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arXiv · 1008.0624

Aspects of Magnetic Field Configurations in Planar Nonlinear Electrodynamics

L. P. G. De Assis·Patricio Gaete·José A. Helaÿel-Neto·S. O. Vellozo
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Abstract

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.

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L. P. G. De Assis, Patricio Gaete, José A. Helaÿel-Neto, S. O. Vellozo. 2010-08-03. Aspects of Magnetic Field Configurations in Planar Nonlinear Electrodynamics. https://doi.org/10.1007/s10773-011-0924-6

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