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arXiv · 1812.03147

Vortices of $SO(2)$ gauged Skyrmions in $2+1$ dimensions

Francisco Navarro-Lerida·D. H. Tchrakian
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Abstract

Vortices the $SO(2)$ gauged planar Skyrme model, with a) only Maxwell, b) only Chern-Simons, and c) both Maxwell and Chern-Simons dynamics are studied systematically. In cases a) and b), where both models feature a single parameter $\lambda$ (the coupling of the potential term), the dependence of the energy on $\lambda$ is analysed. It is shown that the plots of the energy $vs.$ $\lambda$ feature discontinuities and branches. In case c), the emphasis is on the evolution of the topological charge, taking non-integer values. Throughout, the properties studied are contrasted with those of the corresponding Abelian Higgs models.

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Francisco Navarro-Lerida, D. H. Tchrakian. 2018-12-07. Vortices of $SO(2)$ gauged Skyrmions in $2+1$ dimensions. https://doi.org/10.1103/physrevd.99.045007

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