Pseudogauge dependence of the spin polarization and of the axial vortical effect

Abstract

The mean spin polarization vector of spin 1/2 particles in a relativistic fluid at local thermal equilibrium (LTE) in different pseudogauges (PGs), i.e., with different choices for the decomposition of orbital and spin angular momentum, is obtained. The spin polarization obtained in the canonical PG differs from the one obtained in the Belinfante PG. It is found that this difference can not be written by replacing the thermal vorticity with the spin potential in the usual polarization formula. Other PG choices affect the contribution of thermal shear to the spin polarization. Therefore, the choice of a PG affects the predictions for the polarization measured in heavy-ion collisions. In general, it is shown that the Wigner function of a noninteracting Dirac field at LTE is affected by the PG transformations. Explicit expressions of the mean axial current are also calculated and it is found that even the axial vortical effect conductivity depends on the PG.

arXiv comment14 pages, Final proofread version published in PRC

References in corpus (41)

• 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
• Gravitational Anomaly and Transport
• 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
• 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
• Polarization and Vorticity in the Quark Gluon Plasma
• Relativistic hydrodynamics for spin-polarized fluids
• Holographic Gravitational Anomaly and Chiral Vortical Effect
• Shear-induced spin polarization in heavy-ion collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Generating spin polarization from vorticity through nonlocal collisions
• Spin-thermal shear coupling in a relativistic fluid
• Relativistic dissipative spin dynamics in the relaxation time approximation
• 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
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Spin polarization induced by the hydrodynamic gradients
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Covariant statistical mechanics and the stress-energy tensor
• Local spin polarization in high energy heavy ion collisions
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• General equilibrium second-order hydrodynamic coefficients for free quantum fields
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Thermodynamical inequivalence of quantum stress-energy and spin tensors
• Holographic spin liquids and Lovelock Chern-Simons gravity
• Nonequilibrium Thermodynamical Inequivalence of Quantum Stress-energy and Spin Tensors
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
• Chiral vortical effect with finite rotation, temperature, and curvature
• Effects of rotation and acceleration in the axial current: density operator vs Wigner function
• General thermodynamic equilibrium with axial chemical potential for the free Dirac field
• New Developments in Relativistic Fluid Dynamics with spin
• Anomalous gravitomagnetic moment and non-universality of the axial vortical effect at finite temperature
• Spin chemical potential for relativistic particles with spin 1/2

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• Spin alignment of vector mesons by glasma fields
• Hydrodynamics, spin currents and torsion
• Canonical and phenomenological formulations of spin hydrodynamics
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Pseudogauge freedom and the SO(3) algebra of spin operators
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• An introduction to relativistic spin hydrodynamics
• Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
• Dynamical constraints on pseudo-gauge transformations
• Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Kubo formulas for spin polarization in dissipative relativistic spin hydrodynamics: a first-order gradient expansion approach
• Polarization in heavy ion collisions: a theoretical review
• Minimal-Length Corrections to Hyperon Polarization in Rotating Quark Gluon Plasma
• Quantum statistical fluctuation of energy and its novel pseudo-gauge dependence
• Tensor spin polarization induced by curved freeze-out hypersurface