By Vladimir A. Smirnov
The target of this ebook is to explain the main strong equipment for comparing multiloop Feynman integrals which are at present utilized in practice. This e-book supersedes the author’s past Springer e-book “Evaluating Feynman Integrals” and its textbook model “Feynman quintessential Calculus.” because the e-book of those books, robust new equipment have arisen and standard equipment were more desirable on in crucial methods. an extra qualitative switch is the truth that many of the equipment and the corresponding algorithms have now been carried out in desktop codes that are usually public.
In comparability to the 2 prior books, 3 new chapters were added: One is on region decomposition, whereas the second one describes a brand new process by means of Lee. The 3rd new bankruptcy matters the asymptotic expansions of Feynman integrals in momenta and much, that have been defined intimately in one other Springer publication, “Applied Asymptotic Expansions in Momenta and Masses,” through the writer. This bankruptcy describes, at the foundation of papers that seemed after the booklet of acknowledged booklet, tips on how to algorithmically realize the areas appropriate to a given restrict in the technique of growth by way of areas. additionally, the chapters at the approach to Mellin-Barnes illustration and at the approach to integration through elements were considerably rewritten, with an emphasis at the corresponding algorithms and desktop codes.
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Analytic Tools for Feynman Integrals (Springer Tracts in Modern Physics) by Vladimir A. Smirnov