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Anti-Differentiation and the Calculation of Feynman Amplitudes / edited by Johannes Blümlein, Carsten Schneider

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria | Springer eBook CollectionPublisher: Cham : Springer International Publishing, 2021Publisher: Cham : Imprint: Springer, 2021Edition: 1st ed. 2021Description: 1 Online-Ressource(XIII, 545 p. 79 illus., 31 illus. in color.)ISBN:
  • 9783030802196
Subject(s): Genre/Form: Additional physical formats: 9783030802189 | 9783030802202 | 9783030802219 | Erscheint auch als: 9783030802189 Druck-Ausgabe | Erscheint auch als: 9783030802202 Druck-Ausgabe | Erscheint auch als: 9783030802219 Druck-Ausgabe | Erscheint auch als: Anti-differentiation and the calculation of Feynman amplitudes. Druck-Ausgabe Cham, Switzerland : Springer, 2021. xiii, 545 SeitenDDC classification:
  • 530.15 23
DOI: DOI: 10.1007/978-3-030-80219-6Online resources: Summary: Graph complexes and Cutkosky rules -- Differential equations and dispersion relations for Feynman amplitudes with elliptic functions -- Elliptic integrals and the two-loop ttbar production in QCD -- Solutions of 2nd and 3rd order differential equations with more singularities -- Analytic continuation of Feynman diagrams with elliptic solutions -- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes -- Genus one superstring amplitudes and modular forms -- Difference field methods in Feynman diagram calculations -- Feynman integrals and iterated integrals of modular forms -- Iterated elliptic and hypergeometric integrals for Feynman diagrams. - Feynman integrals, L-series and Kloosterman moments.Summary: 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.PPN: PPN: 1779838824Package identifier: Produktsigel: ZDB-2-SCS | ZDB-2-SEB | ZDB-2-SXCS
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