Functional Integration: Action and Symmetries

By Cécile Dewitt-Morette, Pierre Cartier, Cecile Dewitte-Morette

Book Overview

Functional integration successfully entered physics as path integrals in the 1942 PhD dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this book, a fresh approach to functional integration. The book is self-contained: mathematical ideas are introduced, developed, generalised and applied. In the authors' hands, functional integration is shown to be a robust, user-friendly and multi-purpose tool that can be applied to a great variety of situations, for example: systems of indistinguishable particles; Aharonov-Bohm systems; supersymmetry; non-gaussian integrals. Problems in quantum field theory are also considered. In the final part the authors outline topics that can be profitably pursued using material already presented.

• Format: Paperback
• Language: English
• ISBN: 0521143578
• ISBN13: 9780521143578
• Release Date: June 2010
• Publisher: Cambridge University Press
• Length: 480 Pages
• Weight: 1.67 lbs.
• Dimensions: 1.0" x 6.7" x 9.6"