Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory

Abstract

We apply the Wigner-function approach and chiral kinetic theory to investigate the angular momentum and polarization of chiral fluids composed of Weyl fermions with background electric/magnetic fields and vorticity. It is found that the quantum corrections in Wigner functions give rise to nonzero anti-symmetric components in the canonical energy-momentum tensors, which are responsible for the spin-orbit interaction. In global equilibrium, conservation of the canonical angular momentum reveals the cancellation between the orbital component stemming from side jumps with nonzero vorticity and the spin component in the presence of an axial chemical potential. We further analyze the conservation laws near local equilibrium. It turns out that the canonical angular momentum is no longer conserved even in the absence of background fields due to the presence of a local torque coming from the spin-orbit interaction involving temperature/chemical-potential gradients, which is implicitly led by collisions.

20 pages, paragraphs extended, the entropy-density current added, journal version accepted by PRD

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Cited by in corpus (36)

• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Generating spin polarization from vorticity through nonlocal collisions
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Foundations and Applications of Quantum Kinetic Theory
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Spin polarization dynamics in the Gubser-expanding background
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• Spin alignment of vector mesons by glasma fields
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Wigner functions and quantum kinetic theory of polarized photons
• Chiral Radiation Transport Theory of Neutrinos
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• Spin polarization and correlation of quarks from glasma
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
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• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Causal and stable first-order chiral hydrodynamics
• Eddy magnetization from the chiral Barnett effect
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Magnetic field induced neutrino chiral transport near equilibrium
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Signatures of the vortical quark-gluon plasma in hadron yields
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• First-order relativistic hydrodynamics with an information current
• Relativistic hydrodynamics with spin
• Anomalous spin polarization from turbulent color fields