Power Maxwell nonlinear electrodynamics and the singularity of the electric field

Abstract

Power Maxwell nonlinear electrodynamics has become one of the well-known nonlinear models. Initially, it was proposed to make Maxwell's theory conformally invariant in higher dimensions. Therefore, it was not expected from the model to remove the electric field's singularity at the point charges' location. Such singularity removal was the core of the very early model known as the Born-Infeld model. In the literature, this point has been highlighted very recently in [B. E. Panah, EPL 134, 20005 (2021)] where a variable power Maxwell model has been introduced to remove the field's singularity. Here, in this short study, we shed more light on the issue by giving a physically acceptable mechanism for removing the singularity of the point charge at its location by applying the power Maxwell's nonlinear electrodynamics.