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Restoration of Angular Lie Algebra Symmetries from a Covariant Hamiltonian

A. Berard·J. Lages·H. Mohrbach
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Abstract

The sO(3) and the Lorentz algebra symmetries breaking with gauge curvatures are studied by means of a covariant Hamiltonian. The restoration of these algebra symmetries in flat and curved spaces is performed and led to the apparition of a monopole field. Then in the context of the Lorentz algebra we consider an application to the gravitoelectromagnetism theory. In this last case a qualitative relation giving a mass spectrum for dyons is established.

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A. Berard, J. Lages, H. Mohrbach. 2001-10-01. Restoration of Angular Lie Algebra Symmetries from a Covariant Hamiltonian. https://arxiv.org/abs/gr-qc/0110005

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