By Vladimir A. Smirnov
The aim of this booklet is to explain the main robust tools for comparing multiloop Feynman integrals which are presently utilized in practice. This publication supersedes the author’s past Springer e-book “Evaluating Feynman Integrals” and its textbook model “Feynman critical Calculus.” because the book of those books, strong new equipment have arisen and traditional equipment were superior on in crucial methods. a different qualitative swap is the truth that lots of the equipment and the corresponding algorithms have now been applied in laptop 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 process via 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,” by means of the writer. This bankruptcy describes, at the foundation of papers that seemed after the e-book of stated publication, the way to algorithmically become aware of the areas correct 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 by means of 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