Computer Algebra in Quantum Field Theory
Integration, Summation and Special Functions
Editors: Schneider, Carsten, Blümlein, Johannes (Eds.)
Free Preview- 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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- About this book
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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
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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)
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Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations
Pages 1-32
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Multiple Zeta Values and Modular Forms in Quantum Field Theory
Pages 33-73
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Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order
Pages 75-96
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Conformal Methods for Massless Feynman Integrals and Large N f Methods
Pages 97-118
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The Holonomic Toolkit
Pages 119-144
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Table of contents (16 chapters)
- Download Preface 1 PDF (101.2 KB)
- Download Sample pages 1 PDF (406.1 KB)
- Download Table of contents PDF (63.4 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Computer Algebra in Quantum Field Theory
- Book Subtitle
- Integration, Summation and Special Functions
- Editors
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- 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
- 41 b/w illustrations
- Topics
