Hydrodynamics of spin currents

Abstract

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.

8 pages, 1 figure; v3: references added, typos corrected

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Cited by in corpus (85)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Foundations and Applications of Quantum Kinetic Theory
• Relativistic Spin Magnetohydrodynamics
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Theories of Relativistic Dissipative Fluid Dynamics
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• New developments in relativistic magnetohydrodynamics
• Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Hydrodynamics, spin currents and torsion
• Canonical and phenomenological formulations of spin hydrodynamics
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Pseudogauge dependence of the spin polarization and of the axial vortical effect
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
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• Quantum Kinetic Theory for Quantum Electrodynamics
• Spin polarization dynamics in the non-boost-invariant background
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
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• The causality and stability of relativistic spin-hydrodynamics
• Damping of Pseudo-Goldstone Fields
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Damping of spin waves
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• Pseudo-gauge dependence of quantum fluctuations of energy in a hot relativistic gas of fermions
• Spin evolution of massive fermion in QED plasma
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Hybrid approach to perfect and dissipative spin hydrodynamics
• Emergent Dipole Gauge Fields and Fractons
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Resummed spin hydrodynamics from quantum kinetic theory
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• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
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• An introduction to relativistic spin hydrodynamics
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• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• On Nieh-Yan Transport
• Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
• Colliding localized, lumpy holographic shocks with a granular nuclear structure
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Polarization of spin-1/2 particles with effective spacetime dependent masses
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• First-order spin magnetohydrodynamics
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• Application range of perfect spin hydrodynamics
• A supersymmetric spin current
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• Hybrid framework of Fermi-Dirac spin hydrodynamics
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• A complex scalar field theory for charged fluids, superfluids, and fracton fluids
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• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields
• Tensor spin polarization induced by curved freeze-out hypersurface