{
  "id": "1408.5367",
  "version": "v1",
  "published": "2014-08-22T17:41:37.000Z",
  "updated": "2014-08-22T17:41:37.000Z",
  "title": "Rethinking Connes' approach to the standard model of particle physics via non-commutative geometry",
  "authors": [
    "Shane Farnsworth",
    "Latham Boyle"
  ],
  "comment": "5 pages",
  "categories": [
    "hep-th",
    "hep-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Connes' non-commutative geometry (NCG) is a generalization of Riemannian geometry that is particularly apt for expressing the standard model of particle physics coupled to Einstein gravity. In a previous paper, we suggested a reformulation of this framework that is: (i) simpler and more unified in its axioms, and (ii) allows the Lagrangian for the standard model of particle physics (coupled to Einstein gravity) to be specified in a way that is tighter and more explanatory than the traditional algorithm based on effective field theory. Here we explain how this same reformulation yields a new perspective on the symmetries of a given NCG. Applying this perspective to the NCG traditionally used to describe the standard model we find, instead, an extension of the standard model by an extra $U(1)_{B-L}$ gauge symmetry, and a single extra complex scalar field $\\sigma$, which is a singlet under $SU(3)_{C}\\times SU(2)_{L}\\times U(1)_{Y}$, but has $B-L=2$. This field has cosmological implications, and offers a new solution to the discrepancy between the observed Higgs mass and the NCG prediction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-22T17:41:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "standard model",
      "particle physics",
      "non-commutative geometry",
      "rethinking connes",
      "single extra complex scalar field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1367-2630/17/2/023021",
      "journal": "New Journal of Physics",
      "year": 2015,
      "month": "Feb",
      "volume": 17,
      "number": 2,
      "pages": "023021"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1312007,
      "adsabs": "2015NJPh...17b3021F"
    }
  }
}