Abstract
Statistical average of the axial current is evaluated on the basis of the covariantWigner function. In the zero-mass limit, the axial current is described by a smooth function only at temperatures higher than the Unruh temperature. At zero temperature, the axial current, as a function of the angular velocity and chemical potential, vanishes in a two-dimensional plane region.
Highlights
Many remarkable effects related to the properties of relativistic fluids have been discovered at theoretical level
In [11, 15] the mean value of the axial current was calculated on the basis of the ansatz for the covariant Wigner function proposed in [16]
The resulting formula reduces to the standard formula for the Chiral Vortical Effect (CVE) in the approximation linear in vorticity
Summary
Many remarkable effects related to the properties of relativistic fluids have been discovered at theoretical level. The axial current acquires features inherent in theories with imaginary chemical potential, in particular, periodic discontinuities or cusps appear at a temperature below the Unruh temperature.
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