{
  "id": "cond-mat/0610481",
  "version": "v4",
  "published": "2006-10-17T15:44:35.000Z",
  "updated": "2007-09-10T10:19:52.000Z",
  "title": "A new Q-matrix in the Eight-Vertex Model",
  "authors": [
    "Klaus Fabricius"
  ],
  "comment": "10 pages section on quasiperiodicity added, typo corrected, published version",
  "journal": "J.Phys.A40:4075-4086,2007",
  "doi": "10.1088/1751-8113/40/15/002",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We construct a $Q$-matrix for the eight-vertex model at roots of unity for crossing parameter $\\eta=2mK/L$ with odd $L$, a case for which the existing constructions do not work. The new $Q$-matrix $\\Q$ depends as usual on the spectral parameter and also on a free parameter $t$. For $t=0$ $\\Q$ has the standard properties. For $t\\neq 0$, however, it does not commute with the operator $S$ and not with itself for different values of the spectral parameter. We show that the six-vertex limit of $\\Q(v,t=iK'/2)$ exists.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-09-10T10:19:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eight-vertex model",
      "spectral parameter",
      "free parameter",
      "standard properties",
      "six-vertex limit"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 739981
    }
  }
}