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Analytic Tools for Feynman Integrals

The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice.  This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publ...

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Bibliographic Details
Main Author: Smirnov, Vladimir A.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012, 2012
Edition:1st ed. 2012
Series:Springer Tracts in Modern Physics
Subjects:
Quantum Physics
Nuclear Physics
Algebraic Fields
Field Theory And Polynomials
Nuclear And Particle Physics
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Polynomials
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Feynman Integrals: Basic Definitions and Tools.-Evaluating by Alpha and Feynman Parameters
  • Sector Decompositions
  • Evaluating by Mellin-Barnes Representation
  • Integration by Parts and Reduction to Master Integrals
  • Evaluation by Differential Equations
  • Evaluating Master Integrals by Dimensional Recurrence and Analyticity
  • Asymptotic Expansions in Momenta and Masses
  • Tables
  • Some Special Functions- Summation Formulae
  • Table of MB Integrals.- A Brief Review of Some Other Methods

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