{
  "id": "0903.3089",
  "version": "v2",
  "published": "2009-03-18T04:53:03.000Z",
  "updated": "2009-04-22T04:58:29.000Z",
  "title": "Partition function of the eight-vertex model with domain wall boundary condition",
  "authors": [
    "Wen-Li Yang",
    "Yao-Zhong Zhang"
  ],
  "comment": "Latex file, 20 pages; V2, references added",
  "journal": "J. Math. Phys. 50 (2009), 083518",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "nlin.SI"
  ],
  "abstract": "We derive the recursive relations of the partition function for the eight-vertex model on an $N\\times N$ square lattice with domain wall boundary condition. Solving the recursive relations, we obtain the explicit expression of the domain wall partition function of the model. In the trigonometric/rational limit, our results recover the corresponding ones for the six-vertex model.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-22T04:58:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "02.10.Yn"
    ],
    "keywords": [
      "domain wall boundary condition",
      "eight-vertex model",
      "domain wall partition function",
      "recursive relations",
      "six-vertex model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "doi": "10.1063/1.3205448",
      "year": 2009,
      "month": "Aug",
      "volume": 50,
      "number": 8,
      "pages": 3518
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 815708,
      "adsabs": "2009JMP....50h3518Y"
    }
  }
}