Classical Theory of Gauge Fields. (Record no. 78226)

MARC details
000 -LEADER
fixed length control field 07796nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC457739
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20191126104829.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191125s2002 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400825097
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780691059273
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC457739
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL457739
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10312511
035 ## - SYSTEM CONTROL NUMBER
System control number (CaONFJC)MIL215923
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)609845343
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC793.3.G38 -- R8313 2002eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.14/35
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Rubakov, Valery.
9 (RLIN) 60428
245 10 - TITLE STATEMENT
Title Classical Theory of Gauge Fields.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Princeton :
Name of producer, publisher, distributor, manufacturer Princeton University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2002.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2002.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (457 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Contents -- Preface -- Part I -- 1 Gauge Principle in Electrodynamics -- 1.1 Electromagnetic-field action in vacuum -- 1.2 Gauge invariance -- 1.3 General solution of Maxwell's equations in vacuum -- 1.4 Choice of gauge -- 2 Scalar and Vector Fields -- 2.1 System of units h = c=1 -- 2.2 Scalar field action -- 2.3 Massive vector field -- 2.4 Complex scalar field -- 2.5 Degrees of freedom -- 2.6 Interaction of fields with external sources -- 2.7 Interacting fields. Gauge-invariant interaction in scalar electrodynamics -- 2.8 Noether's theorem -- 3 Elements of the Theory of Lie Groups and Algebras -- 3.1 Groups -- 3.2 Lie groups and algebras -- 3.3 Representations of Lie groups and Lie algebras -- 3.4 Compact Lie groups and algebras -- 4 Non-Abelian Gauge Fields -- 4.1 Non-Abelian global symmetries -- 4.2 Non-Abelian gauge invariance and gauge fields: the group SU(2) -- 4.3 Generalization to other groups -- 4.4 Field equations -- 4.5 Cauchy problem and gauge conditions -- 5 Spontaneous Breaking of Global Symmetry -- 5.1 Spontaneous breaking of discrete symmetry -- 5.2 Spontaneous breaking of global U(1) symmetry. Nambu-Goldstone bosons -- 5.3 Partial symmetry breaking: the SO(3)model -- 5.4 General case. Goldstone's theorem -- 6 Higgs Mechanism -- 6.1 Example of an Abelian model -- 6.2 Non-Abelian case: model with complete breaking of SU(2) symmetry -- 6.3 Example of partial breaking of gauge symmetry: bosonic sector of standard electroweak theory -- Supplementary Problems for Part I -- Part II -- 7 The Simplest Topological Solitons -- 7.1 Kink -- 7.2 Scale transformations and theorems on the absence of solitons -- 7.3 The vortex -- 7.4 Soliton in a model of n-field in (2 + 1)-dimensional space-time -- 8 Elements of Homotopy Theory -- 8.1 Homotopy of mappings -- 8.2 The fundamental group -- 8.3 Homotopy groups.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 8.4 Fiber bundles and homotopy groups -- 8.5 Summary of the results -- 9 Magnetic Monopoles -- 9.1 The soliton in a model with gauge group SU(2) -- 9.2 Magnetic charge -- 9.3 Generalization to other models -- 9.4 The limit mH/mV → 0 -- 9.5 Dyons -- 10 Non-Topological Solitons -- 11 Tunneling and Euclidean Classical Solutions in Quantum Mechanics -- 11.1 Decay of a metastable state in quantum mechanics of one variable -- 11.2 Generalization to the case of many variables -- 11.3 Tunneling in potentials with classical degeneracy -- 12 Decay of a False Vacuum in Scalar Field Theory -- 12.1 Preliminary considerations -- 12.2 Decay probability: Euclidean bubble (bounce) -- 12.3 Thin-wall approximation -- 13 Instantons and Sphalerons in Gauge Theories -- 13.1 Euclidean gauge theories -- 13.2 Instantons in Yang-Mills theory -- 13.3 Classical vacua and θ-vacua -- 13.4 Sphalerons in four-dimensional models with the Higgs mechanism -- Supplementary Problems for Part II -- Part III -- 14 Fermions in Background Fields -- 14.1 Free Dirac equation -- 14.2 Solutions of the free Dirac equation. Dirac sea -- 14.3 Fermions in background bosonic fields -- 14.4 Fermionic sector of the Standard Model -- 15 Fermions and Topological External Fields in Two-dimensional Models -- 15.1 Charge fractionalization -- 15.2 Level crossing and non-conservation of fermion quantum numbers -- 16 Fermions in Background Fields of Solitons and Strings in Four-Dimensional Space-Time -- 16.1 Fermions in a monopole background field: integer angular momentum and fermion number fractionalization -- 16.2 Scattering of fermions off a monopole: non-conservation of fermion numbers -- 16.3 Zero modes in a background field of a vortex: superconducting strings -- 17 Non-Conservation of Fermion Quantum Numbers in Four-dimensional Non-Abelian Theories.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 17.1 Level crossing and Euclidean fermion zero modes -- 17.2 Fermion zero mode in an instanton field -- 17.3 Selection rules -- 17.4 Electroweak non-conservation of baryon and lepton numbers at high temperatures -- Supplementary Problems for Part III -- Appendix. Classical Solutions and the Functional Integral -- A.1 Decay of the false vacuum in the functional integral formalism -- A.2 Instanton contributions to the fermion Green's functions -- A.3 Instantons in theories with the Higgs mechanism. Integration along valleys -- A.4 Growing instanton cross sections -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- P -- Q -- R -- S -- T -- W -- Y -- Z.
520 ## - SUMMARY, ETC.
Summary, etc. 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.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Gauge fields (Physics).
9 (RLIN) 60429
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
9 (RLIN) 60430
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Wilson, Stephen S.
9 (RLIN) 60431
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Wilson, Stephen S. S.
9 (RLIN) 60432
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Rubakov, Valery
Title Classical Theory of Gauge Fields
Place, publisher, and date of publication Princeton : Princeton University Press,c2002
International Standard Book Number 9780691059273
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=457739">https://ebookcentral.proquest.com/lib/thebc/detail.action?docID=457739</a>
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