Feynman integrals and difference equations

dc.creatorMoch, S.
dc.creatorSchneider, C.
dc.date2007-09-12
dc.date.accessioned2026-07-07T12:13:44Z
dc.date.available2026-07-07T12:13:44Z
dc.descriptionWe report on the calculation of multi-loop Feynman integrals for single-scale problems by means of difference equations in Mellin space. The solution to these difference equations in terms of harmonic sums can be constructed algorithmically over difference fields, the so-called Pi-Sigma-fields. We test the implementaion of the Mathematica package Sigma on examples from recent higher order perturbative calculations in Quantum Chromodynamics.
dc.description11 pages latex, 2 figures, Proceedings of the 11th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 07), Amsterdam, The Netherlands
dc.identifierhttps://arxiv.org/abs/0709.1769
dc.identifierhttp://arxiv.org/abs/0709.1769
dc.identifierPoSACAT2007:083,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210952
dc.subjectMathematical Physics
dc.titleFeynman integrals and difference equations
dc.typetext

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