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Elliptic integrals, elliptic functio...

Blumlein, Johannes.

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Elliptic integrals, elliptic functions and modular forms in quantum field theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Elliptic integrals, elliptic functions and modular forms in quantum field theory/ edited by Johannes Blumlein, Carsten Schneider, Peter Paule.
other author:	Blumlein, Johannes.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xiii, 509 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Elliptic functions. -
Online resource:	https://doi.org/10.1007/978-3-030-04480-0
ISBN:	9783030044800

Elliptic integrals, elliptic functions and modular forms in quantum field theory
Elliptic integrals, elliptic functions and modular forms in quantum field theory[electronic resource] /edited by Johannes Blumlein, Carsten Schneider, Peter Paule. - Cham :Springer International Publishing :2019. - xiii, 509 p. :ill. (some col.), digital ;24 cm. - Texts & monographs in symbolic computation,0943-853X. - Texts & monographs in symbolic computation..

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.

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.

ISBN: 9783030044800

Standard No.: 10.1007/978-3-030-04480-0doiSubjects--Topical Terms:

576021
Elliptic functions.

LC Class. No.: QA343

Dewey Class. No.: 515.983

Elliptic integrals, elliptic functions and modular forms in quantum field theory
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245 0 0 $a Elliptic integrals, elliptic functions and modular forms in quantum field theory $h [electronic resource] / $c edited by Johannes Blumlein, Carsten Schneider, Peter Paule.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xiii, 509 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Texts & monographs in symbolic computation, $x 0943-853X
505 0 $a 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.
520 $a 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.
650 0 $a Elliptic functions. $3 576021
650 0 $a Forms, Modular. $3 540521
650 0 $a Quantum field theory. $3 523766
650 1 4 $a Symbolic and Algebraic Manipulation. $3 891222
650 2 4 $a Quantum Field Theories, String Theory. $3 1067067
650 2 4 $a Mathematical Physics. $3 1542352
700 1 $a Blumlein, Johannes. $3 3384375
700 1 $a Schneider, Carsten. $3 3302219
700 1 $a Paule, Peter. $3 1532170
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Texts & monographs in symbolic computation. $3 2156374
856 4 0 $u https://doi.org/10.1007/978-3-030-04480-0
950 $a Computer Science (Springer-11645)