{
  "id": "1808.02807",
  "version": "v1",
  "published": "2018-08-08T14:47:50.000Z",
  "updated": "2018-08-08T14:47:50.000Z",
  "title": "Gelfand-Yaglom formula for functional determinants in higher dimensions",
  "authors": [
    "A. Ossipov"
  ],
  "comment": "13 pages",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The Gelfand-Yaglom formula relates functional determinants of the one-dimensional second order differential operators to the solutions of the corresponding initial value problem. In this work we generalise the Gelfand-Yaglom method by considering discrete and continuum partial second order differential operators in higher dimensions. To illustrate our main result we apply the generalised formula to the two-dimensional massive and massless discrete Laplace operators and calculate asymptotic expressions for their determinants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-08T14:47:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher dimensions",
      "partial second order differential operators",
      "gelfand-yaglom formula relates functional determinants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}