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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

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

Kenji Fukushima , Shi Pu This is my paper
classification hep-th hep-ph
keywords spinbelinfanteantisymmetriccanonicalcurrentenergy-momentumhydrodynamicsinduced
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 6 Pith papers

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

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

    nucl-th 2026-07 accept novelty 6.0

    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.

  2. Exact expectation values in a boost-invariant fluid of Dirac fermions with finite spin density

    hep-th 2026-04 unverdicted novelty 6.0

    Exact calculations in a boost-invariant free Dirac fermion fluid show spin polarization arises only from finite spin potential, with shear-induced polarization and spin Hall effect absent.

  3. Dissipative spin hydrodynamics in Bjorken flow and thermal dilepton production

    nucl-th 2026-04 unverdicted novelty 6.0

    Spin dynamics in dissipative hydrodynamics enhance thermal dilepton yields relative to standard viscous hydrodynamics in Bjorken flow, with the enhancement depending on spin transport coefficients.

  4. Attractors in a Generalized Relativistic Second Order Spin Hydrodynamics

    hep-ph 2026-05 unverdicted novelty 4.0

    Derives early-time fixed point structure and late-time asymptotics for spin density attractors in generalized second-order spin hydrodynamics using Zubarev's formalism in the spin probe limit.

  5. Boost-invariant perfect Fermi-Dirac spin hydrodynamics

    hep-ph 2026-04 unverdicted novelty 4.0

    Fermi-Dirac statistics in boost-invariant perfect spin hydrodynamics produce evolution differences about one order of magnitude smaller than spin-feedback corrections, with special functions conveniently parametrized.

  6. Spin dynamics and polarization in relativistic systems: recent developments

    nucl-th 2026-05 unverdicted novelty 1.0

    The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.