Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions

Abstract

Relativistic hydrodynamics has been quite successful in describing the properties of strongly-interacting matter produced in heavy-ion collision experiments. Recently, there has been a significant advancement in this field to explain the spin polarization of hadrons emitted in these processes. Although current models have successfully explained some of the experimental data based on spin-vorticity coupling, they still lack a clear understanding of differential measurements. This is an indication that the spin needs to be treated as an independent degree of freedom whose dynamics is not entirely bound to flow circulation. In particular, if the spin is a macroscopic property of the system, in equilibrium its dynamics should follow hydrodynamic laws. In this thesis, we develop a framework of relativistic perfect-fluid hydrodynamics which includes spin degrees of freedom from kinetic theory, and use it for modeling the dynamics of matter produced in relativistic heavy-ion collisions. Following experimental observations, we assume that the polarization effects are small and derive conservation laws for net-baryon current, energy-momentum tensor, and spin tensor based on the de Groot-van Leeuwen-van Weert pseudogauge. Subsequently, we present various properties of the spin polarization tensor and its components, analyze the propagation properties of the spin polarization components, and derive the spin-wave velocity for arbitrary statistics. We find that only the transverse spin components propagate, analogously to the EM waves. Finally, we study the spacetime evolution of spin polarization for the systems respecting certain spacetime symmetries and calculate the mean spin polarization per particle, which can be compared to the experimental data. We find that, for some observables, our spin polarization results agree qualitatively with the experimental findings and other model calculations.

arXiv commentIJMPA version

References in corpus (191)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• The Chiral Magnetic Effect
• Theory of ultracold Fermi gases
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Heavy quarkonium: progress, puzzles, and opportunities
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• NJL-model analysis of dense quark matter
• New Forms of QCD Matter Discovered at RHIC
• Hydrodynamics with Triangle Anomalies
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Observation of a Centrality-Dependent Dijet Asymmetry in Lead-Lead Collisions at sqrt(S(NN))= 2.76 TeV with the ATLAS Detector at the LHC
• Hydrodynamic Modeling of Heavy-Ion Collisions
• Observation and studies of jet quenching in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV
• Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions
• Holography and hydrodynamics: diffusion on stretched horizons
• New Developments in Relativistic Viscous Hydrodynamics
• Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Chiral Kinetic Theory
• Angular momentum conservation in heavy ion collisions at very high energy
• The angular momentum controversy: What's it all about and does it matter?
• Physics of Strongly coupled Quark-Gluon Plasma
• Chiral Magnetic Wave
• 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
• New theories of relativistic hydrodynamics in the LHC era
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Symmetry constraints on generalizations of Bjorken flow
• 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
• Charged Meson Rapidity Distributions in central Au+Au Collisions at sqrt(s_nn) = 200 GeV
• Lorentz Invariance in Chiral Kinetic Theory
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Vorticity in Heavy-Ion Collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global $\Lambda$ polarization in heavy-ion collisions from a transport model
• Global quark polarization in non-central $A+A$ collisions
• Polarization and Vorticity in the Quark Gluon Plasma
• Observation of Direct Photons in Central 158 A GeV 208Pb+208Pb Collisions
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Description of the RHIC p_T-spectra in a thermal model with expansion
• Relativistic hydrodynamics for spin-polarized fluids
• Vortical fluid and $\Lambda$ spin correlations in high-energy heavy-ion collisions
• 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
• Conformal hydrodynamics in Minkowski and de Sitter spacetimes
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Estimation of the shear viscosity at finite net-baryon density from A+A collision data at $\sqrt{s_{\mathrm{NN}}}=7.7-200$ GeV
• Generating spin polarization from vorticity through nonlocal collisions
• Entropy production in collisions of gravitational shock waves and of heavy ions
• Entropy Current in Conformal Hydrodynamics
• Spin-thermal shear coupling in a relativistic fluid
• Boost-Invariant (2+1)-dimensional Anisotropic Hydrodynamics
• Thermal vorticity and spin polarization in heavy-ion collisions
• Global $\Lambda$ Polarization in high energy collisions
• Observation of charge-dependent azimuthal correlations in pPb collisions and its implication for the search for the chiral magnetic effect
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Phase transitions in the early and the present Universe
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Relativistic magnetohydrodynamics
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
• Thermodynamics of the PNJL model
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
• Hydrodynamics of spin currents
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Global polarization of $\Lambda$ and $\overline{\Lambda }$ hyperons in Pb-Pb collisions at the LHC
• 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
• Currents and the Energy-Momentum Tensor in Classical Field Theory: A fresh look at an Old Problem
• Constraints on the chiral magnetic effect using charge-dependent azimuthal correlations in pPb and PbPb collisions at the LHC
• Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
• The First fm/c of Heavy-Ion Collisions
• Quark Polarization in a Viscous Quark-Gluon Plasma
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Initial condition for hydrodynamics, partonic free streaming, and the uniform description of soft observables at RHIC
• Dissipative Spin Dynamics in Relativistic Matter
• Global polarization of $\Xi$ and $\Omega$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Relativistic Quantum Transport Theory for Electrodynamics
• Scalar quantum kinetic theory for spin-1/2 particles: mean field theory
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Large rotating AdS black holes from fluid mechanics
• Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
• Magnetic fields in heavy ion collisions: flow and charge transport
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Chiral kinetic theory in curved spacetime
• Spin polarization evolution in a boost invariant hydrodynamical background
• Physics and Signatures of the Quark - Gluon Plasma
• Vorticity in low-energy heavy-ion collisions
• Solutions of Conformal Israel-Stewart Relativistic Viscous Fluid Dynamics
• Off-center collisions in AdS_5 with applications to multiplicity estimates in heavy-ion collisions
• Linear response theory of relativistic hydrodynamics with spin
• Longitudinal spin polarization in a thermal model
• Causality and dissipation in relativistic polarizeable fluids
• The smallest fluid on earth
• Viscous Hydrodynamics and the Quark Gluon Plasma
• Theory of spin hydrodynamic generation
• Ideal spin hydrodynamics from Wigner function approach
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Global and local spin polarization in heavy ion collisions: a brief overview
• Estimates of hyperon polarization in heavy-ion collisions at collision energies $\sqrt{s_{NN}}=$ 4--40 GeV
• Spin polarization dynamics in the Gubser-expanding background
• Chiral symmetry restoration by parity doubling and the structure of neutron stars
• Sound waves and vortices in a polarized relativistic fluid
• Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions
• Anisotropic hydrodynamics for conformal Gubser flow
• Covariant chiral kinetic equation in Wigner function approach
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Quasiparticle equation of state for anisotropic hydrodynamics
• Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Rapid hydrodynamic expansion in relativistic heavy-ion collisions
• Local Equilibrium Spin Distribution From Detailed Balance
• Zilch Vortical Effect, Berry Phase, and Kinetic Theory
• Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
• Thermodynamics of polarized relativistic matter
• Hyperon Polarization from the Vortical Fluid in Low Energy Nuclear Collisions
• Projection method for boost-invariant and cylindrically symmetric dissipative hydrodynamics
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Spin polarization dynamics in the non-boost-invariant background
• The chiral vortical effect in Wigner function approach
• Exact solutions of relativistic perfect fluid hydrodynamics for a QCD equation of state
• Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions
• Hydrodynamic attractors for Gubser flow
• New Developments in Relativistic Fluid Dynamics with spin
• Wigner functions of massive fermions in strong magnetic fields
• Kubo formulae for first-order spin hydrodynamics
• Is Hyperon Polarization in Relativistic Heavy Ion Collisions Connected to Axial U(1) Symmetry Breaking at High Temperature?
• Convergence of hydrodynamic modes: insights from kinetic theory and holography
• Global polarization effect and spin-orbit coupling in strong interaction
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• CHIRALLY INVARIANT TRANSPORT EQUATIONS FOR QUARK MATTER
• Fully relativistic kinetic equation for spin-1/2 particles in the long scale-length approximation
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Fluid dynamic propagation of initial baryon number perturbations on a Bjorken flow background
• Anisotropic hydrodynamics for conformal Gubser flow
• Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
• Λ polarization from thermalized jet energy
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Dynamics of QCD Matter -- current status
• Pseudo-gauge dependence of quantum fluctuations of energy in a hot relativistic gas of fermions
• Vorticity and Particle Polarization in Relativistic Heavy-Ion Collisions
• Constituent quark masses obtained from hadron masses with contributions of Fermi-Breit and Glozman-Riska hyperfine interactions
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Evolution of magnetic fields from the 3+1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics
• Spin waves in spin hydrodynamics
• Novel self-similar rotating solutions of non-ideal transverse magnetohydrodynamics
• Influence of electromagnetic fields in proton-nucleus collisions at relativistic energy
• 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
• Study of transport coefficients in ultrarelativistic kinetic theory
• Basic phenomenology for relativistic heavy-ion collisions
• Strongly Interacting Matter Under Rotation: An Introduction
• Relativistic kinetic theory for spin-1/2 particles: Conservation laws, thermodynamics, and linear waves
• The linear mode analysis and spin relaxation
• Azimuthal angle dependence of the charge imbalance from charge conservation effects
• Relaxation time approximation with pair production and annihilation processes
• Quantum fluctuations of energy in subsystems of a hot relativistic gas
• Spin chemical potential for relativistic particles with spin 1/2
• Toward the Limits of Matter: Ultra-relativistic nuclear collisions at CERN
• Vortex-like solutions and internal structures of covariant ideal magnetohydrodynamics
• Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics
• Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence
• Complexified boost invariance and holographic heavy ion collisions
• Quantum fluctuations of baryon number density
• Relativistic hydrodynamics for spin-polarized media
• Conformal transformations of conservation equations in spin hydrodynamics
• Boost-invariant description of polarization within hydrodynamics with spin
• Hydrodynamics formalism with Spin dynamics

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