Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
Please make all selections above before adding to cart
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications

Pavel Mnev University of Notre Dame, Notre Dame, IN and Steklov Institute of Mathematics, St. Petersburg, Russia
Available Formats:
Softcover ISBN: 978-1-4704-5271-1
Product Code: ULECT/72
List Price: $60.00 MAA Member Price:$54.00
AMS Member Price: $48.00 Electronic ISBN: 978-1-4704-5368-8 Product Code: ULECT/72.E List Price:$60.00
MAA Member Price: $54.00 AMS Member Price:$48.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $90.00 MAA Member Price:$81.00
AMS Member Price: $72.00 Click above image for expanded view Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications Pavel Mnev University of Notre Dame, Notre Dame, IN and Steklov Institute of Mathematics, St. Petersburg, Russia Available Formats:  Softcover ISBN: 978-1-4704-5271-1 Product Code: ULECT/72  List Price:$60.00 MAA Member Price: $54.00 AMS Member Price:$48.00
 Electronic ISBN: 978-1-4704-5368-8 Product Code: ULECT/72.E
 List Price: $60.00 MAA Member Price:$54.00 AMS Member Price: $48.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$90.00 MAA Member Price: $81.00 AMS Member Price:$72.00
• Book Details

University Lecture Series
Volume: 722019; 192 pp
MSC: Primary 81; Secondary 58; 53;

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 theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.

Readership

Graduate students and researchers interested in mathematical aspects of quantum field theory.

• Table of Contents

• Chapters
• Introduction
• Classical Chern–Simons theory
• Feynman diagrams
• Batalin–Vilkovisky formalism
• Applications
• Additional Material

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 722019; 192 pp
MSC: Primary 81; Secondary 58; 53;

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 theory on cellular decompositions of manifolds, and Kontsevich's deformation quantization formula.

Readership

Graduate students and researchers interested in mathematical aspects of quantum field theory.

• Chapters
• Introduction
• Classical Chern–Simons theory
• Feynman diagrams
• Batalin–Vilkovisky formalism
• Applications
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.