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Anti-Differentiation and the Calculation of Feynman Amplitudes

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  • © 2021


  • 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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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.

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Table of contents (20 chapters)

Editors and Affiliations

  • Deutsches Elektronen-Synchrotron, DESY, Zeuthen, Germany

    Johannes Blümlein

  • Research Institute for Symbolic Computation, Johannes Kepler University Linz, Linz, Austria

    Carsten Schneider

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