Spin polarization dynamics in the Gubser-expanding background

Abstract

Evolution of spin polarization in the Gubser-expanding conformal perfect-fluid hydrodynamic background is studied. The analysis of the conformal transformation properties of the conservation laws is extended to the case of the angular momentum conservation. The explicit forms of equations of motion for spin components are derived and analysed, and some special solutions are found.

arXiv comment14 pages; Accepted version; Thanks to referees for nice comments; Additional comments are very much welcome

References in corpus (108)

• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Hydrodynamic Modeling of Heavy-Ion Collisions
• 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
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• 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
• Polarization probes of 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
• Relativistic hydrodynamics for spin-polarized fluids
• Lambda Polarization in Peripheral Heavy Ion Collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Evidence of spin-orbital angular momentum interactions in relativistic heavy-ion collisions
• Conformal hydrodynamics in Minkowski and de Sitter spacetimes
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Generating spin polarization from vorticity through nonlocal collisions
• Entropy Current in Conformal Hydrodynamics
• Thermal vorticity and spin polarization in heavy-ion collisions
• Global $\Lambda$ Polarization in high energy collisions
• Global polarization measurement in Au+Au collisions
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Relativistic dissipative spin dynamics in the relaxation time approximation
• A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Spin tensor and its role in non-equilibrium thermodynamics
• Hydrodynamics of spin currents
• Global polarization of $\Lambda$ and $\overline{\Lambda }$ hyperons in Pb-Pb collisions at the LHC
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• The ideal relativistic fluid limit for a medium with polarization
• What can we learn from global spin alignment of $\varphi$ meson in heavy-ion collisions?
• Currents and the Energy-Momentum Tensor in Classical Field Theory: A fresh look at an Old Problem
• Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
• Dissipative Spin Dynamics in Relativistic Matter
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Conformal transformations in classical gravitational theories and in cosmology
• The ideal relativistic spinning gas: polarization and spectra
• The ideal relativistic rotating gas as a perfect fluid with spin
• Relativistic anisotropic hydrodynamics
• On the Advancements of Conformal Transformations and their Associated Symmetries in Geometry and Theoretical Physics
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Large rotating AdS black holes from fluid mechanics
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
• Spin polarization evolution in a boost invariant hydrodynamical background
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• Vorticity in low-energy heavy-ion collisions
• Solutions of Conformal Israel-Stewart Relativistic Viscous Fluid Dynamics
• Longitudinal spin polarization in a thermal model
• Feed-down effect on $\Lambda$ spin polarization
• Causality and dissipation in relativistic polarizeable fluids
• Extreme matter in electromagnetic fields and rotation
• 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
• Gravitational form factors of light mesons
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Chiral Magnetic Effects in Nuclear Collisions
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Estimates of hyperon polarization in heavy-ion collisions at collision energies $\sqrt{s_{NN}}=$ 4--40 GeV
• Hyperon polarization in Heavy-Ion Collisions and gravity-related anomaly
• A microscopic description for polarization in particle scatterings
• Anisotropic hydrodynamics for conformal Gubser flow
• Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions
• Perfect-fluid hydrodynamics with constant acceleration along the stream lines and spin polarization
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Relaxation Time for Strange Quark Spin in Rotating Quark-Gluon Plasma
• Fluctuation dynamics near the QCD critical point
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Leading-order anisotropic hydrodynamics for central collisions
• Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models
• Chiral Vortical Effect for Bosons
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field
• Local Equilibrium Spin Distribution From Detailed Balance
• Zilch Vortical Effect, Berry Phase, and Kinetic Theory
• Polarized secondary particles in unpolarized high energy hadron-hadron collisions?
• Effects of rotation and acceleration in the axial current: density operator vs Wigner function
• Anisotropic fluid dynamics for Gubser flow
• Chiral Vortical Effect For An Arbitrary Spin
• Wigner functions and quantum kinetic theory of polarized photons
• Correlation between global polarization, angular momentum and flow in heavy-ion collisions
• On higher order and anisotropic hydrodynamics for Bjorken and Gubser flows
• Hydrodynamic attractors for Gubser flow
• Is Hyperon Polarization in Relativistic Heavy Ion Collisions Connected to Axial U(1) Symmetry Breaking at High Temperature?
• Global polarization effect and spin-orbit coupling in strong interaction
• Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Anisotropic hydrodynamics for conformal Gubser flow
• Helical massive fermions under rotation
• Unruh effect universality: emergent conical geometry from density operator
• Vorticity and Particle Polarization in Relativistic Heavy-Ion Collisions
• Thermodynamics of accelerated fermion gas and instability at Unruh temperature
• CVE for photons: black-hole vs. flat-space derivation
• Massless Limit of Transport Theory for Massive Fermions
• Polarization Rotation of Chiral Fermions in Vortical Fluid
• Holography of Low-Centrality Heavy Ion Collisions
• The quantum kinetic equation and dynamical mass generation in 2+1 Dimensions
• Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs
• Particle polarization, spin tensor and the Wigner distribution in relativistic systems
• Dynamic scale anomalous transport in QCD with electromagnetic background
• Conformal Gravity with Dirac Matter
• Polarization as a signature of local parity violation in hot QCD matter

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• Foundations and Applications of Quantum Kinetic Theory
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• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
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• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
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• Resummed spin hydrodynamics from quantum kinetic theory
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• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
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• Guiding center hydrodynamics with spin
• Perfect spinfluid: A divergence-type approach
• Study of spin polarization dependence on rapidity, transverse momentum, and azimuthal angle
• On the local thermodynamic relations in relativistic spin hydrodynamics
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• Dissipative effects on the propagation of spin modes