{
  "id": "1507.03367",
  "version": "v1",
  "published": "2015-07-13T09:40:02.000Z",
  "updated": "2015-07-13T09:40:02.000Z",
  "title": "Off-diagonal Bethe Ansatz solution of the $τ_2$-model",
  "authors": [
    "Xiaotian Xu",
    "Junpeng Cao",
    "Shuai Cui",
    "Wen-Li Yang",
    "Kangjie Shi",
    "Yupeng Wang"
  ],
  "comment": "22 pages, 2 figures, 4 tables",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The generic quantum $\\tau_2$-model (also known as Baxter-Bazhanov-Stroganov (BBS) model) with periodic boundary condition is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix (solutions of the recursive functional relations in $\\tau_j$-hierarchy) with generic site-dependent inhomogeneity parameters are given in terms of an inhomogeneous T-Q relation with polynomial Q-functions. The associated Bethe Ansatz equations are obtained. Numerical solutions of the Bethe Ansatz equations for small number of sites indicate that the inhomogeneous T-Q relation does indeed give the complete spectrum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-13T09:40:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "off-diagonal bethe ansatz solution",
      "inhomogeneous t-q relation",
      "off-diagonal bethe ansatz method",
      "generic site-dependent inhomogeneity parameters",
      "associated bethe ansatz equations"
    ],
    "publication": {
      "doi": "10.1007/JHEP09(2015)212",
      "journal": "Journal of High Energy Physics",
      "year": 2015,
      "month": "Sep",
      "volume": 2015,
      "pages": 212
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JHEP...09..212X",
      "inspire": 1382638
    }
  }
}