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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory - Softcover

 
9783030044817: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

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Synopsis

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.

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9783030044794: Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory (Texts & Monographs in Symbolic Computation)

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ISBN 10:  3030044793 ISBN 13:  9783030044794
Publisher: Springer, 2019
Hardcover