Analytic Tools for Feynman Integrals (Springer Tracts in by Vladimir A. Smirnov

By Vladimir A. Smirnov

The aim of this publication is to explain the main robust tools for comparing multiloop Feynman integrals which are at the moment utilized in practice.  This booklet supersedes the author’s past Springer booklet “Evaluating Feynman Integrals” and its textbook model “Feynman vital Calculus.” because the ebook of those books, robust new tools have arisen and traditional tools were greater on in crucial methods. yet another qualitative swap is the truth that many of the tools and the corresponding algorithms have now been carried out 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 via 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 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 ebook, the best way to algorithmically detect the areas proper to a given restrict in the technique of growth by means of 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.

Show description

Read Online or Download Analytic Tools for Feynman Integrals (Springer Tracts in Modern Physics) PDF

Similar nuclear physics books

Principles of Quantum Mechanics

R. Shankar has brought significant additions and up to date key displays during this moment variation of ideas of Quantum Mechanics. New positive aspects of this leading edge textual content contain a wholly rewritten mathematical creation, a dialogue of Time-reversal invariance, and large assurance of numerous direction integrals and their functions.

Statistics for Nuclear and Particle Physicists

This booklet, written by means of a non-statistician for non-statisticians, emphasises the sensible method of these difficulties in information which come up frequently in information research occasions in nuclear and high-energy physics experiments. instead of focusing on formal proofs of theorems, an plentiful use of straightforward examples illustrates the overall principles that are awarded, exhibiting the reader how one can receive the utmost info from the information within the easiest demeanour.

TENR - Technologically Enhanced Natural Radiation (Radioactivity in the Environment)

This e-book on TENR discusses the elemental Physics and Chemistry ideas of natural radiation. the present wisdom of the organic results of typical radiation is summarized. a wide selection of themes, from cosmic radiation to atmospheric, terrestrial and aquatic radiation is addressed, together with radon, thoron, and depleted uranium.

Optics of Charged Particles

Optics of Charged debris describes how charged debris movement broadly speaking and fringing fields of magnetic or electrostatic dipoles, quadrupoles, and hexapoles utilizing an analogous kind of formula and constant nomenclature all through. This booklet not just describes the particle trajectories and beam shapes, but additionally presents guidance for designing particle optical tools.

Extra info for Analytic Tools for Feynman Integrals (Springer Tracts in Modern Physics)

Example text

Download PDF sample

Rated 4.85 of 5 – based on 14 votes