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Quantum Field Theory: Batalin-Vilkovisky Formalism and Its Applications (University Lecture Series)

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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.

Product Specifications

Colour: White
Format: paperback
ASIN: 1470452715
Category: Books > Subjects > Science, Nature & Maths > Popular Science
Domain: Amazon UK
Release Date: 30 August 2019
Listed Since: 01 July 2019

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Quantum Field Theory: Batalin-Vilkovisky Formalism and Its Applications (University Lecture Series)

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