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Functional integration : action and symmetries

Author: Pierre Cartier; Cécile Dewitt-Morette
Publisher: Cambridge, UK ; New York : Cambridge University Press, cop. 2006.
Series: Cambridge monographs on mathematical physics.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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The powerful tool of functional integration is widely applied and shown to be user-friendly and mathematically robust.

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Additional Physical Format: Functional integration [Ressource électronique] : action and symmetries / P. Cartier and C. Dewitt-Morette
New York : Cambridge University Press, 2007. (@Cambridge monographs on mathematical physics)
978-0-51132-041-5
(ABES)145846903
Document Type: Book
All Authors / Contributors: Pierre Cartier; Cécile Dewitt-Morette
ISBN: 9780521866965 0521866960
OCLC Number: 493157612
Description: 1 vol. (XX-456 p.) : fig. ; 26 cm.
Contents: Acknowledgements; List symbols, conventions, and formulary; Part I. The Physical and Mathematical Environment: 1. The physical and mathematical environment; Part II. Quantum Mechanics: 2. First lesson: gaussian integrals; 3. Selected examples; 4. Semiclassical expansion: WKB; 5. Semiclassical expansion: beyond WKB; 6. Quantum dynamics: path integrals and operator formalism; Part III. Methods from Differential Geometry: 7. Symmetries; 8. Homotopy; 9. Grassmann analysis: basics; 10. Grassmann analysis: applications; 11. Volume elements, divergences, gradients; Part IV. Non-Gaussian Applications: 12. Poisson processes in physics; 13. A mathematical theory of Poisson processes; 14. First exit time: energy problems; Part V. Problems in Quantum Field Theory: 15. Renormalization 1: an introduction; 16. Renormalization 2: scaling; 17. Renormalization 3: combinatorics; 18. Volume elements in quantum field theory Bryce DeWitt; Part VI. Projects: 19. Projects; Appendix A. Forward and backward integrals: spaces of pointed paths; Appendix B. Product integrals; Appendix C. A compendium of gaussian integrals; Appendix D. Wick calculus Alexander Wurm; Appendix E. The Jacobi operator; Appendix F. Change of variables of integration; Appendix G. Analytic properties of covariances; Appendix H. Feynman's checkerboard; Bibliography; Index.
Series Title: Cambridge monographs on mathematical physics.
Responsibility: Pierre Cartier and Cécile DeWitt-Morette.

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Review of the hardback: '...will be helpful for those mathematicians who are interested in physical applications of the general theory of measure (theory of integrals) and for the physicists who are Read more...

 
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