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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Bibliografiske detaljer
Hovedforfatter: Smirnov, Vladimir Alexandrovich, 1951-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Serier:Springer tracts in modern physics 211
Fag:
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Edition sous un autre format:• Evaluating Feynman Integrals, Texte imprimé, 9783642062971
• Evaluating Feynman Integrals, Texte imprimé, 9783540805359
• Evaluating Feynman integrals, Vladimir A. Smirnov, 2004, Berlin, Springer, 1 vol. (IX-244 p.), Springer tracts in modern physics, 3-540-23933-2
Indholdsfortegnelse:
  • 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.