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Hydrodynamics, spin currents and torsion
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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.
Forward citations
Cited by 7 Pith papers
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Pseudo-gauge invariant non-equilibrium density operator
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.
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Chiral anomaly from (anomalous) spin hydrodynamics
Spinning D3-brane hydrodynamics in 10d maps to anomalous chiral hydrodynamics in 4d, identifying the R-current anomaly as a 10d gravitational anomaly.
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On the local thermodynamic relations in relativistic spin hydrodynamics
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...
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Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator
Second-order spin hydrodynamics is extended with nonlocal memory corrections, adding new acceleration-dependent terms to diffusion, rotational stress, and heat-current equations.
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Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
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.
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Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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An introduction to relativistic spin hydrodynamics
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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