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

Format:

Book

Contributor:

Blümlein, J. (Johannes), editor.

Schneider, Carsten, editor.

Paule, Peter, editor.

SpringerLink (Online service)

Series:

Computer Science (Springer-11645)

Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,. 0943-853X

Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria, 0943-853X

Language:

English

Subjects (All):

Computer science--Mathematics.

Computer science.

Quantum field theory.

String models.

Mathematical physics.

Symbolic and Algebraic Manipulation.

Quantum Field Theories, String Theory.

Mathematical Physics.

Local Subjects:

Symbolic and Algebraic Manipulation.

Quantum Field Theories, String Theory.

Mathematical Physics.

Physical Description:

1 online resource (XIII, 509 pages) : 134 illustrations, 54 illustrations in color.

Edition:

First edition 2019.

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2019.

System Details:

text file PDF

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. .

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.

Other Format:

Printed edition:

ISBN:

978-3-030-04480-0

9783030044800

9783030044794

9783030044817

Access Restriction:

Restricted for use by site license.