{
  "abstract": "We study the Wilsonian exact renormalization group flow of the gauged Nambu--Jona-Lasinio (NJL) model, a four-dimensional $U(1)$ gauge theory with chirally invariant four-Fermi interactions, by using the gradient flow exact renormalization group~(GFERG). Our gauge-invariant ansatz (truncation) for the 1PI Wilson action keeps a general photon kinetic function~$\\mathcal{K}_τ(k^2)$, the fermion mass, and the scalar and vector four-Fermi couplings. For a fixed gauge coupling~$e^2$, the Gaussian and NJL (quasi-)fixed points on the critical surface merge at~$e_c^2\\simeq17$, as anticipated by the ladder Schwinger--Dyson equation and the conventional Wilsonian renormalization group. We then let $e^2$ itself flow. Owing to the manifest gauge invariance of the GFERG, the flow of~$e^2$ is governed solely by the photon anomalous dimension~$γ_A$, which remains positive along both branches up to the merging point. Hence, no fixed point with~$e^2\\neq0$ exists. Flows from a sufficiently large~$e^2$ in the ultraviolet (UV) reach the chirally broken phase even for vanishing four-Fermi couplings, so the gauge interaction does trigger chiral symmetry breaking. The merging point, however, is not a fixed point, and the gauge coupling vanishes in any continuum limit within our truncation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00559",
  "author_total": 2,
  "authors": [
    {
      "name": "Sorato Nagao"
    },
    {
      "name": "Hiroshi Suzuki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0p0zq46ak42e2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00559",
  "fulltext_url": null,
  "id": "0p0zq46ak42e2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00559",
  "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-lat"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00559",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0p0zq46ak42e2.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00559",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00559"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Wilsonian exact renormalization group flow in the gauged Nambu--Jona-Lasinio model",
  "title_text": "Wilsonian exact renormalization group flow in the gauged Nambu--Jona-Lasinio model",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/0p0zq46ak42e2",
  "venue": "arXiv",
  "versions": []
}