{
  "id": "hep-th/0608221",
  "version": "v2",
  "published": "2006-08-31T16:24:38.000Z",
  "updated": "2006-11-06T17:30:32.000Z",
  "title": "A Lorentzian version of the non-commutative geometry of the standard model of particle physics",
  "authors": [
    "John W. Barrett"
  ],
  "comment": "Approx. 14 pages. v2: minor corrections; conclusions unaffected",
  "journal": "J.Math.Phys.48:012303,2007",
  "doi": "10.1063/1.2408400",
  "categories": [
    "hep-th",
    "math.OA",
    "math.QA"
  ],
  "abstract": "A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian case is achieved by a modification of Connes' internal space geometry so that it has signature 6 (mod 8) rather than 0. The fermionic part of the Connes-Chamseddine spectral action can be formulated, and it is shown that it allows an extension with right-handed neutrinos and the correct mass terms for the see-saw mechanism of neutrino mass generation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-11-06T17:30:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.10.-g",
      "14.60.Pq",
      "02.40.Gh",
      "11.10.Nx"
    ],
    "keywords": [
      "particle physics",
      "standard model",
      "non-commutative geometry",
      "lorentzian version",
      "lorentzian signature metric"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 725117
    }
  }
}