{
  "abstract": "We represent constructive integrals in spatially cut-off $ϕ^4_2$ by sequences of exponential-motivic periods. For a nonzero spatial cutoff, a single Galois transformation makes the partition periods diverge in modulus along every sequence of approximations satisfying the constructive estimates. For a fixed cutoff presentation, we characterize the subgroup of transformations admitting a bounded realization on the free field's $L^1$ space and prove that all fixed-observable limits on this subgroup are a common scalar multiple of their physical values. A one-variable quartic example shows that all transformed fixed-observable sequences can converge without such a bounded realization, with limits that are not proportional to the physical values.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04148",
  "author_total": 1,
  "authors": [
    {
      "name": "Juan Carlos Sampedro"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6g6etp2tz05d5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04148",
  "fulltext_url": null,
  "id": "6g6etp2tz05d5",
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  "landing_url": "https://arxiv.org/abs/2610.04148",
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.AG"
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      "math.MP"
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      "2610|Mathematical and Theoretical Analysis"
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  "openalex": "W7220715630",
  "pdf_url": "https://arxiv.org/pdf/2610.04148",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6g6etp2tz05d5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04148",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04148"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Sequential exponential-motivic periods in spatially cut-off $ϕ^4_2$",
  "title_text": "Sequential exponential-motivic periods in spatially cut-off ϕ^4_2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/6g6etp2tz05d5",
  "venue": "arXiv",
  "versions": []
}