Normal view MARC view ISBD view

Analytic Tools for Feynman Integrals [Recurso electrónico] / by Vladimir A. Smirnov.

Smirnov, Vladimir A.
Material type: materialTypeLabelBook; Format: electronic Series: Springer Tracts in Modern Physics ; 250.Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012ISBN: 9783642348860.Subject(s): Physics | Field theory (Physics) | Quantum theory | Physics | Particle and Nuclear Physics | Quantum Physics | Field Theory and Polynomials | Numerical and Computational PhysicsAdditional physical formats: Printed edition:: No titleOnline resources: Texto completo
Tags from this library: No tags from this library for this title. Log in to add tags.
    average rating: 0.0 (0 votes)
No physical items for this record

Introduction -- Feynman Integrals: Basic Definitions and Tools.-Evaluating by Alpha and Feynman Parameters -- Sector Decompositions -- Evaluating by Mellin-Barnes Representation -- Integration by Parts and Reduction to Master Integrals -- Evaluation by Differential Equations -- Evaluating Master Integrals byDimensional Recurrence and Analyticity -- Asymptotic Expansions in Momenta and Masses -- Tables -- Some Special Functions- Summation Formulae -- Table of MB Integrals.-A Brief Review of Some Other Methods.

The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the authorÌ{u1498}©s previous Springer book Ì{u1498}»Evaluating Feynman IntegralsÌ{u1498}{u086E}d its textbook version Ì{u1498}»Feynman Integral Calculus.Ì{u1498}{u04E9}nce the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added: One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, Ì{u1498}»Applied Asymptotic Expansions in Momenta and Masses,Ì{u1498}{u08B9} the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes.

Restringido a usuarios de la UCA

Modo de acceso: World Wide Web

There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha