Feynman Integral Calculus

The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. `Feynman Integral Cal...

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Bibliographic Details
Main Author: Smirnov, Vladimir A.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2006, 2006
Edition:1st ed. 2006
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Feynman Integrals: Basic Definitions and Tools
  • Evaluating by Alpha and Feynman Parameters
  • Evaluating by MB Representation
  • IBP and Reduction to Master Integrals
  • Reduction to Master Integrals by Baikov’s Method
  • Evaluation by Differential Equations
  • Tables
  • Some Special Functions
  • Summation Formulae
  • Table of MB Integrals
  • Analysis of Convergence and Sector Decompositions
  • A Brief Review of Some Other Methods
  • Applying Gröbner Bases to Solve IBP Relations
  • Solutions