Methods of Contemporary Gauge Theory

ISBN-13: 9781009402101 / Miękka / 2023

Mos Yuri (Institute of Theoretical and Experimental Physics

Opis

Introduces the quantum theory of gauge fields through four non-perturbative methods with important applications; reissued as Open Access.

Spis treści

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.