up-to-date book on Modern Elementary Particle Physics. The main content is an introduction to Yang-Mills fields, and the Standard Model of Particle Physics. A concise introduction to quarks is provided, with a discussion of the representations of SU(3). The Standard Model is presented in detail, including such topics as the Kobayashi-Maskawa matrix, chiral symmetry breaking, and the θ-vacuum. Theoretical topics of a more general nature include path integrals, topological solitons, renormalization group, effective potentials, the axial anomaly, and lattice gauge theory. This second edition, which has been expanded, incorporates the following new subjects: Wilson's renormalization scheme, and its relation to perturbative renormalization; pitfalls in quantizing gauge fields, such as the Gribov ambiguity; the lattice as a consistent regularization; Monte Carlo methods of solution; and the issues, folklores, and scenarios of quark confinement. More than a quarter of the book comprise of new materials. This book may be used as a text for a one-semester course on advanced quantum field theory, or reference book for particle physicists.