{
  "abstract": "We propose a weakly coupled description of the long-range transverse-field Ising chain near its short-range crossover at $s_*=7/4$, where the couplings decay as $r^{-1-s}$. The Ising conformal field theory is coupled to an instantaneous Gaussian field through $σχ$, extending the classical long-range Ising duality to quantum chains. The equal-time interaction generates a stress-tensor deformation that causes the velocity to run and renormalizes the dynamical critical exponent $z$. Conformal perturbation theory gives $z=1-0.720\\,δ+O(δ^2)$, $1/ν=(1+z)/2+O(δ^2)$, and $ω=δ+O(δ^2)$, with $δ=s_*-s$. DMRG calculations on periodic chains of up to $128$ sites provide a consistency test using theoretical inputs for $1/ν$ and $ω$. After accounting for slow finite-size corrections, static and dynamical estimates of $z$ agree, supporting the crossover expansion at $s=1.5$ and a two-sided Padé interpolation at $s=1$, $1.25$, and $1.5$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05284",
  "author_total": 1,
  "authors": [
    {
      "name": "Junchen Rong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2d98dh720xrz8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05284",
  "fulltext_url": null,
  "id": "2d98dh720xrz8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05284",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05284",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2d98dh720xrz8.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.05284",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05284"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Crossover duality for the quantum long-range Ising chain: perturbation theory around the short-range endpoint and a DMRG test",
  "title_text": "Crossover duality for the quantum long-range Ising chain: perturbation theory around the short-range endpoint and a DMRG test",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/2d98dh720xrz8",
  "venue": "arXiv",
  "versions": []
}