Description

This book originated from lecture notes for the course given by the author at the University of Notre Dame in the fall of 2016. The aim of the book is to give an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin-Vilkovisky formalism and to some of its applications. The book is oriented toward a graduate mathematical audience and does not require any prior physics background. To elucidate the picture, the exposition is mostly focused on finite-dimensional models for gauge systems and path integrals, while giving comments on what has to be amended in the infinite-dimensional case relevant to local field theory. Motivating examples discussed in the book include Alexandrov-Kontsevich-Schwarz-Zaboronsky sigma models, the perturbative expansion for Chern-Simons invariants of 3-manifolds given in terms of integrals over configurations of points on the manifold, the BF (background field) theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.

Quantum Field Theory: Batalin-Vilkovisky Formalism and Its Applications

Product form

£60.75

Includes FREE delivery
Usually despatched within 5 days
Paperback / softback by Pavel Mnev

2 in stock

Short Description:

This book originated from lecture notes for the course given by the author at the University of Notre Dame in... Read more

    Publisher: American Mathematical Society
    Publication Date: 30/08/2019
    ISBN13: 9781470452711, 978-1470452711
    ISBN10: 1470452715

    Number of Pages: 192

    Non Fiction , Mathematics & Science , Education

    Description

    This book originated from lecture notes for the course given by the author at the University of Notre Dame in the fall of 2016. The aim of the book is to give an introduction to the perturbative path integral for gauge theories (in particular, topological field theories) in Batalin-Vilkovisky formalism and to some of its applications. The book is oriented toward a graduate mathematical audience and does not require any prior physics background. To elucidate the picture, the exposition is mostly focused on finite-dimensional models for gauge systems and path integrals, while giving comments on what has to be amended in the infinite-dimensional case relevant to local field theory. Motivating examples discussed in the book include Alexandrov-Kontsevich-Schwarz-Zaboronsky sigma models, the perturbative expansion for Chern-Simons invariants of 3-manifolds given in terms of integrals over configurations of points on the manifold, the BF (background field) theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.

    Customer Reviews

    Be the first to write a review
    0%
    (0)
    0%
    (0)
    0%
    (0)
    0%
    (0)
    0%
    (0)

    Recently viewed products

    © 2025 Book Curl,

      • American Express
      • Apple Pay
      • Diners Club
      • Discover
      • Google Pay
      • Maestro
      • Mastercard
      • PayPal
      • Shop Pay
      • Union Pay
      • Visa

      Login

      Forgot your password?

      Don't have an account yet?
      Create account