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Evaluating Feynman Integrals

  • Vladimir A. Smirnov

Part of the Springer Tracts in Modern Physics book series (STMP, volume 211)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Vladimir A. Smirnov
    Pages 1-9
  3. Vladimir A. Smirnov
    Pages 11-30
  4. Vladimir A. Smirnov
    Pages 31-53
  5. Vladimir A. Smirnov
    Pages 55-107
  6. Vladimir A. Smirnov
    Pages 109-132
  7. Vladimir A. Smirnov
    Pages 133-163
  8. Vladimir A. Smirnov
    Pages 165-177
  9. Vladimir A. Smirnov
    Pages 179-186
  10. Vladimir A. Smirnov
    Pages 187-190
  11. Vladimir A. Smirnov
    Pages 191-205
  12. Vladimir A. Smirnov
    Pages 207-219
  13. Vladimir A. Smirnov
    Pages 221-232
  14. Vladimir A. Smirnov
    Pages 233-244
  15. Back Matter
    Pages 245-250

About this book

Introduction

The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory.

Although a great variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them. 'Evaluating Feynman Integrals' characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples.

Keywords

Alpha and Feynman parameters Dimensional regularization Feynman integrals Mellin-Barnes representation calculus differential equation

Authors and affiliations

  • Vladimir A. Smirnov
    • 1
    • 2
  1. 1.Skobeltsyn Institute of Nuclear PhysicsLomonosov Moscow State UniversityMoscowRussia
  2. 2.II. Institut für Theoretische PhysikUniversität HamburgHamburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/b95498
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-23933-8
  • Online ISBN 978-3-540-44703-0
  • Series Print ISSN 0081-3869
  • Series Online ISSN 1615-0430
  • Buy this book on publisher's site
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