On axial current in rotating and accelerating medium

TL;DR

This paper derives a covariant formula for the axial current in rotating and accelerating media, revealing its dependence on chemical potential, angular velocity, and acceleration, with detailed analysis in zero-mass and zero-temperature limits.

Contribution

It introduces a covariant Wigner function approach to evaluate the axial current in rotating and accelerating systems, highlighting new dependencies and limiting behaviors.

Findings

Axial current depends on combined parameters μ ± (Ω ± ia)/2.

At zero mass, axial current is smooth only above the Unruh temperature.

At zero temperature, axial current vanishes in certain parameter regions.

Abstract

Statistical average of the axial current is evaluated on the basis of the covariant Wigner function. In the resulting formula, chemical potential $\mu$, angular velocity $\Omega$ and acceleration $a$ enter in combination $\mu \pm (\Omega \pm ia)/2$. The limiting cases of zero mass and zero temperature are investigated in detail. 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.