{
  "id": "0907.0582",
  "version": "v3",
  "published": "2009-07-03T10:25:15.000Z",
  "updated": "2009-11-19T08:27:42.000Z",
  "title": "Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method",
  "authors": [
    "Tetsuo Deguchi",
    "Chihiro Matsui"
  ],
  "comment": "50 pages, no figure",
  "journal": "Nucl.Phys.B831:359-407,2010",
  "doi": "10.1016/j.nuclphysb.2009.12.030",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP",
    "math.QA",
    "nlin.SI"
  ],
  "abstract": "For the integrable higher-spin XXX and XXZ spin chains we present multiple-integral representations for the correlation function of an arbitrary product of Hermitian elementary matrices in the massless ground state. We give a formula expressing it by a single term of multiple integrals. In particular, we explicitly derive the emptiness formation probability (EFP). We assume $2s$-strings for the ground-state solution of the Bethe ansatz equations for the spin-$s$ XXZ chain, and solve the integral equations for the spin-$s$ Gaudin matrix. In terms of the XXZ coupling $\\Delta$ we define $\\zeta$ by $\\Delta=\\cos \\zeta$, and put it in a region $0 \\le \\zeta < \\pi/2s$ of the gapless regime: $-1 < \\Delta \\le 1$ ($0 \\le \\zeta < \\pi$), where $\\Delta=1$ ($\\zeta=0$) corresponds to the antiferromagnetic point. We calculate the zero-temperature correlation functions by the algebraic Bethe ansatz, introducing the Hermitian elementary matrices in the massless regime, and taking advantage of the fusion construction of the $R$-matrix of the higher-spin representations of the affine quantum group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-19T08:27:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "xxz spin chains",
      "integrable higher-spin xxx",
      "fusion method",
      "hermitian elementary matrices",
      "bethe ansatz equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2010,
      "month": "Jun",
      "volume": 831,
      "number": 3,
      "pages": 359
    },
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 850385,
      "adsabs": "2010NuPhB.831..359D"
    }
  }
}