{
  "abstract": "Existence of charged fixed points in the Abelian Higgs model with $N$ flavors in $d$ dimensions is studied using the functional renormalization group. We numerically solve the coupled fixed point equations for the scale dependent charge and the non-perturbative effective potential for the scalar field. We show that the $ε=4-d$ expansion, famously successful in theories with $O(N)$ symmetry, fails to produce reliable results when taking the $ε\\rightarrow 1$ limit. By determining global fixed point potentials, it is shown that the critical flavor number at which charged fixed points appear, modifies significantly compared to the perturbative treatment. In $d=3$, signs of a richer fixed point structure with presumably multicritical fixed points are also found. Discussions include subtleties of the gauge fixing and the corresponding modified Ward-Takahashi identities, including the possibility of a nonzero dimensionless photon mass at the infrared fixed point.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04938",
  "author_total": 2,
  "authors": [
    {
      "name": "Gergely Fejős"
    },
    {
      "name": "Shunsuke Yabunaka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/54y8yje8ek2cb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04938",
  "fulltext_url": null,
  "id": "54y8yje8ek2cb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04938",
  "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.supr-con"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7211908932",
  "pdf_url": "https://arxiv.org/pdf/2609.04938",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/54y8yje8ek2cb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:03Z",
      "native_id": "2609.04938",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04938"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.supr-con",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Global Fixed Point Potentials in the Abelian Higgs Model with $N$ flavors",
  "title_text": "Global Fixed Point Potentials in the Abelian Higgs Model with N flavors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:03Z",
  "url": "https://research.draconitic.com/paper/54y8yje8ek2cb",
  "venue": "arXiv",
  "versions": []
}