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Evaluating Feynman Integrals

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Smirnov, Vladimir A. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Édition:1st ed. 2005.
Collection:Springer Tracts in Modern Physics, 211
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • 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.