{
  "id": "1108.1335",
  "version": "v2",
  "published": "2011-08-05T14:30:44.000Z",
  "updated": "2012-12-21T18:44:08.000Z",
  "title": "The Renormalization Group According to Balaban - I. Small fields",
  "authors": [
    "J. Dimock"
  ],
  "comment": "52 pages. Some corrections, additions, reorganization",
  "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 the ultraviolet problem for the scalar phi^4 model on a toroidal lattice in dimension d=3. This yields another proof of the stability bound. In this first paper we analyze the small field contribution to the partition function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-21T18:44:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T17",
      "81T08",
      "81T10",
      "81T16"
    ],
    "keywords": [
      "renormalization group",
      "small field contribution",
      "toroidal lattice",
      "ultraviolet problem",
      "stability bound"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0129055X13300100"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 922743,
      "adsabs": "2011arXiv1108.1335D"
    }
  }
}