By Vladimir A. Smirnov
The target of this ebook is to explain the main robust tools for comparing multiloop Feynman integrals which are at present utilized in practice. This booklet supersedes the author’s earlier Springer e-book “Evaluating Feynman Integrals” and its textbook model “Feynman indispensable Calculus.” because the e-book of those books, strong new equipment have arisen and traditional tools were more desirable on in crucial methods. an extra qualitative swap is the truth that many of the equipment and the corresponding algorithms have now been applied in machine codes that are frequently public.
In comparability to the 2 past books, 3 new chapters were added: One is on quarter decomposition, whereas the second one describes a brand new process by means of 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 e-book, “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 ebook, how one can algorithmically realize the areas suitable to a given restrict in the technique of enlargement by way of areas. additionally, the chapters at the approach to Mellin-Barnes illustration and at the approach to integration by means of components 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