Skip to content
Register Sign in Wishlist

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

$71.00 ( ) USD

  • Date Published: September 2015
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781316371541

$ 71.00 USD ( )
Adobe eBook Reader

You will be taken to for this purchase
Buy eBook Add to wishlist

Other available formats:

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: September 2015
    • format: Adobe eBook Reader
    • isbn: 9781316371541
    • contains: 67 b/w illus. 5 tables
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    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
    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.

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.