{
  "id": "1011.4142",
  "version": "v2",
  "published": "2010-11-18T06:53:50.000Z",
  "updated": "2012-03-23T07:46:55.000Z",
  "title": "General formula for symmetry factors of Feynman diagrams",
  "authors": [
    "L. T. Hue",
    "H. T. Hung",
    "H. N. Long"
  ],
  "comment": "22 pages, wick.sty needed, revised version, reference added, accepted in Reports on Mathematical Physics",
  "journal": "Reports on Mathematical Physics, 69 (2012), 331-351",
  "doi": "10.1016/S0034-4877(13)60003-8",
  "categories": [
    "hep-th"
  ],
  "abstract": "General formula for symmetry factors (S-factor) of Feynman diagrams containing fields with high spins is derived. We prove that symmetry factors of Feynman diagrams of well-known theories do not depend on spins of fields. In contributions to S-factors, self-conjugate fields and non self-conjugate fields play the same roles as real scalar fields and complex scalar fields, respectively. Thus, the formula of S-factors for scalar theories --- theories include only real and complex scalar fields --- works on all well-known theories of fields with high spins.Two interesting consequences deduced from our result are : (i) S-factors of all external connected diagrams consisting of only vertices with three different fields, e.g., spinor QED, are equal to unity; (ii) some diagrams with different topologies can contribute the same factor, leading to the result that the inverse S-factor for the total contribution is the sum of inverse S-factors, i.e., 1/S = \\sum_i (1/S_i).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-23T07:46:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.39.St",
      "11.15.Bt"
    ],
    "keywords": [
      "symmetry factors",
      "general formula",
      "complex scalar fields",
      "well-known theories",
      "inverse s-factor"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 878142,
      "adsabs": "2010arXiv1011.4142H"
    }
  }
}