The Resource Methods of contemporary gauge theory, Yuri Makeenko

Methods of contemporary gauge theory, Yuri Makeenko

Label
Methods of contemporary gauge theory
Title
Methods of contemporary gauge theory
Statement of responsibility
Yuri Makeenko
Creator
Subject
Language
eng
Summary
This book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses a modern approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge theory
Member of
Cataloging source
REDDC
Dewey number
530.14/35
Illustrations
illustrations
Index
index present
LC call number
QC793.3.G38
LC item number
M35 2002eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Cambridge monographs on mathematical physics
Label
Methods of contemporary gauge theory, Yuri Makeenko
Publication
Bibliography note
Includes bibliographical references (pages 405-410) and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Propagators in external field
  • Second quantization
  • Integration over fields
  • Grassmann variables
  • Perturbation theory
  • Schwinger-Dyson equations
  • Commutator terms
  • Schwinger-Dyson equations (continued)
  • Regularization
  • Quantum anomalies from path integral
  • Path Integrals
  • QED via path integral
  • Chiral Ward identity
  • Chiral anomaly
  • Chiral anomaly (calculation)
  • Scale anomaly
  • Instantons in quantum mechanics
  • Double-well potential
  • The instanton solution
  • Instanton contribution to path integral
  • Symmetry restoration by instantons
  • Operator calculus
  • Topological charge and [theta]-vacua
  • Lattice Gauge Theories
  • Observables in gauge theories
  • Gauge invariance
  • Phase factors (definition)
  • Phase factors (properties)
  • Aharonov-Bohm effect
  • Gauge fields on a lattice
  • Sites, links, plaquettes and all that
  • Lattice formulation
  • Free propagator
  • The Haar measure
  • Wilson loops
  • Strong-coupling expansion
  • Area law and confinement
  • Asymptotic scaling
  • Lattice methods
  • Phase transitions
  • Mean-field method
  • Mean-field method (variational)
  • Lattice renormalization group
  • Euclidean formulation
  • Monte Carlo method
  • Some Monte Carlo results
  • Fermions on a lattice
  • Chiral fermions
  • Fermion doubling
  • Kogut-Susskind fermions
  • Wilson fermions
  • Quark condensate
  • Finite temperatures
  • Feynman-Kac formula
  • Path-ordering of operators
  • Feynman disentangling
  • Calculation of the Gaussian path integral
  • Transition amplitudes
Control code
ocm70755787
Dimensions
unknown
Extent
1 online resource (xii, 417 pages)
Form of item
online
Isbn
9780511064012
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations
http://library.link/vocab/recordID
.b21993397
Specific material designation
remote
System control number
  • (OCoLC)70755787
  • acaebk0511057687

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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