By Vladimir A. Smirnov
The aim of this ebook is to explain the main robust tools for comparing multiloop Feynman integrals which are at present utilized in practice. This publication supersedes the author’s earlier Springer publication “Evaluating Feynman Integrals” and its textbook model “Feynman quintessential Calculus.” because the e-book of those books, robust new equipment have arisen and traditional equipment were superior on in crucial methods. an additional qualitative switch is the truth that lots of the equipment and the corresponding algorithms have now been applied in machine codes that are frequently public.
In comparability to the 2 earlier books, 3 new chapters were added: One is on region decomposition, whereas the second one describes a brand new procedure through Lee. The 3rd new bankruptcy issues the asymptotic expansions of Feynman integrals in momenta and lots more and plenty, which have been defined intimately in one other Springer booklet, “Applied Asymptotic Expansions in Momenta and Masses,” by way of the writer. This bankruptcy describes, at the foundation of papers that seemed after the book of stated e-book, how one can algorithmically realize the areas proper 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 desktop codes.
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