{
  "id": "1112.4690",
  "version": "v1",
  "published": "2011-12-20T14:00:38.000Z",
  "updated": "2011-12-20T14:00:38.000Z",
  "title": "Renormalizability conditions for almost commutative manifolds",
  "authors": [
    "Walter D. van Suijlekom"
  ],
  "comment": "22 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We formulate conditions under which the asymptotically expanded spectral action on an almost commutative manifold is renormalizable as a higher-derivative gauge theory. These conditions are of graph theoretical nature, involving the Krajewski diagrams that classify such manifolds. This generalizes our previous result on (super)renormalizability of the asymptotically expanded Yang-Mills spectral action to a more general class of particle physics models that can be described geometrically in terms of a noncommutative space. In particular, it shows that the asymptotically expanded spectral action which at lowest order gives the Standard Model of elementary particles is renormalizable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-20T14:00:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commutative manifold",
      "renormalizability conditions",
      "asymptotically expanded spectral action",
      "particle physics models",
      "asymptotically expanded yang-mills spectral action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1082330,
      "adsabs": "2011arXiv1112.4690V"
    }
  }
}