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Polarization in relativistic fluids: a quantum field theoretical derivation

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arxiv 2004.04050 v3 pith:OAE5MHR2 submitted 2020-04-07 hep-th nucl-th

classification hep-thnucl-th
keywords fieldquantumrelativisticspindensitycovariantfluidfunction
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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.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An improved formula for Wigner function and spin polarization in a decoupling relativistic fluid at local thermodynamic equilibrium

    nucl-th 2025-09 conditional novelty 7.0 of 10

    A new derivation gives the spin polarization of emitted fermions in terms of thermal vorticity and shear evaluated on the decoupling surface, with the shear term expressed through the local hypersurface normal rather ...

  2. Tensor spin polarization induced by curved freeze-out hypersurface

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The curvature of the freeze-out hypersurface induces a tensor spin polarization of vector mesons at leading gradient order, with predicted phi-meson spin alignment around -10^-4 to -10^-3.

  3. Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.

  4. Spin alignment of vector mesons in local equilibrium by Zubarev's approach

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.

  5. Predicted disease compositions of human gliomas estimated from multiparametric MRI can predict endothelial proliferation, tumor grade, and overall survival

    q-bio.QM 2019-08 reject novelty 5.0 of 10

    A k-NN classifier on multiparametric MRI voxels produces tissue composition estimates that associate with glioma grade and survival, but only in the same cohort used to train the classifier.

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