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PreprintCC BY 4.0arXiv

Covariant Wigner function and spin polarization of the Rarita-Schwinger field

  • Matteo Buzzegoli
  • Aleksandar Gecic
  • Rajeev Singh
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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.

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Cite

BibTeXRIS
BibTeX
@misc{buzzegoli2026covariant,
  title = {{Covariant Wigner function and spin polarization of the Rarita-Schwinger field}},
  author = {Matteo Buzzegoli and Aleksandar Gecic and Rajeev Singh},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37382},
  eprint = {2610.37382},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37382},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Covariant Wigner function and spin polarization of the Rarita-Schwinger field
AU  - Matteo Buzzegoli
AU  - Aleksandar Gecic
AU  - Rajeev Singh
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37382
UR  - https://arxiv.org/abs/2610.37382
AB  - 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.
ER  -