{
  "abstract": "We develop a self-consistent dressing for $(1+1)$d Dirac fermions with Fierz-complete four-fermion interactions, extending the spin-charge formalism of~\\cite{Haddad2024}. By studying the associated composite connection, we characterize obstructions to trivializing the Dirac operator and prove a trivialization theorem under which spin-charge separation, half-infinite Wilson-line dressing, and flat-connection holonomy arise as regime limits of the single dressing. In particular, the chiral-difermion transition is a deconfinement transition for the spin and charge degrees of freedom, mediated by an emergent $\\mathfrak{sl}(2,\\mathbb{R})$ gauge field and measured by a Wilson-loop area law in the chiral phase. We show that our formulation provides a realization of the conjectured Faddeev--Niemi link between spin-charge separation and confinement.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.07955",
  "author_total": 7,
  "authors": [
    {
      "name": "L. Haddad"
    },
    {
      "name": "K. Gonzales"
    },
    {
      "name": "J. Kahanek"
    },
    {
      "name": "M. Kolding"
    },
    {
      "name": "J. Maguire"
    },
    {
      "name": "V. Palombi"
    },
    {
      "name": "H. Truelson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7bze2f5dgvtc3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.07955",
  "fulltext_url": null,
  "id": "7bze2f5dgvtc3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.07955",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7164024082",
  "pdf_url": "https://arxiv.org/pdf/2606.07955",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7bze2f5dgvtc3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2606.07955",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.07955"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Spin-charge deconfinement from a self-consistent dressing of Fierz-complete $(1+1)$d Dirac fermions",
  "title_text": "Spin-charge deconfinement from a self-consistent dressing of Fierz-complete (1+1)d Dirac fermions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/7bze2f5dgvtc3",
  "venue": "arXiv",
  "versions": []
}