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Hydrodynamics, spin currents and torsion

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arxiv 2203.05044 v1 pith:25EGKNPO submitted 2022-03-09 hep-th

classification hep-th
keywords currentspinbreakingtorsionabsencearbitrarybackgroundcanonical
verification ladder T0 review T1 audit T2 compute T3 formal

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We construct the canonical constitutive relations for a fluid description of a system with a spin current, valid in an arbitrary number of dimensions in the absence of parity breaking or time reversal breaking terms. Our study encompasses the hydrostatic partition function, the entropy current, Kubo formula, conformal invariance, and the effect of charge. At some stages of the computation we turn on a background torsion tensor which naturally couples to the spin current.

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Cited by 7 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. Chiral anomaly from (anomalous) spin hydrodynamics

    hep-th 2025-05 conditional novelty 7.0 of 10

    Spinning D3-brane hydrodynamics in 10d maps to anomalous chiral hydrodynamics in 4d, identifying the R-current anomaly as a 10d gravitational anomaly.

  3. On the local thermodynamic relations in relativistic spin hydrodynamics

    nucl-th 2025-06 accept novelty 6.0 of 10

    For free fermions in rotating and accelerating global equilibrium, the derivative of pressure with respect to the spin potential differs from the spin density, and no entropy-gauge transformation can restore the stand...

  4. 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.

  5. 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.

  6. Effective Field Theories for Material Media

    hep-th 2026-07 accept novelty 4.0 of 10

    Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.

  7. 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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