Texts & Monographs in Symbolic Computation

Computer Algebra in Quantum Field Theory

Integration, Summation and Special Functions

Editors: Schneider, Carsten, Blümlein, Johannes (Eds.)

  • Combines techniques methods from special functions and computer algebra applied to quantum field theory
  • Contains survey articles written by mathematicians and physicists
  • Describes algorithms and techniques developed by interdisciplinary teams of mathematicians, theoretical particle physicists and computer scientists
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eBook $139.00
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  • ISBN 978-3-7091-1616-6
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-7091-1615-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-7091-4849-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this book

The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.

Reviews

From the reviews:

“It is a collection of papers that grew out of a summer school course on integration, summation, and special functions in quantum field theory … . if you are interested in these sorts of special functions, and the computer algebra tools to manipulate them, whether or not your particular application is quantum field theory, then this book is an excellent description of the state of the art in computer algebra manipulation and proof.” (J. H. Davenport, Computing Reviews, April, 2014)


Table of contents (16 chapters)

  • Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations

    Ablinger, Jakob (et al.)

    Pages 1-32

  • Multiple Zeta Values and Modular Forms in Quantum Field Theory

    Broadhurst, David

    Pages 33-73

  • Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order

    Gerhold, Stefan (et al.)

    Pages 75-96

  • Conformal Methods for Massless Feynman Integrals and Large N f Methods

    Gracey, John A.

    Pages 97-118

  • The Holonomic Toolkit

    Kauers, Manuel

    Pages 119-144

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-7091-1616-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-7091-1615-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-7091-4849-5
  • 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
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Bibliographic Information

Bibliographic Information
Book Title
Computer Algebra in Quantum Field Theory
Book Subtitle
Integration, Summation and Special Functions
Editors
  • Carsten Schneider
  • Johannes Blümlein
Series Title
Texts & Monographs in Symbolic Computation
Copyright
2013
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Wien
eBook ISBN
978-3-7091-1616-6
DOI
10.1007/978-3-7091-1616-6
Hardcover ISBN
978-3-7091-1615-9
Softcover ISBN
978-3-7091-4849-5
Series ISSN
0943-853X
Edition Number
1
Number of Pages
XIV, 411
Number of Illustrations and Tables
41 b/w illustrations
Topics