The ideal relativistic fluid limit for a medium with polarization

Abstract

We use Lagrangian effective field theory techniques to construct the equations of motion for an ideal relativistic fluid whose constituent degrees of freedom have microscopic polarization. We discuss the meaning of such a system, and argue that it is the first term in the EFT appropriate for describing polarization observables in heavy ion collisions, such as final state particle polarization and chiral magnetic and vortaic effects. We show that this system will generally require non-dissipative dynamics at higher order in gradient than second order, leading to potential stability issues known with such systems. We comment on the significance of this in the light of conjectured lower limits on viscosity.

Version accepted for publication in Phys.Rev.D Discussion extended and clarified, conclusions and main ideas unchanged

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Cited by in corpus (83)

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• Thermodynamic versus kinetic approach to polarization-vorticity coupling
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• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Spin polarization evolution in a boost invariant hydrodynamical background
• Linear response theory of relativistic hydrodynamics with spin
• Causality and dissipation in relativistic polarizeable fluids
• Foundations and Applications of Quantum Kinetic Theory
• Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
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• Relativistic Spin Magnetohydrodynamics
• Spin polarization dynamics in the Gubser-expanding background
• Sound waves and vortices in a polarized relativistic fluid
• 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
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
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• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Canonical and phenomenological formulations of spin hydrodynamics
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Quantum Kinetic Theory for Quantum Electrodynamics
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• Stability studies of first order spin-hydrodynamic frameworks
• Kubo formulae for first-order spin hydrodynamics
• New Developments in Relativistic Fluid Dynamics with spin
• The causality and stability of relativistic spin-hydrodynamics
• Global polarization effect and spin-orbit coupling in strong interaction
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• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Vortex rings in fragmentation regions in heavy-ion collisions at $\sqrt{s_{NN}}=$ 39 GeV
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
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• Fluctuating Relativistic hydrodynamics from Crooks theorem
• Generalized thermodynamic relations for perfect spin hydrodynamics
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• An introduction to relativistic spin hydrodynamics
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• Linear response hydrodynamics of a relativistic dissipative fluid with spin
• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
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• Holography of Low-Centrality Heavy Ion Collisions
• Boost-invariant spin hydrodynamics with spin feedback effects
• Collective modes of polarizable holographic media in magnetic fields
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• Chiral and deconfinement transitions in spin-polarized quark matter
• Chiral and deconfinement thermal transitions at finite quark spin polarization in lattice QCD simulations
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• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism
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• Application range of perfect spin hydrodynamics
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• Hybrid framework of Fermi-Dirac spin hydrodynamics
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• Quark-hadron duality in hydrodynamics: an example
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