Evaluating Feynman Integrals

by Vladimir A. Smirnov

Overview

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 them. Evaluating Feynman Integrals characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples.

Product Details

ISBN-13:	9783540239338
Publisher:	Springer Berlin Heidelberg
Publication date:	02/14/2005
Series:	Springer Tracts in Modern Physics , #211
Edition description:	2004
Pages:	250
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

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.

Editorial Reviews

From the reviews:

"The methods of analytically evaluating Feyman integrals are described in detail. The book is a first attempt to systematically expose variety of methods developed during fifty years … . It will be useful for students of last years, postgraduate students and theoretical physicists specializing in quantum field theory." (Michael B. Mensky, Zentralblatt MATH, Vol. 1098 (24), 2006)

From the Publisher