{
  "id": "2105.01352",
  "version": "v1",
  "published": "2021-05-04T08:07:36.000Z",
  "updated": "2021-05-04T08:07:36.000Z",
  "title": "T-W relation and free energy of the Heisenberg chain at a finite temperature",
  "authors": [
    "Pengcheng Lu",
    "Yi Qiao",
    "Junpeng Cao",
    "Wen-Li Yang",
    "Kangjie Shi",
    "Yupeng Wang"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t-W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the NLIE. This method can be generalized to other lattice quantum integrable models. Taking the SU(3)-invariant quantum spin chain as an example, we construct the corresponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-04T08:07:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free energy",
      "t-w relation",
      "heisenberg chain",
      "finite temperature",
      "nonlinear integral equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}