Functional integration: action and symmetries

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 fresh approach to functional integration. The book is self-co...

Ausführliche Beschreibung

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Beteilige Person: Cartier, Pierre
Weitere beteiligte Personen: DeWitt-Morette, Cécile
Format: E-Book
Sprache:Englisch
Veröffentlicht: Cambridge Cambridge University Press 2006
Schriftenreihe:Cambridge monographs on mathematical physics
Links:https://doi.org/10.1017/CBO9780511535062
Zusammenfassung: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 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.
Umfang:1 Online-Ressource (xx, 456 Seiten)
ISBN:9780511535062