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Spin Polarization Formula for Dirac Fermions at Local Equilibrium

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arxiv 2109.15301 v3 pith:YCAO2GXP submitted 2021-09-30 nucl-th hep-phnucl-ex

classification nucl-thhep-phnucl-ex
keywords spinpolarizationformulapotentialdiracequilibriumfermionslocal
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We derive a Cooper-Frye type spin polarization formula for Dirac fermions at local thermal equilibrium described by a grand canonical ensemble specified by temperature, fluid velocity, chemical potential, and spin potential. We discuss the physical meaning of different contributions to spin polarization and compare them with previous works. The present formula provides machinery to convert the spin potential computed in, e.g., relativistic spin hydrodynamics to the spin polarization observable in, e.g., heavy-ion collisions.

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Cited by 6 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. Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator

    nucl-th 2025-05 conditional novelty 6.0 of 10

    Second-order spin hydrodynamics is extended with nonlocal memory corrections, adding new acceleration-dependent terms to diffusion, rotational stress, and heat-current equations.

  4. 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.

  5. 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.

  6. An introduction to relativistic spin hydrodynamics

    nucl-th 2024-11 accept novelty 1.0 of 10

    A review that derives the constitutive equations of relativistic spin hydrodynamics from thermodynamics and surveys challenges like pseudo-gauge ambiguity and spin freeze-out.

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