Generalization of the Guendelman nonlinear electrodynamics model

Abstract

In this study, we present a generalized version of the specific nonlinear electrodynamic model introduced by Guendelman [PLB640(2006)201] as a result of spontaneously breaking the scale invariance of Maxwell's linear theory. The generalized model involves a new integer parameter $n$ so that $n=2$ reproduces Guendelman's model. Although with each $n$ in principle there exist a new model but technically only $n=2$ and $n=3$ yield a closed analytical expression.