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High Energy Physics - Theory

arXiv:2004.04050 (hep-th)
[Submitted on 7 Apr 2020 (v1), last revised 28 Jul 2023 (this version, v3)]

Title:Polarization in relativistic fluids: a quantum field theoretical derivation

Authors:F. Becattini (University of Florence)
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Abstract:We review the calculation of polarization in a relativistic fluid within the framework of statistical quantum field theory. We derive the expressions of the spin density matrix and the mean spin vector both for a single quantum relativistic particle and for a quantum free field. After introducing the formalism of the covariant Wigner function for the scalar and the Dirac field, the relation between spin density matrix and the covariant Wigner function is obtained. The formula is applied to the fluid produced in relativistic nuclear collisions by using the local thermodynamic equilibrium density operator and recovering previously known formulae. The dependence of these results on the spin tensor and pseudo-gauge transformations of the stress-energy tensor is addressed.
Comments: 24 pages, 1 figure; version published in Lecture Notes in Physics
Subjects: High Energy Physics - Theory (hep-th); Nuclear Theory (nucl-th)
Cite as: arXiv:2004.04050 [hep-th]
  (or arXiv:2004.04050v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2004.04050
Related DOI: https://doi.org/10.1007/978-3-030-71427-7_2

Submission history

From: Francesco Becattini [view email]
[v1] Tue, 7 Apr 2020 16:30:44 UTC (80 KB)
[v2] Mon, 1 Jun 2020 17:56:29 UTC (81 KB)
[v3] Fri, 28 Jul 2023 17:13:56 UTC (81 KB)
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