In the framework of three-dimensional Born-Infeld Electrodynamics, we pursue an investigation of the consequences of the space-time dimensionality on the existence of magnetostatic fields generated by electric charges at rest in an inertial frame, which are present in its four-dimensional version. Our analysis reveals interesting features of the model. In fact, a magnetostatic field associated with an electric charge at rest does not appear in this case. Interestingly, the addition of the topological term (Chern-Simons) to Born-Infeld Electrodynamics yields the appearance of the magnetostatic field. We also contemplate the fields associated to the would-be-magnetic monopole in three dimensions. © 2011 Springer Science+Business Media, LLC.
de Assis, L. P. G., Gaete, P., Helaÿel-Neto, J. A., & Vellozo, S. O. (2012). Aspects of Magnetic Field Configurations in Planar Nonlinear Electrodynamics. International Journal of Theoretical Physics, 477-486. https://doi.org/10.1007/s10773-011-0924-6