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

Inbunden, Engelska, 2019

Del i serien Texts & Monographs in Symbolic Computation

2 360 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2019-02-15
Mått:155 x 235 x 34 mm
Vikt:945 g
Format:Inbunden
Språk:Engelska
Serie:Texts & Monographs in Symbolic Computation
Antal sidor:509
Förlag:Springer Nature Switzerland AG
ISBN:9783030044794

Utforska kategorier

Systemvetenskap och AI inom Data och IT
Fysik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik

Recensioner i media

“The book is explicitly concerned with ‘the mathematics of modular forms [as it is] of central importance for the analytic solution of Feynman diagrams,’ but modular formers should be equally interested in the material offered in this compendium.” (Michael Berg, MAA Reviews, May 19, 2019)

Innehållsförteckning

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.