Analytic tools for Feynman integrals / Vladimir A. Smirnov.
Material type: TextSeries: Publication details: Berlin : Springer-Verlag, 2012.Description: ix, 296 p. : ill. ; 25 cmISBN:- 9783642348853 (hbk. : alk. paper)
- 515.43 23 Sm641
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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515.43 Se454 Integrals and operators | 515.43 Se471 Riemann problem,complete integrability and arithmetic applications | 515.43 Sm641 Feynman integral calculus | 515.43 Sm641 Analytic tools for Feynman integrals / | 515.43 Sm664 Integral equations | 515.43 So677 Cubature formulas and modern analysis | 515.43 Sq774 Integration for engineers and scientists |
Includes bibliographical references and index.
1. Introduction -- 2. Feynman integrals: basic definitions and tools -- 3. Evaluating by Alpha and Feynman parameters -- 4. Sector decompositions -- 5. Evaluating by MB representation -- 6. IBP and reduction to master integrals -- 7. Evaluation by differential equations -- 8. Evaluating master integrals by dimensional recurrence and analyticity -- 9. Asymptotic expansions in momenta and masses -- 10. Appendix A: Tables -- 11. Appendix B: Some special functions -- 12. Appendix C: Summation formulae -- 13. Appendix D: Table of MB integrals -- 14. Appendix E: A brief review of some other methods.
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