{
  "abstract": "After removing the constant adjoint modes associated with global gauge rotations, we recast the Landau-gauge Faddeev-Popov zero-mode problem in Birman-Schwinger form on a periodic domain. The construction yields a self-adjoint Faddeev-Popov realization under the stated regularity assumptions and a normalized operator with a fixed spectral criterion for the first Gribov horizon. The same formulation relates the horizon condition to the ghost resolvent at fixed gauge background while distinguishing fixed-background spectral information from ensemble-averaged propagators. For a periodic transverse background in SU(2) Yang-Mills theory, the zero-mode equation reduces to a Mathieu problem, allowing the horizon threshold to be determined independently through spectral and finite-channel methods. The construction also yields explicit volume dependence for the critical background and its classical action.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.14425",
  "author_total": 1,
  "authors": [
    {
      "name": "Daniel G. Tedesco"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8twqtzgsdek3z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.14425",
  "fulltext_url": null,
  "id": "8twqtzgsdek3z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.14425",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7169531819",
  "pdf_url": "https://arxiv.org/pdf/2607.14425",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8twqtzgsdek3z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2607.14425",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.14425"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Birman-Schwinger Formulation of the Faddeev-Popov Zero-Mode Problem",
  "title_text": "Birman-Schwinger Formulation of the Faddeev-Popov Zero-Mode Problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/8twqtzgsdek3z",
  "venue": "arXiv",
  "versions": []
}