Quantum field theory : Batalin-Vilkovisky formalism and its applications
Author(s)
Bibliographic Information
Quantum field theory : Batalin-Vilkovisky formalism and its applications
（University lecture series, v. 72）
American Mathematical Society, c2019
Available at / 26 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
MNE||1||1200040039007
-
The Institute for Solid State Physics Library. The University of Tokyo.図書室
421.3:Q1857210391061
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. 179-183) and index
Description and Table of Contents
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.
Table of Contents
Introduction
Classical Chern-Simons theory
Feynman diagrams
Batalin-Vilkovisky formalism
Applications
Bibliography
Index
by "Nielsen BookData"