{
  "id": "1806.03742",
  "version": "v1",
  "published": "2018-06-10T23:20:29.000Z",
  "updated": "2018-06-10T23:20:29.000Z",
  "title": "Dimer Model: Full Asymptotic Expansion of the Partition Function",
  "authors": [
    "Pavel Bleher",
    "Brad Elwood",
    "Dražen Petrović"
  ],
  "comment": "26 pages, 1 figure",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give a complete rigorous proof of the full asymptotic expansion of the partition function of the dimer model on a square lattice on a torus for general weights $z_h, z_v$ of the dimer model and arbitrary dimensions of the lattice $m, n$. We assume that $m$ is even and we show that the asymptotic expansion depends on the parity of $n$. We review and extend the results of Ivashkevich, Izmailian, and Hu [6] on the full asymptotic expansion of the partition function of the dimer model, and we give a rigorous estimate of the error term in the asymptotic expansion of the partition function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-10T23:20:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23"
    ],
    "keywords": [
      "full asymptotic expansion",
      "partition function",
      "dimer model",
      "complete rigorous proof",
      "square lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}