ENGLISH

Functional integration: action and symmetries

By Pierre Cartier , Cecile DeWitt-Morette

Book information

Publisher
Cambridge University Press
Year
2007
ISBN
0521866960, 9780521866965, 9780511261428
LCC
QC20.7.F85 C376 2006
Open Library ID
OL17915997M
Language
english
Format
PDF
Filesize
2 MB (2146341 bytes)
Series
Cambridge Monographs on Mathematical Physics
Edition
1
Pages
478\478
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

Description

Functional integration successfully entered physics as path integrals in the 1942 Ph.D. 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 new 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; Aharanov-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.

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