{
  "abstract": "We investigate the phase diagram and nature of the phase transitions of three-dimensional compact lattice Abelian Higgs models with negative gauge coupling. These models describe multicomponent complex scalar fields coupled to a compact U(1) gauge field. Negative gauge coupling favors frustrated plaquette configurations, competing with the tendency of the matter ferromagnetic-like interaction to suppress frustration. Monte Carlo simulations and finite-size scaling analyses of models with one- and two-component scalar fields of unit charge reveal a substantially richer phase structure than at nonnegative gauge coupling. For two components, the O(3) transition line associated with gauge-invariant bilinear ordering extends into the negative-coupling region, and turns into a first-order transition line with decreasing $K$, toward the fully-frustrated $K\\to -\\infty$ limit. An analogous first-order transition line is also found for the one-component scalar matter with negative gauge coupling. Both one- and two-component models exhibit two additional continuous transition lines at sufficiently large matter coupling. Their energy-cumulant scaling is consistent with three-dimensional Ising and XY critical exponents, suggesting topological transitions in the $\\mathbb Z_2$ and XY gauge universality classes, respectively. These results uncover additional phases generated by the competition between matter ordering and dynamical gauge frustration, whose physical characterization remains an open question.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03837",
  "author_total": 2,
  "authors": [
    {
      "name": "Claudio Bonati"
    },
    {
      "name": "Ettore Vicari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dzdc0ws3fk8ey.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03837",
  "fulltext_url": null,
  "id": "dzdc0ws3fk8ey",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03837",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-lat"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03837",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dzdc0ws3fk8ey.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.03837",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03837"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Lattice spin systems coupled to a compact U(1) gauge field with negative gauge coupling favoring frustration",
  "title_text": "Lattice spin systems coupled to a compact U(1) gauge field with negative gauge coupling favoring frustration",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/dzdc0ws3fk8ey",
  "venue": "arXiv",
  "versions": []
}