{
  "abstract": "Using fractional anomalous determinants, we construct a model of the trace and axial anomalies of a $SU(3)$ gauge theory at nonzero $θ$ angle through the couplings to scalar and pseudoscalar glueballs. In the pure gauge theory, we reproduce the $θ$ dependence of the vacuum energy and the scalar-glueball mass from the lattice, and estimate the jump in the topological charge density for the first-order transition at $θ= π$. In QCD, the coupling of a pseudoscalar glueball to fractional anomalous determinants describes all of the four three-pseudoscalar decay channels of the $0^{-+}$ glueball candidate $X(2370)$ measured by the BESIII collaboration. Measuring the decay rates for $ηηη$ and $ηηη'$ can provide a stringent test of the model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.00484",
  "author_total": 6,
  "authors": [
    {
      "name": "Francesco Giacosa"
    },
    {
      "name": "Shahriyar Jafarzade"
    },
    {
      "name": "Győző Kovács"
    },
    {
      "name": "Péter Kovács"
    },
    {
      "name": "Robert D. Pisarski"
    },
    {
      "name": "Fabian Rennecke"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/316ptp94afann.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.00484",
  "fulltext_url": null,
  "id": "316ptp94afann",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.00484",
  "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-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7215712834",
  "pdf_url": "https://arxiv.org/pdf/2610.00484",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/316ptp94afann.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.00484",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.00484"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Glueballs and fractional anomalous determinants at nonzero $θ$, and the decays of the X(2370)",
  "title_text": "Glueballs and fractional anomalous determinants at nonzero θ, and the decays of the X(2370)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/316ptp94afann",
  "venue": "arXiv",
  "versions": []
}