Hamiltonian birefringence and Born-Infeld limits

Abstract: Using Hamiltonian methods, we fnd six relativistic theories of nonlinear electrodynamics for which plane wave perturbations about a constant uniform background are not birefringent. All have the same conformal strong-feld limit to Bialynicki-Birula (BB) electrodynamics, but only four avoid...

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Bibliographic Details
Authors: Mezincescu, Luca, Russo, J. G. (Jorge Guillermo), Townsend, Paul K.
Format: article
Status:Published version
Publication Date:2024
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/220648
Online Access:https://hdl.handle.net/2445/220648
Access Level:Open access
Keyword:Sistemes hamiltonians
Teoria de camps (Física)
Electrodinàmica
Hamiltonian systems
Field theory (Physics)
Electrodynamics
Description
Summary:Abstract: Using Hamiltonian methods, we fnd six relativistic theories of nonlinear electrodynamics for which plane wave perturbations about a constant uniform background are not birefringent. All have the same conformal strong-feld limit to Bialynicki-Birula (BB) electrodynamics, but only four avoid superluminal propagation: Born-Infeld (BI), its non-conformal “extreme” limits (electric and magnetic) and the conformal BB limit. The quadratic dispersion relation of BI is shown to degenerate in the extreme limits to a pair of linear relations, which become identical in the BB limit.