Remarks on inverse electrodynamics
Patricio Gaete, Jos\'e A. Helay\"el-Neto

TL;DR
This paper explores a new nonlinear electrodynamics model, revealing vacuum birefringence, light bending, and a long-range correction to Coulomb's law, expanding understanding of electromagnetic interactions under extreme conditions.
Contribution
It introduces a novel inverse electrodynamics model and analyzes its physical effects, including birefringence, light bending, and modifications to Coulomb potential.
Findings
Demonstrates vacuum birefringence in the new model
Calculates light bending due to external magnetic fields
Finds a long-range ${1/r^5}$ correction to Coulomb potential
Abstract
We study physical aspects for a new nonlinear electrodynamics (inverse electrodynamics). It is shown that this new electrodynamics displays the vacuum birefringence phenomenon in the presence of external magnetic field, hence we compute the bending of light. Afterwards we compute the lowest-order modification to the interaction energy within the framework of the gauge-invariant but path-dependent variables formalism. Our calculations show that the interaction energy contains a long-range ({1 \mathord{\left/ {\vphantom {1 {{r^5}}}} \right.\kern-\nulldelimiterspace} {{r^5}}}-type) correction to the Coulomb potential.
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