{
  "id": "1612.07024",
  "version": "v1",
  "published": "2016-12-21T09:28:34.000Z",
  "updated": "2016-12-21T09:28:34.000Z",
  "title": "Free Energy on a Cycle Graph and Trigonometric Deformation of Heat Kernel Traces on Odd Spheres",
  "authors": [
    "Nahomi Kan",
    "Kiyoshi Shiraishi"
  ],
  "comment": "21 pages, 7 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a possible deformation of the trace of the heat kernel on odd dimensional spheres, motivated by the calculation of the free energy of a scalar field on a discretized circle. By using an expansion in terms of the modified Bessel functions, we obtain the values of the free energies after a suitable regularization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-21T09:28:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free energy",
      "heat kernel traces",
      "cycle graph",
      "trigonometric deformation",
      "odd spheres"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}