Hydrodynamic helicity polarization in relativistic heavy ion collisions

Abstract

We study helicity polarization through the (3+1) dimensional relativistic viscous hydrodynamic models at $\sqrt{s_{NN}}=200$GeV Au+Au collisions. Similar to the local spin polarization, we consider the helicity polarization beyond global equilibrium and investigate the contributions induced by thermal vorticity, shear viscous tensor, and the fluid acceleration. We find that the local helicity polarization induced by thermal vorticity dominates over other contributions. It also implies that in the low-energy collisions, the the fluid vorticity as part of thermal vorticity may play the crucial role to the total helicity polarization. Such a finding could be useful for probing the local strength of vorticity in rotational quark gluon plasmas by measuring helicity polarization. Our simulation confirms the strict space reversal symmetry, whereas we also compare our numerical results with approximated relations derived from ideal Bjorken flow. Our studies also provide a baseline for the future investigation on local parity violation through the correlations of helicity polarization.

arXiv comment27 pages, 9 figures

References in corpus (112)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• A Multi-Phase Transport Model for Relativistic Heavy Ion Collisions
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• QCD Equation of State and Hadron Resonance Gas
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
• Chiral Kinetic Theory
• Angular momentum conservation in heavy ion collisions at very high energy
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Kinetic theory with Berry curvature from quantum field theories
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Rotating quark-gluon plasma in relativistic heavy ion collisions
• Relativistic fluid dynamics with spin
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• 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
• Effects of initial flow velocity fluctuation in event-by-event (3+1)D hydrodynamics
• Vorticity in Heavy-Ion Collisions
• A study of vorticity formation in high energy nuclear collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global $\Lambda$ polarization in heavy-ion collisions from a transport model
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Shear-induced spin polarization in heavy-ion collisions
• Polarization of massive fermions in a vortical fluid
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Generating spin polarization from vorticity through nonlocal collisions
• Spin-thermal shear coupling in a relativistic fluid
• Thermal vorticity and spin polarization in heavy-ion collisions
• Collisions in Chiral Kinetic Theory
• Global $\Lambda$ Polarization in high energy collisions
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Spin tensor and its role in non-equilibrium thermodynamics
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Hydrodynamics of spin currents
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Spin polarization induced by the hydrodynamic gradients
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• The ideal relativistic fluid limit for a medium with polarization
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• 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
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• The ideal relativistic spinning gas: polarization and spectra
• Local spin polarization in high energy heavy ion collisions
• 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
• Mass Correction to Chiral Kinetic Equations
• Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Chiral kinetic theory in curved spacetime
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• The chiral anomaly, Berry's phase and chiral kinetic theory, from world-lines in quantum field theory
• 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
• Vorticity in low-energy heavy-ion collisions
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Longitudinal spin polarization in a thermal model
• Feed-down effect on $\Lambda$ spin polarization
• Disentangling covariant Wigner functions for chiral fermions
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Polarization transfer in hyperon decays and its effect in relativistic nuclear collisions
• Estimates of hyperon polarization in heavy-ion collisions at collision energies $\sqrt{s_{NN}}=$ 4--40 GeV
• Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\mathrm{NN}}}$= 200 GeV Au-Au collisions
• Spin polarization dynamics in the Gubser-expanding background
• Sound waves and vortices in a polarized relativistic fluid
• Signatures of Chiral Magnetic Effect in the Collisions of Isobars
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• A microscopic description for polarization in particle scatterings
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Perfect-fluid hydrodynamics with constant acceleration along the stream lines and spin polarization
• Vorticity and particle polarization in heavy ion collisions (experimental perspective)
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Zilch Vortical Effect, Berry Phase, and Kinetic Theory
• Hyperon Polarization from the Vortical Fluid in Low Energy Nuclear Collisions
• Chiral Kinetic Theory from Effective Field Theory Revisited
• Quantum Kinetic Theory for Quantum Electrodynamics
• Wigner functions and quantum kinetic theory of polarized photons
• Spin polarization dynamics in the non-boost-invariant background
• Chiral kinetic theory from Landau level basis
• Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions
• Chiral Radiation Transport Theory of Neutrinos
• Helical massive fermions under rotation
• Evolution of $\Lambda$ polarization in the hadronic phase of heavy-ion collisions
• Hyperon--anti-hyperon polarization asymmetry in relativistic heavy-ion collisions as an interplay between chiral and helical vortical effects
• From Chiral Kinetic Theory To Spin Hydrodynamics
• Vorticity and magnetic field production in relativistic ideal fluids
• Rise and fall of $\Lambda$ and $\bar{\Lambda }$ global polarization in semi-central heavy-ion collisions at HADES, NICA and RHIC energies from the core-corona model
• Local Spin Polarization in 200 GeV Au+Au and 2.76 TeV Pb+Pb Collisions
• Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory
• Vorticity and $\Lambda$ polarization in the microscopic transport model PACIAE
• Wigner function and kinetic theory for massive spin-1/2 particles
• The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
• Relativistic decomposition of the orbital and the spin angular momentum in chiral physics and Feynman's angular momentum paradox
• Thermal vorticity production in relativistic dissipative fluids

Cited by in corpus (16)

• Foundations and Applications of Quantum Kinetic Theory
• Relativistic Spin Magnetohydrodynamics
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Directed flow and global polarization in Au+Au collisions across energies covered by the beam energy scan at RHIC
• 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
• Impact of strong magnetic field, baryon chemical potential, and medium anisotropy on polarization and spin alignment of hadrons
• Spin Boltzmann equation for non-relativistic spin-1/2 fermions
• Guiding center hydrodynamics with spin