Skip to content
Register Sign in Wishlist
Path Integrals and Anomalies in Curved Space

Path Integrals and Anomalies in Curved Space


Part of Cambridge Monographs on Mathematical Physics

  • Date Published: July 2006
  • availability: Available
  • format: Hardback
  • isbn: 9780521847612

£ 113.00

Add to cart Add to wishlist

Other available formats:
Paperback, eBook

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Path integrals provide a powerful method for describing quantum phenomena. This book introduces the quantum mechanics of particles that move in curved space by employing path integrals and then using them to compute anomalies in quantum field theories. The authors start by deriving path integrals for particles moving in curved space and their supersymmetric generalizations. They then discuss the regularization schemes essential to constructing and computing these path integrals. This topic is used to introduce regularization and renormalization in quantum field theories in a wider context. These methods are then applied to discuss and calculate anomalies in quantum field theory. Such anomalies provide enormous constraints in the search for physical theories of elementary particles, quantum gravity and string theories. An advanced text for researchers and graduate students of quantum field theory and string theory, the first part is also a stand-alone introduction to path integrals in quantum mechanics.

    • Contains very detailed and complete derivations of path integrals in curved space, both for bosonic and fermionic point particles
    • Provides a model to study regularization and renormalization issues
    • Extensive calculations of anomalies in curved spaces and in particular gravitational anomalies
    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: July 2006
    • format: Hardback
    • isbn: 9780521847612
    • length: 398 pages
    • dimensions: 253 x 182 x 26 mm
    • weight: 0.854kg
    • availability: Available
  • Table of Contents

    Part I. Path Integrals for Quantum Mechanics in Curved Space:
    1. Introduction to path integrals
    2. Time slicing
    3. Mode regularization
    4. Dimensional regularization
    Part II. Applications to Anomalies:
    5. Introduction to anomalies
    6. Chiral anomalies from susy quantum fields
    7. Trace anomalies from ordinary and susy quantum mechanics
    8. Conclusions and summary
    Appendices A-F

  • Authors

    Fiorenzo Bastianelli, Università degli Studi, Bologna, Italy

    Peter van Nieuwenhuizen, State University of New York

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.