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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory / edited by Johannes Blümlein, Carsten Schneider, Peter Paule.

By: Blümlein, Johannes [editor.].
Contributor(s): Paule, Peter [editor.] | Schneider, Carsten [editor.].
Material type: TextTextSeries: Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XIII, 509 pages; E 199.99 134 illustrations, 54 illustrations in color. 24 cms.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030044794 (hbk.).Subject(s): Mathematics. -- Elliptic Functions | Mathematical physics | Quantum field theory | String theory | Symbolic and Algebraic Manipulation | Mathematical Physics | Quantum Field Theories, String TheoryAdditional physical formats: Print version:: Elliptic integrals, elliptic functions and modular forms in quantum field theory.; Printed edition:: No title; Printed edition:: No titleDDC classification: 005.131
Contents:
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.
Summary: 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.
List(s) this item appears in: 2023-06-10
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		512.73 BLU (Browse shelf) Available 11057
Total holds: 0

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.

Description based on publisher-supplied MARC data.