Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model

Abstract

Using a covariant and angular-momentum-conserved chiral transport model, which takes into account the spin-orbit interactions of chiral fermions in their scatterings via the side jumps, we study the quark spin polarization in quark matter. For a system of rotating and unpolarized massless quarks in an expanding box, we find that side jumps can dynamically polarize the quark spin and result in a final quark spin polarization consistent with that of thermally equilibrated massless quarks in a self-consistent vorticity field. For the quark matter produced in noncentral relativistic heavy ion collisions, we find that in the medium rest frame both the quark local spin polarizations in the direction perpendicular to the reaction plane and along the longitudinal beam direction show an azimuthal angle dependence in the transverse plane similar to those observed in experiments for the Lambda hyperon.

arXiv comment6 pages, 3 figures

References in corpus (44)

• Quantum Spin Hall Effect in Graphene
• Anomalous Hall effect
• The Chiral Magnetic Effect
• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• A Multi-Phase Transport Model for Relativistic Heavy Ion Collisions
• Transverse and longitudinal angular momenta of light
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• Chiral Kinetic Theory
• The angular momentum controversy: What's it all about and does it matter?
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Relativistic fluid dynamics with spin
• Polarization of $\Lambda$ ($\bar{\Lambda }$) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Lorentz Invariance in Chiral Kinetic Theory
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Vortical fluid and $\Lambda$ spin correlations in high-energy heavy-ion collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Collisions in Chiral Kinetic Theory
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Spin tensor and its role in non-equilibrium thermodynamics
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Local spin polarization in high energy heavy ion collisions
• Spin polarization evolution in a boost invariant hydrodynamical background
• Global and local polarization of $\Lambda$ hyperons in Au+Au collisions at 200 GeV from STAR
• Feed-down effect on $\Lambda$ spin polarization
• Polarization transfer in hyperon decays and its effect in relativistic nuclear collisions
• Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions
• A microscopic description for polarization in particle scatterings
• Relaxation Time for Strange Quark Spin in Rotating Quark-Gluon Plasma
• Anomalous transport model study of chiral magnetic effects in heavy ion collisions
• Resolution of a conflict between Laser and Elementary Particle Physics
• Manipulating twisted electron beams
• Study of chiral vortical and magnetic effects in the anomalous transport model
• Spinodal instabilities of baryon-rich quark matter in heavy ion collisions
• Spin-dependent dynamically assisted Schwinger mechanism
• Simulating chiral anomalies with spin dynamics
• Polarization and Chirality: the quantum features of the Quark Gluon Plasma

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• Relativistic dissipative spin dynamics in the relaxation time approximation
• Spin polarization induced by the hydrodynamic gradients
• Anomalous chiral transports and spin polarization in heavy-ion collisions
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Dissipative Spin Dynamics in Relativistic Matter
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Local spin alignment of vector mesons in relativistic heavy-ion collisions
• Foundations and Applications of Quantum Kinetic Theory
• Spin Hall effect in heavy ion collisions
• Improved quark coalescence model for spin alignment and polarization of hadrons
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models
• Vorticity and Spin Polarization --- A Theoretical Perspective
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Spin Polarization Formula for Dirac Fermions at Local Equilibrium
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Wigner functions and quantum kinetic theory of polarized photons
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• New Developments in Relativistic Fluid Dynamics with spin
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• 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
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Vortex rings from high energy central p+A collisions
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Shear induced polarization: Collisional contributions
• Evolution of $\Lambda$ polarization in the hadronic phase of heavy-ion collisions
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Global polarization in heavy-ion collisions based on axial vortical effect
• Relaxation time approximation with pair production and annihilation processes
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Spin dynamics in intermediate-energy heavy-ion collisions with rigorous angular momentum conservation
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
• Revisiting angular momentum conservation in transport simulations of intermediate-energy heavy-ion collisions
• Spin Effects In Heavy Ion Collisions at High Energies
• Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from "covariant gradient expansion"
• Probing properties of nuclear spin-orbit interaction with nucleon spin polarization in intermediate-energy heavy-ion collisions
• In-medium Electromagnetic Form Factors and Spin Polarizations
• Helicity polarization in relativistic heavy ion collisions
• Probing early-time longitudinal dynamics with the $\Lambda$ hyperon's spin polarization in relativistic heavy-ion collisions
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions
• Is nucleon spin thermalized in intermediate-energy heavy-ion collisions?