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arXiv · 1509.04056

Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model

R. Casana·C. F. Farias·M. M. Ferreira Jr
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Abstract

We have studied the existence of topological Bogomol'nyi-Prasad-Sommerfield or self-dual configurations in a Lorentz-violating gauged $O(3)$ nonlinear sigma model, where $CPT$-even Lorentz-violating (LV) terms were introduced in both the gauge and $σ$% -field sectors. As happens in the usual gauged $σ$ model, purely magnetic self-dual configurations are allowed, maintaining some qualitative features of the standard ones. In a more involved configuration, Lorentz violation provides new self-dual magnetic solutions carrying an electric field but a null total electric charge. In both cases, the total energy of the self-dual configurations turns out to be proportional to the topological charge of the model and to the LV parameters introduced in the $% σ$ sector. It is shown that the LV terms yield magnetic flux reversion as well.

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R. Casana, C. F. Farias, M. M. Ferreira Jr. 2016-01-11. Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model. https://doi.org/10.1103/physrevd.92.125024

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