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

Author:   Marcos Mariño (Université de Genève)
Publisher:   Cambridge University Press
ISBN:  

9781107068520


Pages:   376
Publication Date:   03 September 2015
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Instantons and Large N: An Introduction to Non-Perturbative Methods in Quantum Field Theory


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Overview

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.

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Author:   Marcos Mariño (Université de Genève)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 17.80cm , Height: 2.20cm , Length: 25.30cm
Weight:   0.900kg
ISBN:  

9781107068520


ISBN 10:   1107068525
Pages:   376
Publication Date:   03 September 2015
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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Author Information

Marcos Mariño is Professor of Theoretical Physics and Mathematics at the University of Geneva where his research interests include string theory, mathematical physics and non-perturbative methods in quantum field theory.

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