Functional Integration Action and Symmetries
Functional Integration Action and Symmetries by Pierre Cartier, published by Cambridge University Press on June 10, 2010, is a comprehensive exploration of functional integration in the context of physics and mathematics. This reissue spans 480 pages and is presented in English. The book introduces a fresh approach to functional integration, initially rooted in Richard P. Feynman’s path integrals, and addresses its mathematical foundations, making it accessible for readers interested in the intersection of science and mathematics.
Readers will find that the authors, Cartier and DeWitt-Morette, present functional integration as a versatile tool applicable to various scenarios, including systems of indistinguishable particles, Aharonov-Bohm systems, and supersymmetry. The text is designed to be self-contained, with mathematical concepts introduced and developed throughout, culminating in discussions on problems in quantum field theory. The final sections suggest further topics for exploration, encouraging readers to delve deeper into the material presented.
Official synopsis Publisher
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.
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