{
  "id": "1709.06052",
  "version": "v1",
  "published": "2017-09-18T17:14:49.000Z",
  "updated": "2017-09-18T17:14:49.000Z",
  "title": "Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function",
  "authors": [
    "Michael Aizenman",
    "Simone Warzel"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A streamlined derivation of the Kac-Ward formula for the planar Ising model's partition function is presented and applied in relating the kernel of the Kac-Ward matrices' inverse with the correlation functions of the Ising model's order-disorder correlation functions. Used in the analysis is the formula's minor extension beyond planarity. A shortcut for both is enabled through the Bowen-Lanford graph zeta function relation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-18T17:14:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20",
      "05C10"
    ],
    "keywords": [
      "kac-ward formula",
      "order-disorder correlators",
      "models order-disorder correlation functions",
      "ising models partition function",
      "bowen-lanford graph zeta function relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}