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Applied Asymptotic Expansions in Momenta and Masses

  • Vladimir A. Smirnov

Part of the Springer Tracts in Modern Physics book series (STMP, volume 177)

Table of contents

About this book

Introduction

The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. The problem of expansion is systematically solved by formulating universal prescriptions that express terms of the expansion using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. Most typical examples of these expansions are presented: the operator product expansion, the large-mass expansion, Heavy Quark Effective Theory, and Non-Relativistic QCD.

Keywords

Feynman diagrams Quark asymptotic expansions behavior momentum quantenchromodynamik quantum chromodynamics structure threshold expansion

Authors and affiliations

  • Vladimir A. Smirnov
    • 1
  1. 1.Skobeltsyn Institute of Nuclear PhysicsLomonosov Moscow State UniversityMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-44574-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-42334-8
  • Online ISBN 978-3-540-44574-6
  • Series Print ISSN 0081-3869
  • Buy this book on publisher's site