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Johannes Blümlein & Carsten Schneider 
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory 

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This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations. 

€223.63
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Table of Content

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.
Language English ● Format PDF ● Pages 509 ● ISBN 9783030044800 ● File size 10.6 MB ● Editor Johannes Blümlein & Carsten Schneider ● Publisher Springer International Publishing ● City Cham ● Country CH ● Published 2019 ● Downloadable 24 months ● Currency EUR ● ID 6868034 ● Copy protection Social DRM

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