Vacuum material properties and Cherenkov radiation in Logarithmic Electrodynamics

TL;DR

This paper explores how nonlinear electromagnetic properties of the vacuum, modeled by logarithmic electrodynamics, can produce Cherenkov-like radiation when a charged particle moves through such a medium.

Contribution

It demonstrates the vacuum behaving as a ferrimagnetic material due to nonlinearities and analyzes Cherenkov radiation in this context for the first time.

Findings

Vacuum exhibits ferrimagnetic-like properties due to nonlinearities.

Cherenkov radiation can occur in nonlinear electromagnetic media.

Refractive index derived from nonlinear permittivity and susceptibility.

Abstract

We study some observational signatures of nonlinearities of the electromagnetic field. First to all we show the vital role played by nonlinearities in triggering a material behavior of the vacuum with $(\varepsilon > 0, \mu <0)$, which corresponds to a ferrimagnetic material. Secondly, the permittivity and susceptibility induced by nonlinearities are considered in order to obtain the refractive index via the dispersion relation for logarithmic electrodynamics. Finally, we consider the electromagnetic radiation produced by a moving charged particle interacting with a medium characterized by nonlinearities of the electromagnetic field. To this end we consider logarithmic electrodynamics. The result shows that the radiation is driven by the medium through which the particle travels like the one that happens in the Cherenkov effect.