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Cambridge Monographs on Mathematical Physics : Methods of Contemporary Gauge Theory - Yuri Makeenko

Cambridge Monographs on Mathematical Physics

Methods of Contemporary Gauge Theory


Published: 26th August 2002
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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.

' ... the book is a valuable source of information on recent developments for advanced students.' Zentralblatt fur Mathematik und ihre Grenzgebiete Mathematics Abstracts

Path Integrals
Operator calculus
Second quantization
Quantum anomalies from path integral
Instantons in quantum mechanics
Lattice Gauge Theories
Observables in gauge theories
Gauge fields on a lattice
Lattice methods
Fermions on a lattice
Finite temperatures
1/N Expansion
O(N) vector models
Multicolor QCD
QCD in loop space
Matrix models
Reduced Models
EguchiâÇôKawai model
Twisted reduced models
Non-commutative gauge theories
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521809115
ISBN-10: 0521809118
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 432
Published: 26th August 2002
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.4 x 17.0  x 2.4
Weight (kg): 0.89