Vladimir A. Smirnov
Feynman Integral Calculus
Gebonden Engels 2006 2006e druk 9783540306108Levertijd ongeveer 9 werkdagen
Gratis verzonden
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
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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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