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arXiv · 1311.3950

A non-Abelian Chern-Simons--Yang-Mills-Higgs system in 3+1 dimensions

Francisco Navarro-Lerida·Eugen Radu·D. H. Tchrakian
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Abstract

We study spherically symmetric solutions of an $SO(5)$ Chern-Simons--Yang-Mills-Higgs system in $3+1$ dimensions. The Chern-Simons densities are defined in terms of both Yang-Mills fields and a $5$-component isomultiplet Higgs. The $SO(3)\times{SO(2)}$ solutions are analysed in a systematic way, by employing numerical methods. These finite energy configurations possess both electric and magnetic global charges, differing radically, however, from Julia-Zee dyons. When two or more of these Chern-Simons densities are present in the Lagrangian, solutions with vanishing electric charge but nonvanishing electrostatic potential may exist.

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Francisco Navarro-Lerida, Eugen Radu, D. H. Tchrakian. 2013-11-15. A non-Abelian Chern-Simons--Yang-Mills-Higgs system in 3+1 dimensions. https://doi.org/10.1142/s0217751x14501498

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