Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
Published on 15. February 2019
Book
Hardback
XIII, 509 pages
978-3-030-04479-4 (ISBN)
Description
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.
Reviews / Votes
"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)More details
Series
Edition
2019 ed.
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
54 farbige Abbildungen, 80 s/w Abbildungen
XIII, 509 p. 134 illus., 54 illus. in color.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 34 mm
Weight
945 gr
ISBN-13
978-3-030-04479-4 (9783030044794)
DOI
10.1007/978-3-030-04480-0
Schweitzer Classification
Other editions
Additional editions
Johannes Blümlein | Carsten Schneider | Peter Paule
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
E-Book
01/2019
1st Edition
Springer
€223.63
Available for download
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.