Description: Instantons and Large N An Introduction to Non-Perturbative Methods in Quantum Field Theory A highly pedagogical textbook for graduate students, exploring advanced topics of quantum field theory with detailed derivations and worked examples. Marcos Mariño (Author) 9781107068520, Cambridge University Press Hardback, published 3 September 2015 376 pages 25.3 x 17.8 x 2.2 cm, 0.9 kg This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang–Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory. 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. Subject Areas: Mathematical physics [PHU], Particle & high-energy physics [PHP], Nuclear physics [PHN], Physics [PH], Mathematics & science [P]
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BIC Subject Area 1: Mathematical physics [PHU]
BIC Subject Area 2: Particle & high-energy physics [PHP]
BIC Subject Area 3: Nuclear physics [PHN]
BIC Subject Area 4: Physics [PH]
BIC Subject Area 5: Mathematics & science [P]
Number of Pages: 376 Pages
Publication Name: Instantons and Large N: an Introduction to Non-Perturbative Methods in Quantum Field Theory
Language: English
Publisher: Cambridge University Press
Item Height: 253 mm
Subject: Physics
Publication Year: 2015
Type: Textbook
Item Weight: 900 g
Author: Marcos Marino
Item Width: 178 mm
Format: Hardcover
