{
  "abstract": "We study the covariant Wigner function for the spin-$3/2$ Rarita-Schwinger field and its relation to the spin density matrix and the mean spin polarization vector. We obtain a formula relating the covariant Wigner function to the mean spin vector for a weakly interacting field. We then calculate the mean spin vector induced by thermal vorticity, thermal shear, and spin potential at local thermal equilibrium in the Belinfante, canonical and GLW pseudo-gauges. The resulting formula can be used to predict the spin polarization of spin-$3/2$ hadrons, such as the $Ω^-$, in heavy-ion collisions. Differences in the thermal-shear induced polarization in the canonical and Belinfante pseudo-gauges make it possible to use local spin polarization measurements of the $Ω^-$ to discriminate between the two pseudo-gauges.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37382",
  "author_total": 3,
  "authors": [
    {
      "name": "Matteo Buzzegoli"
    },
    {
      "name": "Aleksandar Gecic"
    },
    {
      "name": "Rajeev Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/19978w7esr9p3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37382",
  "fulltext_url": null,
  "id": "19978w7esr9p3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37382",
  "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-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7224081333",
  "pdf_url": "https://arxiv.org/pdf/2610.37382",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/19978w7esr9p3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37382",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37382"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Covariant Wigner function and spin polarization of the Rarita-Schwinger field",
  "title_text": "Covariant Wigner function and spin polarization of the Rarita-Schwinger field",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/19978w7esr9p3",
  "venue": "arXiv",
  "versions": []
}