A vector Lagrangian for the electromagnetic field

Published under licence by IOP Publishing Ltd
, , Citation A Sudbery 1986 J. Phys. A: Math. Gen. 19 L33 DOI 10.1088/0305-4470/19/2/002

0305-4470/19/2/L33

Abstract

A variational principle for Maxwell's equations in which the variables are the electromagnetic field strengths is formulated covariantly; the Lagrangian density is a 4-vector. Conserved quantities associated with translations, Lorentz transformations and duality rotations are determined.

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10.1088/0305-4470/19/2/002