© 2006

Feynman Integral Calculus


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 31-55
  5. Vladimir A. Smirnov
    Pages 57-113
  6. Vladimir A. Smirnov
    Pages 115-138
  7. Vladimir A. Smirnov
    Pages 139-172
  8. Vladimir A. Smirnov
    Pages 173-184
  9. Vladimir A. Smirnov
    Pages 185-193
  10. Vladimir A. Smirnov
    Pages 195-197
  11. Vladimir A. Smirnov
    Pages 199-212
  12. Vladimir A. Smirnov
    Pages 213-226
  13. Vladimir A. Smirnov
    Pages 227-238
  14. Vladimir A. Smirnov
    Pages 239-249
  15. Vladimir A. Smirnov
    Pages 251-262
  16. Vladimir A. Smirnov
    Pages 263-275
  17. Back Matter
    Pages 277-285

About this book


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

The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. `Feynman Integral Calculus' characterizes the most powerful methods in a systematic way. It concentrates on the methods that have been employed recently for most sophisticated calculations and illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples. It also shows how to choose adequate methods and combine them in a non-trivial way.


This is a textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author. Problems and solutions have been included, Appendix G has been added, more details have been presented, recent publications on evaluating Feynman integrals have been taken into account and the bibliography has been updated.


Alpha and Feynman parameters Baikov's Method Dimensional regularization Feynman integrals Master Integral Mellin-Barnes representation calculus differential equation

Authors and affiliations

  1. 1.Skobeltsyn Institute of Nuclear PhysicsLomonosov Moscow State UniversityMoscowRussia

Bibliographic information


From the reviews:

"The book is based on the courses of lectures given by the author in the two winter semesters of 2003-2004 and 2005-2006 at the University of Hamburg as a DFG Mercator professor in Hamburg as well as on the course given in 2003-2004 at the University of Karlsruhe. It will be useful for postgraduate students and theoretical physicists specializing in quantum field theory." (Michael B. Mensky, Zentralblatt MATH, Vol. 1111 (8), 2007)