Feynman Integral Calculus

Specificaties
Gebonden, 287 blz. | Engels
Springer Berlin Heidelberg | 2006e druk, 2006
ISBN13: 9783540306108
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Springer Berlin Heidelberg 2006e druk, 2006 9783540306108
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Samenvatting

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. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.

Specificaties

ISBN13:9783540306108
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:287
Uitgever:Springer Berlin Heidelberg
Druk:2006

Inhoudsopgave

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.
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        Feynman Integral Calculus