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smirnov vladimir a. - evaluating feynman integrals

Evaluating Feynman Integrals




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 11/2010
Edizione: Softcover reprint of hardcover 1st ed. 2004





Trama

The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory.

Although a great variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them. Evaluating Feynman Integrals characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples.





Sommario

Introduction.- Feynman Integrals: Basic Definitions and Tools.- Evaluating by Alpha and Feynman Parameters.- Evaluating by Mellin-Barnes Representation.- IBP and Reduction to Master Integrals.- Reduction to Master Integrals by Baikov's method.- Evaluation by Differential Equations.- Appendix A. Tables.- Appendix B. Some Special Functions.- Appendix C. Summation Formulae.- Appendix D. Table of MB Integrals.- Appendix E. Analysis of Convergence and Sector Decompositions.- Appendix F. A Brief Review of Some Other Methods.










Altre Informazioni

ISBN:

9783642062971

Condizione: Nuovo
Collana: Springer Tracts in Modern Physics
Dimensioni: 235 x 155 mm Ø 454 gr
Formato: Brossura
Illustration Notes:X, 250 p.
Pagine Arabe: 250
Pagine Romane: x


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