{
  "id": "cond-mat/0512529",
  "version": "v1",
  "published": "2005-12-21T10:57:49.000Z",
  "updated": "2005-12-21T10:57:49.000Z",
  "title": "Loop expansion around the Bethe-Peierls approximation for lattice models",
  "authors": [
    "Giorgio Parisi",
    "Frantisek Slanina"
  ],
  "comment": "8 pages",
  "journal": "J.Stat.Mech.0602:L02003,2006",
  "doi": "10.1088/1742-5468/2006/02/L02003",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We develop an effective field theory for lattice models, in which the only non-vanishing diagrams exactly reproduce the topology of the lattice. The Bethe-Peierls approximation appears naturally as the saddle point approximation. The corrections to the saddle-point result can be obtained systematically. We calculate the lowest loop corrections for magnetisation and correlation function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-21T10:57:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q"
    ],
    "keywords": [
      "lattice models",
      "loop expansion",
      "saddle point approximation",
      "bethe-peierls approximation appears",
      "lowest loop corrections"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 701196
    }
  }
}