{
  "id": "1004.4199",
  "version": "v3",
  "published": "2010-04-23T18:30:00.000Z",
  "updated": "2010-05-06T08:38:09.000Z",
  "title": "The number of master integrals is finite",
  "authors": [
    "A. V. Smirnov",
    "A. V. Petukhov"
  ],
  "comment": "minor corrections",
  "categories": [
    "hep-th",
    "hep-ph",
    "math-ph",
    "math.AG",
    "math.MP"
  ],
  "abstract": "For a fixed Feynman graph one can consider Feynman integrals with all possible powers of propagators and try to reduce them, by linear relations, to a finite subset of integrals, the so-called master integrals. Up to now, there are numerous examples of reduction procedures resulting in a finite number of master integrals for various families of Feynman integrals. However, up to now it was just an empirical fact that the reduction procedure results in a finite number of irreducible integrals. It this paper we prove that the number of master integrals is always finite.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-05-06T08:38:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "master integrals",
      "feynman integrals",
      "finite number",
      "reduction procedure results",
      "fixed feynman graph"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11005-010-0450-0"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 852886,
      "adsabs": "2010arXiv1004.4199S"
    }
  }
}