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Nonlinear arcsin‐electrodynamics
Authors:Sergey I Kruglov
Affiliation:Department of Chemical and Physical Sciences, University of Toronto, Mississauga, Ontario, Canada
Abstract:A new model of nonlinear electrodynamics with three parameters is suggested and investigated. It is shown that if the external constant magnetic field is present the phenomenon of vacuum birefringence takes place. The indices of refraction for two polarizations of electromagnetic waves, parallel and perpendicular to the magnetic induction field are calculated. The electric field of a point‐like charge is not singular at the origin and the static electric energy is finite. We have calculated the static electric energy of point‐like particles for different parameters of the model. The canonical and symmetrical Belinfante energy‐momentum tensors and dilatation current are obtained. We demonstrate that the dilatation symmetry and dual symmetry are broken in the model suggested.
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Keywords:Nonlinear electrodynamics  Vacuum birefringence  Energy‐momentum tensor  Dilatation current  Dilatation symmetry
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