Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory de Johannes Blümlein

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

Editat de Johannes Blümlein, Carsten Schneider, Peter Paule

en Limba Engleză Hardback – 15 feb 2019

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.

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Specificații

ISBN-13: 9783030044794
ISBN-10: 3030044793
Pagini: 491
Ilustrații: XIII, 509 p. 134 illus., 54 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.9 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Texts & Monographs in Symbolic Computation

Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“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)

Caracteristici

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

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