{
  "id": "1304.0705",
  "version": "v1",
  "published": "2013-04-02T17:30:09.000Z",
  "updated": "2013-04-02T17:30:09.000Z",
  "title": "The Renormalization Group According to Balaban - III. Convergence",
  "authors": [
    "J. Dimock"
  ],
  "comment": "37 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This is an expository account of Balaban's approach to the renormalization group. The method is illustrated with a treatment of the ultraviolet problem for the scalar phi^4 model on a toroidal lattice in dimension d=3. In this third paper we demonstrate convergence of the expansion and complete the proof of a stability bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-02T17:30:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T17",
      "81T08",
      "81T10",
      "81T16"
    ],
    "keywords": [
      "renormalization group",
      "balabans approach",
      "stability bound",
      "expository account",
      "toroidal lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014AnHP...15.2133D"
    }
  }
}