Hamiltonian Electric/Magnetic Duality and Lorentz Invariance

Details Hamiltonian Electric/Magnetic Duality and Lorentz Invariance Hamiltonian Electric/Magnetic Duality and Lorentz Invariance

1997-12-05

arxiv.org/abs/hep-th/9712067v1

Phys.Lett.B423:369-372,1998

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX, no figures

Scientific paper

10.1016/S0370-2693(98)00163-4

In (3+1) Hamiltonian form, the conditions for the electric/magnetic invariance of generic self-interacting gauge vector actions and the definition of the duality generator are obvious. Instead, (3+1) actions are not intrinsically Lorentz invariant. Imposing the Dirac-Schwinger stress tensor commutator requirement to enforce the latter yields a differential constraint on the Hamiltonian which translates into the usual Lagrangian form of the duality invariance condition obeyed by Maxwell and Born-Infeld theories. We also discuss covariance properties of some analogous scalar models.

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