{
  "abstract": "A bstract : Renormalisation is traditionally understood to be a Wilsonian memoryless process in which ultraviolet (UV) degrees of freedom gradually decouple, leaving an autonomous infrared (IR) description. However this need not be the case: in UV/IR mixed theories correlations between widely separated scales can persist. In this work I recast UV/IR mixing as a Hilbert-space phenomenon, realised as correlations across renormalisation scales. This formulation is implemented using the Born-Reciprocal Tensor Network (BRTN), a new configuration of tensor network that is globally symmetric under phase-space reciprocity. On this network I prepare the vacuum and reproduce the expected radiative corrections. The resulting renormalisation geometry exhibits memory, with a bridge linking reciprocal representations of IR physics, whose cross-bridge entanglement provides a precise criterion for the viability of an effective description. I analyse when this criterion is met, and show that there is a large-volume limit, with the fundamental scale held fixed, in which the obstruction to a local description dilutes: Wilsonian behaviour is restored and renormalisation forgets. The BRTN therefore provides a concrete and calculable platform for UV/IR mixing.",
  "abstract_shown": true,
  "affiliations": [
    "Durham University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Steven Abel",
      "orcid": "0000-0003-1213-907X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dzhv63egmkss5.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)025",
  "fulltext_url": null,
  "id": "dzhv63egmkss5",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/10.1007/JHEP10(2026)025",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7164988645",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)025.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/dzhv63egmkss5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)025",
      "source": "crossref",
      "url": "https://link.springer.com/10.1007/JHEP10(2026)025"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Noncommutative and Quantum Gravity Theories",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "When renormalisation remembers: UV/IR mixing as an entanglement bridge",
  "title_text": "When renormalisation remembers: UV/IR mixing as an entanglement bridge",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/dzhv63egmkss5",
  "venue": "Journal of High Energy Physics",
  "versions": []
}