{
  "id": "1105.4952",
  "version": "v2",
  "published": "2011-05-25T07:48:01.000Z",
  "updated": "2011-06-10T00:28:42.000Z",
  "title": "Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain",
  "authors": [
    "Tetsuo Deguchi",
    "Jun Sato"
  ],
  "journal": "SIGMA 7:056,2011",
  "doi": "10.3842/SIGMA.2011.056",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show some symmetry relations among the correlation functions of the integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the one-point functions in the spin-1 case. We review the multiple-integral representations of correlation functions for the integrable higher-spin XXZ chains derived in a region of the massless regime including the anti-ferromagnetic point. Here we make use of the gauge transformations between the symmetric and asymmetric R-matrices, which correspond to the principal and homogeneous gradings, respectively, and we send the inhomogeneous parameters to the set of complete 2s-strings. We also give a numerical support for the analytical expression of the one-point functions in the spin-1 case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-10T00:28:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-point functions",
      "quantum group",
      "explicit evaluation",
      "higher-spin xxz chains",
      "correlation functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2011,
      "month": "Jun",
      "volume": 7,
      "pages": "056"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 901220,
      "adsabs": "2011SIGMA...7..056D"
    }
  }
}