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Spin-thermal shear coupling in a relativistic fluid

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arxiv 2103.10917 v2 pith:DJCKT76P submitted 2021-03-19 nucl-th hep-thphysics.plasm-ph

classification nucl-thhep-thphysics.plasm-ph
keywords polarizationfluidrelativisticshearlocalspinthermalvector
verification ladder T0 review T1 audit T2 compute T3 formal

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We show that spin polarization of a fermion in a relativistic fluid at local thermodynamic equilibrium can be generated by the symmetric derivative of the four-temperature vector, defined as thermal shear. As a consequence, besides vorticity, acceleration and temperature gradient, also the shear tensor contributes to the polarization of particles in a fluid. This contribution to the spin polarization vector, which is entirely non-dissipative, adds to the well known term proportional to thermal vorticity and may thus have important consequences for the solution of the local polarization puzzles observed in relativistic heavy ion collisions.

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Cited by 16 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. Berry Curvature and Spin-One Color Superconductivity

    nucl-th 2024-11 conditional novelty 7.0 of 10

    In spin-one color superconductors, the topological node count is set by a generalized pairing monopole charge that includes color Berry flux, which cancels in the color-spin-locking phase and produces gapless quasipar...

  3. 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...

  4. Is nucleon spin thermalized in intermediate-energy heavy-ion collisions?

    nucl-th 2026-02 conditional novelty 6.0 of 10

    In Au+Au collisions at 50-150 AMeV, spin-thermalized formulas predict about twice the nucleon spin polarization that a spin-orbit transport model produces, indicating spin is not fully thermalized.

  5. 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.

  6. Dissipative contributions to spin polarization

    hep-ph 2025-09 conditional novelty 6.0 of 10

    A systematic first-order classification shows that almost all dissipative spin polarization effects require chiral imbalance or parity violation, and introduces a Chiral Spin Hall Effect as a probe of QCD topology.

  7. Freezeout at constant energy density and spin polarization in heavy-ion collisions

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Lambda hyperon spin polarization on an iso-energy density freezeout surface is derived in linear response theory, with corrections to isothermal freezeout controlled by a small thermodynamic coefficient C.

  8. Is the shear induced spin polarization non-dissipative?

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Shear-induced spin polarization leaves the momentum-integrated entropy production rate unchanged in chiral kinetic theory, but Zubarev's linear response suggests a dissipative origin.

  9. 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.

  10. 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.

  11. 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.

  12. Transverse and longitudinal spin alignment from color fields in heavy ion collisions

    nucl-th 2024-11 conditional novelty 6.0 of 10

    Spin alignment of phi mesons along the beam direction is predicted to exceed 1/3 for glasma fields and to show a sign-changing rapidity pattern for isotropic QGP color fields, offering a discriminating observable.

  13. 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.

  14. Dynamics of Hot QCD Matter 2024 -- Bulk Properties

    nucl-th 2024-12 conditional novelty 5.0 of 10

    This proceedings volume collects 19 conference contributions on the bulk properties of hot QCD matter, mostly extending established models and comparing them with lattice QCD and heavy-ion data.

  15. Initial conditions and bulk viscosity effects on $\Lambda$ polarization in high-energy heavy ion collisions

    hep-ph 2025-07 conditional novelty 4.0 of 10

    Bulk viscosity determines the sign of longitudinal Lambda polarization at LHC energies in hydrodynamic simulations, and the azimuthal dependence of transverse polarization is sensitive to initial-state choices.

  16. 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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