On Generalized Logarithmic Electrodynamics

TL;DR

This paper explores a generalized form of logarithmic electrodynamics with two parameters, calculating light refraction in magnetic fields, deriving energy-momentum tensors, and establishing experimental bounds on the parameters.

Contribution

It introduces a two-parameter generalized logarithmic electrodynamics model and derives new theoretical results including refraction indices and energy-momentum tensors, with experimental bounds on parameters.

Findings

Refraction indices in magnetic fields calculated

Energy-momentum tensor and dilatation current derived

Parameter bounds established from BMV experiment

Abstract

The generalized logarithmic electrodynamics with two parameters $\beta$ and $\gamma$ is considered. The indexes of refraction of light in the external magnetic field are calculated. In the case $\beta=\gamma$ we come to results obtained by P. Gaete and J. Helay\"el-Neto [7] (Eur.Phys.J. C\textbf{74}, 2816 (2014)). The bound on the values of $\beta$, $\gamma$ was obtained from the Bir\'efringence Magn\'etique du Vide (BMV) experiment. The symmetrical Belinfante energy-momentum tensor and dilatation current are found.