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How is conservation of charge expressed in Born-Infeld nonlinear electrodynamics?

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Is there an electric current in Born-Infeld theory analogous to the Maxwell current that satisfies a continuity equation?

asked Dec 21, 2016 in Theoretical Physics by lukeburns (10 points) [ no revision ]
recategorized Dec 21, 2016 by Dilaton

The treatment of currents and U(1) local gauge in Born-Infeld is identical to Maxwell theory, it is just that the "free" electromagnetic Lagrangian is different. I.e. the current is the Euler-Lagrange equation and it identically vanishes. (more e.g. here)

commented Dec 22, 2016 by Void (1,645 points) [ no revision ]

Electrodynamics of Maxwell-Lorentz is generally non-linear too, but the charge conservation holds anyway. Any theory (construction) without conservation of charge is in contradiction with experiment and cannot be considered seriously.

commented Dec 22, 2016 by Vladimir Kalitvianski (102 points) [ no revision ]

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