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Nonlinear Electrodynamics without Birefringence

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arxiv 2211.10689 v3 pith:DFN5YP47 submitted 2022-11-19 hep-th

classification hep-th
keywords born-infeldlimitcasecaseselectrodynamicsfoundnonlinearonly
verification ladder T0 review T1 audit T2 compute T3 formal
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All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a ``reverse Born-Infeld'' case, which has a limit to Plebanski, and an ``extreme-Born-Infeld'' case, which arises as a Lagrangian constraint. Only Born-Infeld has a weak-field limit, and only Born-Infeld and extreme-Born Infeld avoid superluminal propagation in constant electromagnetic backgrounds, but all cases have a conformal strong-field limit that coincides with the strong-field limit of Born-Infeld found by Bialynicki-Birula.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Casimir effect in Pleba\'nski nonlinear electrodynamics with spontaneously Lorentz-breaking magnetic vacua

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    The regular-sector Casimir energy diverges as a magnetic background approaches a degenerate Lorentz-breaking vacuum, but the divergence is an artifact: the extraordinary mode vanishes when the degenerate condition is ...

  2. On regular black string spacetimes in nonlinear electrodynamics

    gr-qc 2026-03 unverdicted novelty 6.0 of 10

    No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.

  3. Aspects of the quantization of non-linear electrodynamics in an uniform magnetic background

    hep-th 2026-08 reject novelty 4.0 of 10

    The paper proposes canonical and path-integral quantizations of non-linear electrodynamics in a magnetic background and derives a one-loop effective potential, applied to ModMax electrodynamics.

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