Overview
- Presents up-to-date reviews on modular forms and functions and their use in particle physics
- Combines knowledge from mathematical physics and mathematics
- Written by international authors
Part of the book series: Texts & Monographs in Symbolic Computation (TEXTSMONOGR)
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Table of contents (20 chapters)
Keywords
About this book
This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews.
The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
Editors and Affiliations
Bibliographic Information
Book Title: Anti-Differentiation and the Calculation of Feynman Amplitudes
Editors: Johannes Blümlein, Carsten Schneider
Series Title: Texts & Monographs in Symbolic Computation
DOI: https://doi.org/10.1007/978-3-030-80219-6
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-80218-9Published: 27 November 2021
Softcover ISBN: 978-3-030-80221-9Published: 28 November 2022
eBook ISBN: 978-3-030-80219-6Published: 26 November 2021
Series ISSN: 0943-853X
Series E-ISSN: 2197-8409
Edition Number: 1
Number of Pages: XIII, 545
Number of Illustrations: 48 b/w illustrations, 31 illustrations in colour
Topics: Mathematical Physics, Symbolic and Algebraic Manipulation, Theoretical, Mathematical and Computational Physics
Industry Sectors: IT & Software