{
  "abstract": "We formalize the gauge structure of the Navier--Stokes equation for incompressible fluids, interpreting $\\nabla\\cdot\\mathbf{v}=0$ as a gauge fixing analogous to the Coulomb gauge in electromagnetism. We construct the Martin--Siggia--Rose action and its full BRST symmetry, introducing BRST doublets for the Gribov parameter $γ$ and the monodromy phase $θ$. Through a Higgs mechanism, $γ$ acquires a vacuum expectation value $γ_{0}$, generating a mass scale for the vorticity and the ghosts; we compute the one-loop effective potential and analyze vacuum stability. Intermittency --- measured by the exponents $ζ_{n}$ --- is described by fluctuations of the Higgs field $σ$ around the condensate, via a Gribov-inspired log-Poisson hierarchy that satisfies exactly $ζ_{3}=1$ (Kolmogorov's four-fifths law). Fits to DNS data favor filamentary vorticity structures, with $D_{f}\\approx1$ (one parameter) or $D_{f}\\approx2.1$, $Δ\\approx0.44$ (two parameters). The one-loop anomalous dimension in $d=3$, $Δ_σ\\approx0.50$, supports the identification $D_{f}=2Δ_σ$. The formalism unifies classical hydrodynamics with gauge theory and spontaneous symmetry breaking, opening the study of turbulence and intermittency to quantum field theory methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05544",
  "author_total": 1,
  "authors": [
    {
      "name": "V. E. R. Lemes"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b7fbz15020yz9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05544",
  "fulltext_url": null,
  "id": "b7fbz15020yz9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05544",
  "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-th"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.05544",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b7fbz15020yz9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.05544",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05544"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A Gauge Theory of Turbulence:",
  "title_text": "A Gauge Theory of Turbulence:",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/b7fbz15020yz9",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1515/tp-2026-0114",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}