{
  "annotation_id": "7a8c291e-a14c-4b41-9fee-74524d21a7e7",
  "date_created": "2026-02-17T05:53:15.888000Z",
  "date_modified": "2026-02-17T05:53:15.888000Z",
  "file_hash": "f605b469be878714a0682ae767629174db271cb1a813527ee808c025e990e3fd",
  "private": false,
  "record": {
    "abstract": "Computing functional determinants of differential operators is central to any field-theoretical calculation relying on a saddle-point expansion. A variety of approaches is available for the computation that avoid having to know the eigenspectrum of the operator, and in particular the Gel\u0027fand-Yaglom theorem and the Green\u0027s function method. In this note, we show how both approaches can be constructed using a contour integral argument and conclude that these are completely equivalent for computing ratios of determinants of one-dimensional operators. Furthermore, we comment on the presence of vanishing as well as negative eigenvalues and show how the Green\u0027s function method provides a natural prescription for handling them.",
    "arxiv_id": "2601.08686",
    "authors": [
      "Matthias Carosi"
    ],
    "categories": [
      "hep-th",
      "hep-ph",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "On equivalent methods for functional determinants",
    "url": "https://arxiv.org/abs/2601.08686",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8ddffd39-f4fc-44d2-b189-6e2c35d0e62d",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}