{
  "abstract": "We investigate the Casimir effect of a massive, self-interacting real scalar field with quartic coupling in a $(3+1)$-dimensional Hořava-Lifshitz-type theory, subject to rough boundaries obeying Dirichlet boundary conditions. Using the effective action and generalized $ζ$-function approach, we derive the renormalized effective potential, incorporating anisotropic scaling, boundary roughness, and temperature in the low-temperature regime. We determine the topological mass at one-loop order and the Casimir energy up to two loops. In the massless limit, the topological mass and the two-loop Casimir contribution exhibit infrared divergences for odd values $z>1$, associated with the absence of an intrinsic mass scale, while the one-loop Casimir energy remains finite. For $z=1$, the standard relativistic Dirichlet result is recovered in the zero-temperature and vanishing-roughness limits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.40081",
  "author_total": 2,
  "authors": [
    {
      "name": "Claudio Bórquez"
    },
    {
      "name": "Byron Droguett"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/206qxa0qbrnwj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.40081",
  "fulltext_url": null,
  "id": "206qxa0qbrnwj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.40081",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3107|Quantum Electrodynamics and Casimir Effect"
    ]
  ],
  "openalex": "W7215073067",
  "pdf_url": "https://arxiv.org/pdf/2609.40081",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/206qxa0qbrnwj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.40081",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.40081"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Quantum corrections to the Casimir effect in a scalar Hořava-Lifshitz theory with rough plates at low temperature",
  "title_text": "Quantum corrections to the Casimir effect in a scalar Hořava-Lifshitz theory with rough plates at low temperature",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/206qxa0qbrnwj",
  "venue": "arXiv",
  "versions": []
}