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Schneider, Carsten

Computer Algebra in Quantum Field Theory

Schneider, Carsten - Computer Algebra in Quantum Field Theory, ebook

175,40€

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ISBN: 9783709116166
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Table of contents

1. Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations
Jakob Ablinger, Johannes Blümlein

2. Multiple Zeta Values and Modular Forms in Quantum Field Theory
David Broadhurst

3. Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order
Stefan Gerhold, Manuel Kauers, Christoph Koutschan, Peter Paule, Carsten Schneider, Burkhard Zimmermann

4. Conformal Methods for Massless Feynman Integrals and Large N

f
Methods
John A. Gracey

5. The Holonomic Toolkit
Manuel Kauers

6. Orthogonal Polynomials
Tom H. Koornwinder

7. Creative Telescoping for Holonomic Functions
Christoph Koutschan

8. Renormalization and Mellin Transforms
Dirk Kreimer, Erik Panzer

9. Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach. I
Peter Paule, Sergei K. Suslov

10. Hypergeometric Functions in Mathematica
®

Oleksandr Pavlyk

11. Solving Linear Recurrence Equations with Polynomial Coefficients
Marko Petkovšek, Helena Zakrajšek

12. Generalization of Risch’s Algorithm to Special Functions
Clemens G. Raab

13. Multiple Hypergeometric Series: Appell Series and Beyond
Michael J. Schlosser

14. Simplifying Multiple Sums in Difference Fields
Carsten Schneider

15. Potential of FORM 4.0
Jos A. M. Vermaseren

16. Feynman Graphs
Stefan Weinzierl

Keywords: Physics, Elementary Particles, Quantum Field Theory, Mathematical Physics, Quantum Field Theories, String Theory, Special Functions, Symbolic and Algebraic Manipulation

Author(s)
 
Publisher
Springer
Publication year
2013
Language
en
Edition
2013
Series
Texts & Monographs in Symbolic Computation
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783709116166

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