Skip to content
Register Sign in Wishlist

Geometric and Topological Methods for Quantum Field Theory
Proceedings of the 2009 Villa de Leyva Summer School

£84.00

Henrique Bursztyn, Florent Schaffhauser, Sylvie Paycha, Stefan Weinzierl, Francis Brown, Luis J. Boya, Florian Scheck, Leonardo A. Cano García, Iván Contreras, Andrés Vargas, Alexander Cardona, César Del Corral
View all contributors
  • Date Published: May 2013
  • availability: In stock
  • format: Hardback
  • isbn: 9781107026834

£ 84.00
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Based on lectures given at the renowned Villa de Leyva summer school, this book provides a unique presentation of modern geometric methods in quantum field theory. Written by experts, it enables readers to enter some of the most fascinating research topics in this subject. Covering a series of topics on geometry, topology, algebra, number theory methods and their applications to quantum field theory, the book covers topics such as Dirac structures, holomorphic bundles and stability, Feynman integrals, geometric aspects of quantum field theory and the standard model, spectral and Riemannian geometry and index theory. This is a valuable guide for graduate students and researchers in physics and mathematics wanting to enter this interesting research field at the borderline between mathematics and physics.

    • Provides a unique exposition of geometric and topological methods relevant to developments in theoretical physics
    • Each chapter is written by an expert on the topic and includes exercises and suggestions for further reading
    • Based on lecture notes from courses delivered at the sixth Villa de Leyva summer school on 'Geometric and Topological Methods for Quantum Field Theory'
    Read more

    Reviews & endorsements

    '… a valuable guide for graduate students and researchers in physics and mathematics …' CERN Courier

    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: May 2013
    • format: Hardback
    • isbn: 9781107026834
    • length: 392 pages
    • dimensions: 252 x 178 x 24 mm
    • weight: 0.86kg
    • contains: 30 b/w illus. 41 exercises
    • availability: In stock
  • Table of Contents

    Introduction
    1. A brief introduction to Dirac manifolds Henrique Bursztyn
    2. Differential geometry of holomorphic vector bundles on a curve Florent Schaffhauser
    3. Paths towards an extension of Chern–Weil calculus to a class of infinite dimensional vector bundles Sylvie Paycha
    4. Introduction to Feynman integrals Stefan Weinzierl
    5. Iterated integrals in quantum field theory Francis Brown
    6. Geometric issues in quantum field theory and string theory Luis J. Boya
    7. Geometric aspects of the standard model and the mysteries of matter Florian Scheck
    8. Absence of singular continuous spectrum for some geometric Laplacians Leonardo A. Cano García
    9. Models for formal groupoids Iván Contreras
    10. Elliptic PDEs and smoothness of weakly Einstein metrics of Hölder regularity Andrés Vargas
    11. Regularized traces and the index formula for manifolds with boundary Alexander Cardona and César Del Corral
    Index.

  • Editors

    Alexander Cardona, Universidad de los Andes, Colombia
    Alexander Cardona is Associate Professor in Mathematics, Universidad de los Andes, Bogotá, where he is part of the research group in geometry, topology and global analysis. His research interest includes a wide range of applications of mathematics in theoretical physics.

    Iván Contreras, Universität Zürich
    Iván Contreras is a PhD student at the Institute of Mathematics, University of Zurich, working in the mathematical physics group. His areas of interest cover the connection between geometry, topology and field theories.

    Andrés F. Reyes-Lega, Universidad de los Andes, Colombia
    Andrés F. Reyes-Lega is Associate Professor at the Physics Department, Universidad de los Andes, Bogotá, and is a member of the theoretical physics group. His recent research work has been in quantum field theory and quantum information theory.

    Contributors

    Henrique Bursztyn, Florent Schaffhauser, Sylvie Paycha, Stefan Weinzierl, Francis Brown, Luis J. Boya, Florian Scheck, Leonardo A. Cano García, Iván Contreras, Andrés Vargas, Alexander Cardona, César Del Corral

Sign In

Please sign in to access your account

Cancel

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 lecturers@cambridge.org

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 www.ebooks.com. Please see the permission section of the www.ebooks.com 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.

Cancel

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.
×