{
  "id": "1105.4722",
  "version": "v2",
  "published": "2011-05-24T10:11:20.000Z",
  "updated": "2011-08-30T11:20:43.000Z",
  "title": "Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions",
  "authors": [
    "Tetsuo Deguchi"
  ],
  "comment": "41 pages, no figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "For the integrable spin-s XXZ chain we express explicitly any given spin-$s$ form factor in terms of a sum over the scalar products of the spin-1/2 operators. Here they are given by the operator-valued matrix elements of the monodromy matrix of the spin-1/2 XXZ spin chain. In the paper we call an arbitrary matrix element of a local operator between two Bethe eigenstates a form factor of the operator. We derive all important formulas of the fusion method in detail. We thus revise the derivation of the higher-spin XXZ form factors given in a previous paper. The revised method has several interesting applications in mathematical physics. For instance, we express the spin-$s$ XXZ correlation function of an arbitrary entry at zero temperature in terms of a sum of multiple integrals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-30T11:20:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrable spin-s xxz chain",
      "correlation function",
      "reduction formula",
      "application",
      "higher-spin xxz form factors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2012/04/P04001",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2012,
      "month": "Apr",
      "volume": 2012,
      "number": 4,
      "pages": 4001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 901093,
      "adsabs": "2012JSMTE..04..001D"
    }
  }
}