{
  "id": "hep-th/0109084",
  "version": "v1",
  "published": "2001-09-11T22:13:40.000Z",
  "updated": "2001-09-11T22:13:40.000Z",
  "title": "Matrix $φ^4$ Models on the Fuzzy Sphere and their Continuum Limits",
  "authors": [
    "Brian P. Dolan",
    "Denjoe O'Connor",
    "P. Presnajder"
  ],
  "comment": "19 pages of LaTeX, with 3 figures",
  "journal": "JHEP 0203 (2002) 013",
  "doi": "10.1088/1126-6708/2002/03/013",
  "categories": [
    "hep-th"
  ],
  "abstract": "We demonstrate that the UV/IR mixing problems found recently for a scalar $\\phi^4$ theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modification of the action. This modification is equivalent to normal ordering the $\\phi^4$ vertex. In the limit of the commutative sphere, the perturbation theory of this modified action matches that of the commutative theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-09-11T22:13:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fuzzy sphere",
      "continuum limits",
      "uv/ir mixing problems",
      "perturbation theory",
      "modified action matches"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "Journal of High Energy Physics",
      "year": 2002,
      "month": "Mar",
      "volume": 2002,
      "number": 3,
      "pages": "013"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 562633,
      "adsabs": "2002JHEP...03..013D"
    }
  }
}