Degenerate behavior in nonlinear vacuum electrodynamics
arXiv:2004.01852 · doi:10.1088/1402-4896/ab842d
Abstract
We study nonlinear vacuum electrodynamics in the first-order formulation proposed by Plebański. We analyze in detail the equations of motion, and identify conditions for which a singularity can occur for the time derivative of one of the field components. The resulting degenerate behavior can give rise to a shock wave with a reduction of the local number of degrees of freedom. We use an example model to illustrate the occurrence of superluminal propagation for field values approaching the singularity.
17 pages, 2 figures, Accepted for publication in Physica Scripta
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