{
  "id": "cond-mat/0212280",
  "version": "v1",
  "published": "2002-12-12T14:30:38.000Z",
  "updated": "2002-12-12T14:30:38.000Z",
  "title": "Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model",
  "authors": [
    "Zengo Tsuboi"
  ],
  "comment": "24 pages, 4 figures, to appear in J. Phys. A: Math. Gen",
  "journal": "J.Phys.A36:1493,2003",
  "doi": "10.1088/0305-4470/36/5/321",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We derive traditional thermodynamic Bethe ansatz (TBA) equations for the sl(r+1) Uimin-Sutherland model from the T-system of the quantum transfer matrix. These TBA equations are identical to the ones from the string hypothesis. Next we derive a new family of nonlinear integral equations (NLIE). In particular, a subset of these NLIE forms a system of NLIE which contains only a finite number of unknown functions. For r=1, this subset of NLIE reduces to Takahashi's NLIE for the XXX spin chain. A relation between the traditional TBA equations and our new NLIE is clarified. Based on our new NLIE, we also calculate the high temperature expansion of the free energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-12T14:30:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear integral equations",
      "uimin-sutherland model",
      "derive traditional thermodynamic bethe ansatz",
      "high temperature expansion",
      "traditional tba equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2003,
      "month": "Feb",
      "volume": 36,
      "number": 5,
      "pages": 1493
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 612818,
      "adsabs": "2003JPhA...36.1493T"
    }
  }
}