Feynman integrals and difference equations
| dc.creator | Moch, S. | |
| dc.creator | Schneider, C. | |
| dc.date | 2007-09-12 | |
| dc.date.accessioned | 2026-07-07T12:13:44Z | |
| dc.date.available | 2026-07-07T12:13:44Z | |
| dc.description | We 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.description | 11 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.identifier | https://arxiv.org/abs/0709.1769 | |
| dc.identifier | http://arxiv.org/abs/0709.1769 | |
| dc.identifier | PoSACAT2007:083,2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210952 | |
| dc.subject | Mathematical Physics | |
| dc.title | Feynman integrals and difference equations | |
| dc.type | text |