By Vladimir A. Smirnov
The objective of this booklet is to explain the main robust equipment for comparing multiloop Feynman integrals which are presently utilized in practice. This booklet supersedes the author’s earlier Springer ebook “Evaluating Feynman Integrals” and its textbook model “Feynman indispensable Calculus.” because the e-book of those books, robust new tools have arisen and traditional equipment were stronger on in crucial methods. an extra qualitative swap is the truth that lots of the tools and the corresponding algorithms have now been applied in desktop codes that are frequently public.
In comparability to the 2 earlier books, 3 new chapters were added: One is on zone decomposition, whereas the second one describes a brand new strategy through Lee. The 3rd new bankruptcy matters the asymptotic expansions of Feynman integrals in momenta and lots more and plenty, that have been defined intimately in one other Springer publication, “Applied Asymptotic Expansions in Momenta and Masses,” through the writer. This bankruptcy describes, at the foundation of papers that seemed after the ebook of acknowledged e-book, how one can algorithmically observe the areas correct to a given restrict in the technique of growth through areas. furthermore, the chapters at the approach to Mellin-Barnes illustration and at the approach to integration by way of elements were considerably rewritten, with an emphasis at the corresponding algorithms and desktop codes.
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Additional info for Analytic Tools for Feynman Integrals (Springer Tracts in Modern Physics)
Analytic Tools for Feynman Integrals (Springer Tracts in Modern Physics) by Vladimir A. Smirnov