Hot dense magnetized ultrarelativistic spinor matter in a slab

TL;DR

This paper investigates how boundary conditions, temperature, and chemical potential influence the chiral separation effect in hot, dense, ultrarelativistic spinor matter confined within a finite slab under a magnetic field, revealing complex behaviors and potential control mechanisms.

Contribution

It introduces a detailed analysis of boundary condition effects on the chiral separation effect in finite slabs, highlighting new ways to manipulate the phenomenon.

Findings

Chiral separation effect depends on temperature and chemical potential in slabs.

Boundary conditions can enhance or suppress the chiral separation effect.

Temperature smooths out zero-temperature stepwise axial current behavior.

Abstract

Properties of hot dense ultrarelativistic spinor matter in a slab of finite width, placed in a transverse uniform magnetic field, are studied. The admissible set of boundary conditions is determined by the requirement that spinor matter be confined inside the slab. In thermal equilibrium, the chiral separation effect in the slab is shown to depend on both temperature and chemical potential; this is distinct from the unrealistic case of the magnetic field filling the unbounded (infinite) medium, when the effect is temperature independent. In the realistic case of the slab, a stepwise behaviour of the axial current density at zero temperature is smoothed out as temperature increases, turning into a linear behaviour at infinitely large temperature. A choice of boundary conditions can facilitate either augmentation or attenuation of the chiral separation effect; in particular, the effect can persist even at zero chemical potential, if temperature is finite. Thus the boundary condition can serve as a source that is additional to the spinor matter density.