{
  "id": "0812.4030",
  "version": "v1",
  "published": "2008-12-21T14:37:15.000Z",
  "updated": "2008-12-21T14:37:15.000Z",
  "title": "Ising (Conformal) Fields and Cluster Area Measures",
  "authors": [
    "Federico Camia",
    "Charles M. Newman"
  ],
  "comment": "17 pages, 1 figure",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We provide a representation for the scaling limit of the d=2 critical Ising magnetization field as a (conformal) random field using SLE (Schramm-Loewner Evolution) clusters and associated renormalized area measures. The renormalized areas are from the scaling limit of the critical FK (Fortuin-Kasteleyn) clusters and the random field is a convergent sum of the area measures with random signs. Extensions to off-critical scaling limits, to d=3 and to Potts models are also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-21T14:37:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B27",
      "60K35",
      "82B43",
      "60D05"
    ],
    "keywords": [
      "cluster area measures",
      "scaling limit",
      "random field",
      "potts models",
      "critical ising magnetization field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.4030C"
    }
  }
}