Functional Integration: Action and Symmetries |
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| Author:
| Cartier, Pierre
Dewitte-Morette, Cecile |
| Editor:
| Landshoff, P. V.
Nelson, D. R.
Weinberg, S. |
| Series title: | Cambridge Monographs on Mathematical Physics Ser. |
| ISBN: | 978-1-280-74940-7 |
| Publication Date: | Jan 2010 |
| Publisher: | Cambridge University Press
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| Book Format: | Ebook |
| List Price: | USD $150.00 |
Book Description:
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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...
More DescriptionFunctional 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.