Effects of rotation and acceleration in the axial current: density operator vs Wigner function

Abstract

The hydrodynamic coefficients in the axial current are calculated on the basis of the equilibrium quantum statistical density operator in the third order of perturbation theory in thermal vorticity tensor both for the case of massive and massless fermions. The coefficients obtained describe third-order corrections to the Chiral Vortical Effect and include the contribution from local acceleration. We show that the methods of the Wigner function and the statistical density operator lead to the same result for an axial current in describing effects associated only with vorticity when the local acceleration is zero, but differ in describing mixed effects for which both acceleration and vorticity are significant simultaneously.

14 pages

References in corpus (14)

• The Chiral Magnetic Effect
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Thermal Hadronization and Hawking-Unruh Radiation in QCD
• Notes on chiral hydrodynamics within effective theory approach
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• The Thermal Production of Strange and Non-Strange Hadrons in e+e- Collisions
• Chiral vortaic effect and neutron asymmetries at NICA
• Mixed Anomalies: Chiral Vortical Effect and the Sommerfeld Expansion
• Perfect-fluid hydrodynamics with constant acceleration along the stream lines and spin polarization
• Thermodynamic equilibrium with acceleration and the Unruh effect
• On axial current in rotating and accelerating medium
• General thermodynamic equilibrium with axial chemical potential for the free Dirac field
• Notes on conservation laws in chiral hydrodynamics

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• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
• Pseudogauge dependence of the spin polarization and of the axial vortical effect
• Unruh effect for fermions from the Zubarev density operator
• General relativity effects in precision spin experimental tests of fundamental symmetries
• Unruh effect universality: emergent conical geometry from density operator
• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• Lattice study of the confinement/deconfinement transition in rotating gluodynamics
• Orientational order parameters for arbitrary quantum systems
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• Gravitational chiral anomaly and anomalous transport for fields with spin 3/2
• Chiral symmetry breaking in accelerating and rotating frames
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• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Fluid Acceleration in Heavy-Ion Collisions
• Vortical effects in chiral band structures
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Dynamics of classical and quantum spin in external fields: A general formalism