{
  "abstract": "We reconsider the vacuum (Casimir) energy of a massive scalar field obeying Dirichlet boundary conditions inside a spherical cavity. Using zeta-function regularization, we carefully recalculate the analytic part of the zeta function via the uniform asymptotic expansion of the modified Bessel functions. We correct a sign error present in an earlier calculation (PR D56 (1997) 4896) that affected the large-mass behavior. The renormalized vacuum energy is shown to vanish for large mass, as required on physical grounds. Numerical results reveal that the energy changes sign several times as a function of the cavity radius.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39540",
  "author_total": 2,
  "authors": [
    {
      "name": "M. Bordag"
    },
    {
      "name": "I. G. Pirozhenko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bcgtqdzr9ycma.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39540",
  "fulltext_url": null,
  "id": "bcgtqdzr9ycma",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39540",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.39540",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bcgtqdzr9ycma.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2609.39540",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39540"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Reconsidering the Vacuum Energy of a Massive Scalar Field in a Spherical Cavity",
  "title_text": "Reconsidering the Vacuum Energy of a Massive Scalar Field in a Spherical Cavity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/bcgtqdzr9ycma",
  "venue": "arXiv",
  "versions": []
}