{
  "id": "0709.1769",
  "version": "v1",
  "published": "2007-09-12T08:07:05.000Z",
  "updated": "2007-09-12T08:07:05.000Z",
  "title": "Feynman integrals and difference equations",
  "authors": [
    "S. Moch",
    "C. Schneider"
  ],
  "comment": "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",
  "journal": "PoSACAT2007:083,2007",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-12T08:07:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "difference equations",
      "multi-loop feynman integrals",
      "mathematica package sigma",
      "higher order perturbative calculations",
      "mellin space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 760638,
      "adsabs": "2007arXiv0709.1769M"
    }
  }
}