Hydrodynamics, spin currents and torsion

Abstract

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.

arXiv comment46 pages + appendices

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Cited by in corpus (18)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Theories of Relativistic Dissipative Fluid Dynamics
• New developments in relativistic magnetohydrodynamics
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• An introduction to relativistic spin hydrodynamics
• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
• Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
• Dissipative fracton superfluids
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• A supersymmetric spin current
• On the non-uniqueness of the energy-momentum and spin currents
• Guiding center hydrodynamics with spin
• A complex scalar field theory for charged fluids, superfluids, and fracton fluids
• Thermal response of the Nieh-Yan term
• Perfect spinfluid: A divergence-type approach
• On the local thermodynamic relations in relativistic spin hydrodynamics
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields