Remarks on nonlinear Electrodynamics

Abstract

We consider both generalized Born-Infeld and Exponential Electrodynamics. The field-energy of a point-like charge is finite only for Born-Infeld-like Electrodynamics. However, both Born-Infeld-type and Exponential Electrodynamics display the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of Electrodynamics, within the framework of the gauge-invariant path-dependent variables formalism. These are shown to result in long-range ($1/r^5$- type) corrections to the Coulomb potential. Once again, for their non-commutative versions, the interaction energy is ultraviolet finite.

10 pages. arXiv admin note: substantial text overlap with arXiv:1312.5157

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• Born-Infeld electrodynamics in very special relativity
• 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
• Bekenstein Inequalities and Nonlinear Electrodynamics
• $(1+3)$D topological superconductors: screening and confinement in presence of external fields