{
  "abstract": "We consider the $ϕ^4_2$ model. It has been called the simplest non- trivial super-renormalisable model. The method we use is the multiscale loop vertex expansion, an improvement of constructive field theory. We prove analyticity and Borel summability of the cumulants up to a finite order.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27188",
  "author_total": 1,
  "authors": [
    {
      "name": "Vincent Rivasseau"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/613ksedmw9z33.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27188",
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  "id": "613ksedmw9z33",
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  "landing_url": "https://hal.science/hal-05741420v1",
  "language": "en",
  "licence": "CC-BY-4.0",
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  "native_subjects": [
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      "math-ph"
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  "pdf_url": "https://arxiv.org/pdf/2608.27188",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/613ksedmw9z33.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:29Z",
      "native_id": "hal-05741420",
      "source": "hal",
      "url": "https://hal.science/hal-05741420v1"
    },
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      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.27188",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27188"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "Multiscale Loop Vertex Expansion for Cumulants, the $ϕ^4_2$ Model",
  "title_text": "Multiscale Loop Vertex Expansion for Cumulants, the ϕ^4_2 Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/613ksedmw9z33",
  "venue": "HAL",
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}