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

£67.99

  • Date Published: September 2015
  • availability: In stock
  • format: Hardback
  • isbn: 9781107068520

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  • 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.

    • The instructional focus and clear presentation provides more detail than standard textbooks, enabling students to learn the technicalities of the subject
    • Contains many simplified models and step-by-step working to provide concrete examples for students
    • Compiles material such as large order behaviour in perturbation theory and large N instantons not discussed in other textbooks on the subject
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    Product details

    • Date Published: September 2015
    • format: Hardback
    • isbn: 9781107068520
    • length: 376 pages
    • dimensions: 255 x 174 x 22 mm
    • weight: 0.9kg
    • contains: 67 b/w illus. 5 tables
    • availability: In stock
  • 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.

  • Author

    Marcos Mariño, Université de Genève
    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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