TY - BOOK ID - 80278241 TI - Functional integration : action and symmetries AU - Cartier, Pierre AU - DeWitt-Morette, CeĢcile PY - 2006 SN - 9780521866965 9780511535062 9780521143578 9780511261428 051126142X 051125962X 9780511259623 0511260857 9780511260858 0511535066 0521866960 0521143578 1107170532 1280749407 9786610749409 0511320418 0511260296 9781107170537 9781280749407 661074940X 9780511320415 9780511260292 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Functional analysis KW - Integration, Functional. KW - Functional analysis. KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Functional integration KW - Integrals, Generalized UR - https://www.unicat.be/uniCat?func=search&query=sysid:80278241 AB - 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. ER -