Methods of Contemporary Gauge Theory

This 2002 book is a thorough introduction to quantum theory of gauge fields, with emphasis on modern non-perturbative methods.

List of contents

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.

About the author

Yuri Makeenko received his PhD in theoretical and mathematical physics from the Institute of Theoretical and Experimental Physics (ITEP), Moscow. He has been a staff member at ITEP since 1983, and since 1993 has been a visiting professor at the Niels Bohr Institute, Copenhagen. He has given lecture courses at universities throughout Europe and has published numerous papers and review articles. Professor Makeenko has been working on non-perturbative quantum field theory since 1975. His research has covered four-dimensional conformal field theories and the 1/N-expansion of QCD, where he derived in 1979 an equation presently known as the Makeenko–Migdal equation or the 'loop equation', in collaboration with A.A. Migdal. In the early 1980s he explored lattice gauge theories, including the Monte Carlo simulations, and went on to work on matrix models and string theory in the 1990s. His subsequent work has focused on matrix theory and non-commutative gauge theories.

Product details

• Authors: Yuri Makeenko, Yuri (Institute of Theoretical and Exper Makeenko, Yuri (Institute of Theoretical and Experimental Physics Makeenko, Makeenko Yuri
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 01.07.2023
• EAN: 9781009402101
• ISBN: 978-1-0-0940210-1
• Series: Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Atomic physics, nuclear physics; Non-fiction book > Nature, technology > Astronomy: general, reference works; SCIENCE / Physics / General, Physics