Methods of Contemporary Gauge Theory

Publisher: Cambridge University Press
Number Of Pages: 400
Publication Date: 2002-06-15
Sales Rank: 2368261
ISBN / ASIN: 0521809118
EAN: 9780521809115
Binding: Hardcover
Manufacturer: Cambridge University Press
Studio: Cambridge University Press
This book provides a thorough introduction to 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, which have important contemporary applications. The book uses a novel approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and provides comprehensive coverage of large-N Yang-Mills theory.
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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.