Anti-Differentiation and the Calculation of Feynman Amplitudes by Carsten Schnei

Description: Anti-Differentiation and the Calculation of Feynman Amplitudes by Carsten Schneider, Johannes BlÜmlein 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. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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. Table of Contents 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. Feature 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 Details ISBN3030802183 Language English ISBN-10 3030802183 ISBN-13 9783030802189 Format Hardcover Publisher Springer Nature Switzerland AG Series Texts & Monographs in Symbolic Computation Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Edition 1st Pages 545 Year 2021 Publication Date 2021-11-27 Illustrations 31 Illustrations, color; 48 Illustrations, black and white; XIII, 545 p. 79 illus., 31 illus. in color. UK Release Date 2021-11-27 Author Johannes BlÜmlein Edited by Johannes BlÜmlein Edition Description 1st ed. 2021 Alternative 9783030802219 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134251083;

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