{"product_id":"functional-integration-action-and-symmetries-hardback-9780521866965","title":"Functional Integration; Action and Symmetries (Hardback) 9780521866965","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFunctional Integration\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAction and Symmetries\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThe powerful tool of functional integration is widely applied and shown to be user-friendly and mathematically robust.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePierre Cartier (Author), Cecile DeWitt-Morette (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521866965, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 30 November 2006\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e476 pages\u003cbr\u003e15.5 x 18 x 3 cm, 0.973 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: '…for someone who is interested in the mathematical foundations or merely curious to see some of the deep insight of two true experts, Cartier and DeWitt-Morette's book is well worth reading.'  Physics Today\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eFunctional 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eAcknowledgements\u003cbr\u003e List symbols, conventions, and formulary\u003cbr\u003e Part I. The Physical and Mathematical Environment: 1. The physical and mathematical environment\u003cbr\u003e Part II. Quantum Mechanics: 2. First lesson: Gaussian integrals\u003cbr\u003e 3. Selected examples\u003cbr\u003e 4. Semiclassical expansion: WKB\u003cbr\u003e 5. Semiclassical expansion: beyond WKB\u003cbr\u003e 6. Quantum dynamics: path integrals and operator formalism\u003cbr\u003e Part III. Methods from Differential Geometry: 7. Symmetries\u003cbr\u003e 8. Homotopy\u003cbr\u003e 9. Grassmann analysis: basics\u003cbr\u003e 10. Grassmann analysis: applications\u003cbr\u003e 11. Volume elements, divergences, gradients\u003cbr\u003e Part IV. Non-Gaussian Applications: 12. Poisson processes in physics\u003cbr\u003e 13. A mathematical theory of Poisson processes\u003cbr\u003e 14. First exit time: energy problems\u003cbr\u003e Part V. Problems in Quantum Field Theory: 15. Renormalization 1: an introduction\u003cbr\u003e 16. Renormalization 2: scaling\u003cbr\u003e 17. Renormalization 3: combinatorics\u003cbr\u003e 18. Volume elements in quantum field theory Bryce DeWitt\u003cbr\u003e Part VI. Projects: 19. Projects\u003cbr\u003e Appendix A. Forward and backward integrals: spaces of pointed paths\u003cbr\u003e Appendix B. Product integrals\u003cbr\u003e Appendix C. A compendium of gaussian integrals\u003cbr\u003e Appendix D. Wick calculus Alexander Wurm\u003cbr\u003e Appendix E. The Jacobi operator\u003cbr\u003e Appendix F. Change of variables of integration\u003cbr\u003e Appendix G. Analytic properties of covariances\u003cbr\u003e Appendix H. Feynman's checkerboard\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006015885592,"sku":"9780521866965","price":159.88,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521866965i_b625d8fd-bd29-4303-95c3-63eed40a082d.jpg?v=1691358622","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/functional-integration-action-and-symmetries-hardback-9780521866965","provider":"Freshly Printed Books","version":"1.0","type":"link"}