{
  "abstract": "The gradient flow exact renormalization group (GFERG) is a formulation of the exact renormalization group for gauge theories that provides a renormalization group flow preserving the gauge Ward--Takahashi identity exactly. In this paper, we nonperturbatively solve the GFERG flow equation for the simplest nontrivial gauge-invariant Wilson action, introduced in a previous paper, for $D$-dimensional quantum electrodynamics with~$N_f$ flavors (for all~$D$, flavors are counted in units of four-component spinors). For $D=3$ and~$D=2$, a nontrivial infrared fixed point exists even for~$N_f=1$, and the structure of the critical exponents at the fixed point is qualitatively the same as that in the large-$N_f$ limit. We also obtain the gauge-field propagator in the continuum limit; for~$D=2$, it reproduces the dynamical mass of the Schwinger model within a few percent. To the best of our knowledge, apart from the large-$N_f$ approximation, this is the first example in which the Wilson renormalization group in a gauge theory is solved nonperturbatively while manifestly preserving gauge symmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19485",
  "author_total": 2,
  "authors": [
    {
      "name": "Sorato Nagao"
    },
    {
      "name": "Hiroshi Suzuki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/21sa2zy0vw01x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19485",
  "fulltext_url": null,
  "id": "21sa2zy0vw01x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19485",
  "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",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7222343852",
  "pdf_url": "https://arxiv.org/pdf/2610.19485",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/21sa2zy0vw01x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.19485",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19485"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Gauge-invariant nonperturbative Wilson action in quantum electrodynamics II",
  "title_text": "Gauge-invariant nonperturbative Wilson action in quantum electrodynamics II",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/21sa2zy0vw01x",
  "venue": "arXiv",
  "versions": []
}