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 Calcu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Smirnov, Vladimir A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Springer Tracts in Modern Physics,
Temas:
Nuclear physics.
Quantum physics.
Algebraic fields.
Polynomials.
Mathematical physics.
Nuclear and Particle Physics.
Quantum Physics.
Field Theory and Polynomials.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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