{
  "annotation_id": "a9a5e248-79fe-47df-a3dc-9bd8c8cc0c94",
  "date_created": "2026-03-02T18:01:56.505000Z",
  "date_modified": "2026-03-02T18:01:56.505000Z",
  "file_hash": "0a55a5777b0b539e3d2febfdfdae8a267900f1fba893d57ab408e899cb6e7299",
  "private": false,
  "record": {
    "abstract": "Casimir energy is a nonlocal effect; its magnitude cannot be deduced from\nheat kernel expansions, even those including the integrated boundary terms. On\nthe other hand, it is known that the divergent terms in the regularized (but\nnot yet renormalized) total vacuum energy are associated with the heat kernel\ncoefficients. Here a recent study of the relations among the eigenvalue\ndensity, the heat kernel, and the integral kernel of the operator\n$e^{-t\\sqrt{H}}$ is exploited to characterize this association completely.\nVarious previously isolated observations about the structure of the regularized\nenergy emerge naturally. For over 20 years controversies have persisted\nstemming from the fact that certain (presumably physically meaningful) terms in\nthe renormalized vacuum energy density in the interior of a cavity become\nsingular at the boundary and correlate to certain divergent terms in the\nregularized total energy. The point of view of the present paper promises to\nhelp resolve these issues.",
    "arxiv_id": "quant-ph/0302117",
    "authors": [
      "S. A. Fulling"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/36/24/320",
    "journal_ref": "J.Phys.A36:6857-6873,2003",
    "title": "Systematics of the Relationship between Vacuum Energy Calculations and   Heat Kernel Coefficients",
    "url": "https://arxiv.org/abs/quant-ph/0302117"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d90ec35-5683-46e0-9d20-e892e11d949b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}