Methods of Contemporary Gauge Theory

Klappentext 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. Zusammenfassung This 2002 book provides a thorough introduction to quantum theory of gauge fields! with emphasis on non-perturbative methods. Suitable as a textbook for advanced graduate courses in quantum field theory! it will also be of interest to researchers in high energy theory and condensed matter physics. Inhaltsverzeichnis Preface; 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.

Product details

• Authors: Yuri Makeenko, Yuri (Institute of Theoretical and Exper Makeenko, Makeenko Yuri
• Assisted by: P. V. Landshoff (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 03.11.2005
• EAN: 9780521022156
• ISBN: 978-0-521-02215-6
• No. of pages: 432
• Series: Cambridge Monographs on Mathem; Cambridge Monographs on Mathem
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Atomic physics, nuclear physics