Aspects of Magnetic Field Configurations in Planar Nonlinear Electrodynamics

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.

8 pages

References in corpus (3)

• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Standstill Electric Charge Generates Magnetostatic Field Under Born-Infeld Electrodynamics
• Self-Interacting Electromagnetic Fields and a Classical Discussion on the Stability of the Electric Charge

Cited by in corpus (2)

• Remarks on nonlinear Electrodynamics
• Analytical Calculation of Stored Electrostatic Energy per Unit Length for an Infinite Charged Line and an Infinitely Long Cylinder in the Framework of Born-Infeld Electrostatics