By Vladimir A. Smirnov
The objective of this ebook is to explain the main robust tools for comparing multiloop Feynman integrals which are at the moment utilized in practice. This publication supersedes the author’s prior Springer e-book “Evaluating Feynman Integrals” and its textbook model “Feynman vital Calculus.” because the book of those books, strong new equipment have arisen and traditional tools were more suitable on in crucial methods. one other qualitative switch is the truth that lots of the tools and the corresponding algorithms have now been carried out in laptop codes that are frequently public.
In comparability to the 2 prior books, 3 new chapters were added: One is on quarter decomposition, whereas the second one describes a brand new approach through Lee. The 3rd new bankruptcy issues the asymptotic expansions of Feynman integrals in momenta and much, which have been defined intimately in one other Springer ebook, “Applied Asymptotic Expansions in Momenta and Masses,” via the writer. This bankruptcy describes, at the foundation of papers that seemed after the ebook of stated booklet, the way to algorithmically notice the areas correct to a given restrict in the technique of enlargement through areas. moreover, the chapters at the approach to Mellin-Barnes illustration and at the approach to integration through components were considerably rewritten, with an emphasis at the corresponding algorithms and laptop codes.
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Analytic Tools for Feynman Integrals (Springer Tracts in Modern Physics) by Vladimir A. Smirnov