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arXiv · 1702.02917

Topological first-order vortices in a gauged CP(2) model

R. Casana·M. L. Dias·E. da Hora
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Abstract

We study time-independent radially symmetric first-order solitons in a CP(2) model interacting with an Abelian gauge field whose dynamics is controlled by the usual Maxwell term. In this sense, we develop a consistent first-order framework verifying the existence of a well-defined lower bound for the corresponding energy. We saturate such a lower bound by focusing on those solutions satisfying a particular set of coupled first-order differential equations. We solve these equations numerically using appropriate boundary conditions giving rise to regular structures possessing finite-energy. We also comment the main features these configurations exhibit. Moreover, we highlight that, despite the different solutions we consider for an auxiliary function $β\left( r\right) $ labeling the model (therefore splitting our investigation in two a priori distinct branches), all resulting scenarios engender the very same phenomenology, being physically equivalent.

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R. Casana, M. L. Dias, E. da Hora. 2017-03-09. Topological first-order vortices in a gauged CP(2) model. https://doi.org/10.1016/j.physletb.2017.02.057

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