{
  "id": "1908.00032",
  "version": "v1",
  "published": "2019-07-31T18:17:28.000Z",
  "updated": "2019-07-31T18:17:28.000Z",
  "title": "Why scalar products in the algebraic Bethe ansatz have determinant representation",
  "authors": [
    "S. Belliard",
    "N. A. Slavnov"
  ],
  "comment": "16 pages, no figures",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We show that the scalar products of on-shell and off-shell Bethe vectors in the algebra1ic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken $U(1)$ symmetry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-31T18:17:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic bethe ansatz",
      "scalar products",
      "determinant representation",
      "algebra1ic bethe ansatz solvable models",
      "bethe ansatz solvable models satisfy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}