{
  "abstract": "The stability of the Berezinskii--Kosterlitz--Thouless phase against long-range interactions remains an open problem. We address this question in the two-dimensional XY model with couplings decaying as $r^{-2-σ}$, by developing a real-space renormalization-group treatment near the Gaussian manifold of quasi-long-range ordered (QLRO) states. We retain the full many-body vortex interaction and show that, at leading order in the fugacity, screening by small vortex--antivortex pairs preserves its Gaussian-average representation without an expansion in the long-range coupling. Including spin waves perturbatively then yields a local stability criterion: a stable QLRO interval exists only for $σ>7/4$. We also investigate a Wilson--Fisher-like fixed point at finite coupling for $σ<7/4$, for which the retained flow predicts $ν^{-1}\\sim\\sqrt{7/4-σ}$ as it merges with the Gaussian line.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10171",
  "author_total": 1,
  "authors": [
    {
      "name": "Guido Giachetti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8zx1trmytyw5m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10171",
  "fulltext_url": null,
  "id": "8zx1trmytyw5m",
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  "landing_url": "https://hal.science/hal-05829882v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "cond-mat.quant-gas"
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      "arxiv",
      "cond-mat.stat-mech"
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      "3104|Theoretical and Computational Physics"
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  "openalex": "W7220946781",
  "pdf_url": "https://arxiv.org/pdf/2610.10171",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8zx1trmytyw5m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "hal-05829882",
      "source": "hal",
      "url": "https://hal.science/hal-05829882v1"
    },
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.10171",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10171"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Vortex screening and the fate of the BKT transition with long-range couplings",
  "title_text": "Vortex screening and the fate of the BKT transition with long-range couplings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/8zx1trmytyw5m",
  "venue": "HAL",
  "versions": []
}