{
  "id": "math-ph/0309064",
  "version": "v2",
  "published": "2003-09-30T17:25:43.000Z",
  "updated": "2004-02-23T17:34:39.000Z",
  "title": "On the partition function of the six-vertex model with domain wall boundary conditions",
  "authors": [
    "Filippo Colomo",
    "Andrei Pronko"
  ],
  "comment": "typos corrected",
  "journal": "J.Phys.A37:1987-2002,2004",
  "doi": "10.1088/0305-4470/37/6/003",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The six-vertex model on an $N\\times N$ square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the model is given. The kernel of the corresponding integral operator is of the so-called integrable type, and involves classical orthogonal polynomials. From this representation, a ``reconstruction'' formula is proposed, which expresses the partition function as the trace of a suitably chosen quantum operator, in the spirit of corner transfer matrix and vertex operator approaches to integrable spin models.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-23T17:34:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "domain wall boundary conditions",
      "partition function",
      "six-vertex model",
      "vertex operator approaches",
      "fredholm determinant representation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2004,
      "month": "Feb",
      "volume": 37,
      "number": 6,
      "pages": 1987
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 629569,
      "adsabs": "2004JPhA...37.1987C"
    }
  }
}