Methods of Contemporary Gauge Theory

Yuri Makkenko

418 pages, parution le 06/08/2002

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Résumé

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.

Contents

Part I. Path Integrals
1. Operator calculus
2. Second quantization
3. Quantum anomalies from path integral
4. Instantons in quantum mechanics

Part II. Lattice Gauge Theories
5. Observables in gauge theories
6. Gauge fields on a lattice
7. Lattice methods
8. Fermions on a lattice
9. Finite temperatures

Part III. 1/N Expansion
10. O(N) vector models
11. Multicolor QCD
12. QCD in loop space
13. Matrix models

Part IV. Reduced Models
14. Eguchi-Kawai model
15. Twisted reduced models
16. Non-commutative gauge theories.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Yuri Makkenko
Parution	06/08/2002
Nb. de pages	418
Format	18 x 25,5
Couverture	Relié
Poids	905g
Intérieur	Noir et Blanc
EAN13	9780521809115
ISBN13	978-0-521-80911-5