By Vladimir A. Smirnov
The objective of this ebook is to explain the main robust tools for comparing multiloop Feynman integrals which are at present utilized in practice. This ebook supersedes the author’s prior Springer booklet “Evaluating Feynman Integrals” and its textbook model “Feynman imperative Calculus.” because the book of those books, strong new equipment have arisen and standard equipment were more advantageous on in crucial methods. another qualitative switch is the truth that lots of the equipment and the corresponding algorithms have now been carried out in laptop codes that are usually public.
In comparability to the 2 earlier books, 3 new chapters were added: One is on quarter decomposition, whereas the second one describes a brand new strategy via 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 ebook, “Applied Asymptotic Expansions in Momenta and Masses,” through the writer. This bankruptcy describes, at the foundation of papers that seemed after the e-book of acknowledged publication, the right way to algorithmically observe the areas suitable to a given restrict in the technique of enlargement via areas. additionally, 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
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