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Nonlinear Electrodynamics and QED
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The limits of linear electrodynamics are reviewed, and possible directions of nonlinear extension are explored. The central theme is that the qualitative character of the empirical successes of quantum electrodynamics must be used as a guide for understanding the nature of the nonlinearity of electrodynamics at the subatomic level. Some established theories of nonlinear electrodynamics, namely, those of Mie, Born, and Infeld are presented in the language of the modern geometrical and topological methods of mathematical physics. The manner by which spacetime curvature and topology can affect electromagnetism is also reviewed. Finally, the phenomena of nonlinear optics are discussed as a possible guide to building one's intuition regarding the process of extending electrodynamics into nonlinearity in a manner that is consistent with the qualitative and empirical results of quantum electrodynamics.
Forward citations
Cited by 2 Pith papers
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Two shadows of a single black hole: Vacuum birefringence phenomena within Einstein-nonlinear-electrodynamics
Vacuum birefringence in nonlinear electrodynamics can make a single static black hole cast two slightly different shadows, one per photon polarization.
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Nonlinear Yang-Mills AdS black brane and DC conductivity
For a holographic model with fractional non-abelian gauge fields, the DC conductivity is σ = (1 - 4 q1 h'(rh)^2)/(1 + 4 q1 h'(rh)^2)^3, which is below the usual lower bound for nonzero coupling.
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