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OverviewThis 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. Full Product DetailsAuthor: Pavel MnevPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.363kg ISBN: 9781470452711ISBN 10: 1470452715 Pages: 192 Publication Date: 30 August 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Classical Chern-Simons theory Feynman diagrams Batalin-Vilkovisky formalism Applications Bibliography IndexReviewsAuthor InformationPavel Mnev, University of Notre Dame, IN. Steklov Institute of Mathematics, St. Petersburg, Russia. Tab Content 6Author Website:Countries AvailableAll regions |
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