Nonlinear Electrodynamics without Birefringence
High Energy Physics - Theory
2023-02-01 v3
Abstract
All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a ``reverse Born-Infeld'' case, which has a limit to Plebanski, and an ``extreme-Born-Infeld'' case, which arises as a Lagrangian constraint. Only Born-Infeld has a weak-field limit, and only Born-Infeld and extreme-Born Infeld avoid superluminal propagation in constant electromagnetic backgrounds, but all cases have a conformal strong-field limit that coincides with the strong-field limit of Born-Infeld found by Bialynicki-Birula.
Cite
@article{arxiv.2211.10689,
title = {Nonlinear Electrodynamics without Birefringence},
author = {Jorge G. Russo and Paul K. Townsend},
journal= {arXiv preprint arXiv:2211.10689},
year = {2023}
}
Comments
25 pages. Comments and references added