Causal fermion states in magnetic field in a relativistic rotating frame and electromagnetic radiation by a rapidly rotating charge

TL;DR

This paper investigates the spectrum and electromagnetic radiation of a Dirac fermion field rotating in a magnetic field, revealing significant effects of rotation on radiation in systems like quark-gluon plasma.

Contribution

It derives the fermion spectrum in a rotating magnetic field and analyzes how rotation influences electromagnetic radiation emission.

Findings

Rotation significantly affects electromagnetic radiation intensity.

Fermion spectrum depends on angular velocity and magnetic field.

Boundary effects are critical when the light cylinder is smaller than system size.

Abstract

We consider the Dirac field uniformly rotating with angular velocity $\Omega$ and also subject to the constant magnetic field $B$ directed along the rotation axis. The causal states are constrained to the interior of the light cylinder of radius $c/\Omega$. When this radius is smaller than the system size, as in the quark-gluon plasma, the effect of the boundary on the fermion spectrum is critical. We derive the fermion spectrum and study its properties. We compute the intensity of the electromagnetic radiation emitted due to transitions between the fermion states. We study its dependence on energy and angular momentum for different values of the angular velocity and the magnetic field. Rotation has enormous impact on the electromagnetic radiation by the quark-gluon plasma with or without the magnetic field.