{
  "abstract": "We report a matrix-free numerical pipeline for semiclassical false-vacuum decay in a four-component global-O(4) scalar theory in four Euclidean dimensions. The calculation combines continuum bounce shooting, action relaxation, channel-resolved fluctuation spectra, deflated stochastic Lanczos quadrature (SLQ), and a continuum partial-wave determinant with Gel'fand-Yaglom radial ratios and large-angular-momentum subtraction. For the benchmark potential, the bounce action is B = 145.203947 and the tail residual is 0.281955%. On an L = 26, h = 0.8 lattice, the relaxed field achieves an RMS EOM residual of 4.43 x 10^-12; its low spectrum contains one negative radial mode, four lattice translations, and three near-zero internal modes. The 16-probe bare SLQ trace-log is -2079.9042 +/- 6.4504. Under the subtraction prescription, the scalar partial-wave calculation returns a primed trace-log of 40.9324 at mu = mF = sqrt(0.4), giving a determinant factor of 1.2931 x 10^-9. We show the leading rho^8 potential is not closed under its scalar one-loop divergence: local rho^10 and rho^12 counterterms are required, leaving finite coefficients unmatched; hence this is a prescription-level result, not a complete EFT prediction. The translation-normalized scalar expression is 5.9974 x 10^-70 in lattice energy units to the fourth power, omitting the internal-orientation Jacobian. We summarize tested SU(2) operator and pole-algebra infrastructure, identifying finite full-gauge matching and controlled limits as open work.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30341",
  "author_total": 1,
  "authors": [
    {
      "name": "Merritt s. Cook"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e2a60qmn29xp6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30341",
  "fulltext_url": null,
  "id": "e2a60qmn29xp6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30341",
  "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-lat"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7223265806",
  "pdf_url": "https://arxiv.org/pdf/2610.30341",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e2a60qmn29xp6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30341",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30341"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Higgs Fluctuation Solver in Four Dimensions: Part I-A Matrix-Free Global-Scalar Bounce and Determinant-Renormalization Audit",
  "title_text": "Higgs Fluctuation Solver in Four Dimensions: Part I-A Matrix-Free Global-Scalar Bounce and Determinant-Renormalization Audit",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/e2a60qmn29xp6",
  "venue": "arXiv",
  "versions": []
}