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Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --

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arxiv 2010.01608 v1 pith:5B6MJAMH submitted 2020-10-04 hep-th hep-ph

Kenji Fukushima , Shi Pu This is my paper · ORCID
classification hep-thhep-ph
keywords spinbelinfanteantisymmetriccanonicalcurrentenergy-momentumhydrodynamicsinduced
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We discuss a puzzle in relativistic spin hydrodynamics; in the previous formulation the spin source from the antisymmetric part of the canonical energy-momentum tensor (EMT) is crucial. The Belinfante improved EMT is pseudo-gauge transformed from the canonical EMT and is usually a physically sensible choice especially when gauge fields are coupled as in magnetohydrodynamics, but the Belinfante EMT has no antisymmetric part. We find that pseudo-transformed entropy currents are physically inequivalent in nonequilibrium situations. We also identify a current induced by the spin vorticity read from the Belinfante symmetric EMT.

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Cited by 11 Pith papers

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

  1. Pseudo-gauge invariant non-equilibrium density operator

    nucl-th 2025-07 conditional novelty 7.0 of 10

    A pseudo-gauge invariant density operator is derived, forcing the spin potential to equal thermal vorticity and reducing to the Belinfante form, thereby fixing the pseudo-gauge ambiguity in spin polarization calculations.

  2. Local Spin Polarization in Anisotropic Gubser Flow: Suppression Mechanism and Formulation Dependence

    nucl-th 2026-08 conditional novelty 6.0 of 10

    In an anisotropic Gubser flow, the longitudinal spin polarization's sign depends on which shear formulation is used, and two popular formulations show exact or near-exact cancellation between vorticity and shear contr...

  3. A symmetry-based resolution of pseudo-gauge ambiguities in local equilibrium

    nucl-th 2026-07 accept novelty 6.0 of 10

    Local-equilibrium density operators built only from genuine conserved currents are invariant under pseudo-gauge and improvement transformations of the energy-momentum and spin tensors.

  4. 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.

  5. Relativistic spin hydrodynamics with antisymmetric spin tensors and an extension of the Bargmann-Michel-Telegdi equation

    nucl-th 2025-06 conditional novelty 6.0 of 10

    A new entropy-principle formulation of relativistic spin hydrodynamics yields a modified BMT spin evolution equation and spin-induced transport corrections that map onto inverse and anomalous Hall effects.

  6. 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.

  7. 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.

  8. Spin polarization of an expanding and rotating system

    nucl-th 2024-12 conditional novelty 6.0 of 10

    Derives closed equations for spin moments and a first-order longitudinal polarization formula for a boost-invariant, rotating relativistic fluid, connecting free streaming to hydrodynamics.

  9. Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Solving perfect spin hydrodynamics on a realistic 3+1D Au+Au background requires the spin evolution to start near 4 fm/c to describe Lambda polarization data.

  10. Local spin polarization of $\Lambda$ hyperons and its interaction corrections

    nucl-th 2025-08 conditional novelty 2.0 of 10

    The CLVisc hydrodynamic model reproduces the second sine Fourier coefficient of Lambda longitudinal polarization in Au+Au collisions but fails in p+Pb collisions; the paper also surveys quantum kinetic theory and spin...

  11. 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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