{
  "abstract": "We analyze scaling limits in algebraic quantum field theory using continuous bundles of C*-algebras. Different conditions of continuity on such bundles encode different strengths of approximation of the theory by its scaling limit. As a proof of concept, we consider the small-distance scaling limit of the theory of a massive free scalar field, which corresponds to a massless free scalar field. We provide a number of examples of local algebras of observables for which the corresponding bundle of C*-algebras representing the scaling limit is merely lower semicontinuous. Further, we construct an algebra of nonlocal observables for which the corresponding bundle of C*-algebras representing the scaling limit is uniformly continuous.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40924",
  "author_total": 2,
  "authors": [
    {
      "name": "Kade Cicchella"
    },
    {
      "name": "Benjamin H. Feintzeig"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/11518zfvxz63n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40924",
  "fulltext_url": null,
  "id": "11518zfvxz63n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40924",
  "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"
    ],
    [
      "arxiv",
      "math.OA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40924",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/11518zfvxz63n.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.40924",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40924"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Scaling Limits as Extensions of Continuous Bundles of C*-algebras",
  "title_text": "Scaling Limits as Extensions of Continuous Bundles of C*-algebras",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/11518zfvxz63n",
  "venue": "arXiv",
  "versions": []
}