Springer Tracts in Modern Physics

Analytic Tools for Feynman Integrals

Authors: Smirnov, Vladimir A.

  • Most powerful methods of evaluating Feynman integrals are presented
  • Reader will be able to apply them in practice
  • Contains numerous examples
see more benefits

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-34886-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-34885-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-642-43925-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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 author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since 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, “Applied Asymptotic Expansions in Momenta and Masses,” by 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.

About the authors

Dr. V. A. Smirnov
Moscow State University
smirnov@theory.sinp.msu.ru

Table of contents (14 chapters)

  • Introduction

    Smirnov, Vladimir A.

    Pages 1-10

  • Feynman Integrals: Basic Definitions and Tools

    Smirnov, Vladimir A.

    Pages 11-31

  • Evaluating by Alpha and Feynman Parameters

    Smirnov, Vladimir A.

    Pages 33-59

  • Sector Decompositions

    Smirnov, Vladimir A.

    Pages 61-81

  • Evaluating by MB Representation

    Smirnov, Vladimir A.

    Pages 83-126

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-34886-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-34885-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-642-43925-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Analytic Tools for Feynman Integrals
Authors
Series Title
Springer Tracts in Modern Physics
Series Volume
250
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-34886-0
DOI
10.1007/978-3-642-34886-0
Hardcover ISBN
978-3-642-34885-3
Softcover ISBN
978-3-642-43925-4
Series ISSN
0081-3869
Edition Number
1
Number of Pages
X, 298
Topics