Instantons and Large N: An Introduction to Non-Perturbative Methods in Quantum Field Theory

ISBN-13: 9781107068520 / Angielski / Twarda / 2015 / 376 str.

Marcos Marino

Opis

Highly pedagogical textbook for graduate students, exploring advanced topics of quantum field theory with detailed derivations and worked examples.

Spis treści

Preface; Part I. Instantons: 1. Instantons in quantum mechanics; 2. Unstable vacua in quantum field theory; 3. Large order behavior and Borel summability; 4. Non-perturbative aspects of Yang–Mills theories; 5. Instantons and fermions; Part II. Large N: 6. Sigma models at large N; 7. The 1=N expansion in QCD; 8. Matrix models and matrix quantum mechanics at large N; 9. Large N QCD in two dimensions; 10. Instantons at large N; Appendix A. Harmonic analysis on S3; Appendix B. Heat kernel and zeta functions; Appendix C. Effective action for large N sigma models; References; Author index; Subject index.