Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
1st Edition
Published on 30. January 2019
XIII, 509 pages
978-3-030-04480-0 (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
Other editions
Additional editions
Johannes Blümlein | Carsten Schneider | Peter Paule
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
Book
02/2019
Springer
€235.39
Shipment within 7-9 days
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.
