Title | Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory [electronic resource] / edited by Johannes Blümlein, Carsten Schneider, Peter Paule |
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Imprint | Cham : Springer International Publishing : Imprint: Springer, 2019 |
Edition | 1st ed. 2019 |
Connect to | https://doi.org/10.1007/978-3-030-04480-0 |
Descript | XIII, 509 p. 134 illus., 54 illus. in color. online resource |
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