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Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation

8 Pith papers cite this work. Polarity classification is still indexing.

8 Pith papers citing it
abstract

Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non-hydrodynamic modes corresponding to a spin vector, whose relaxation time is controlled by a new transport coefficient: the rotational viscosity. We study linear response theory and observe an interesting mode mixing phenomenon between the transverse shear and the spin density modes. We propose several field-theoretical ways to compute the spin relaxation time and the rotational viscosity, via the Green-Kubo formula based on retarded correlation functions.

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2026 7 2025 1

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representative citing papers

Carroll hydrodynamics with spin

hep-th · 2026-01-21 · unverdicted · novelty 6.0

Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.

Boost-invariant and cylindrically symmetric perfect spin hydrodynamics

hep-ph · 2026-05-03 · unverdicted · novelty 5.0

In boost-invariant cylindrical spin hydrodynamics, azimuthal-longitudinal coupling in the spin tensor produces nonzero total polarization only via the longitudinal magnetic component coupled to the azimuthal electric component.

Effective Field Theories for Material Media

hep-th · 2026-07-07 · accept · novelty 4.0

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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