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arXiv · 1612.05835

The effect of Chern-Simons dynamics on the energy of electrically charged and spinning vortices

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

We study the effect of a Chern-Simons term on the electrically charged and spinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. These are vortices of complex scalar field theories, both with and without symmetry breaking dynamics, and the $O(3)$ Skyrme model. In all cases the gauge decoupling limits are also considered. It is well known that the effect of the Chern-Simons dynamics is to endow vortices with electric charge $Q_e$ and spin $J$, but our main aim here is to reveal a new feature: that the mass-energy $E$ of the electrically charged vortex can be lower than that of the electrically neutral one, in contrast to the usual monotonic increase of $E$ with $Q_e$. These effects of Chern-Simons dynamics were observed previously in $3+1$ dimensional systems, and the present results can be viewed as corroborating the latter. Moreover, the usual energy-spin relationship is likewise altered. We carry out a detailed quantitative analysis of azimuthally symmetric vortices and describe their qualitative features by constructing the solutions numerically.

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Francisco Navarro-Lerida, Eugen Radu, D. H. Tchrakian. 2016-12-17. The effect of Chern-Simons dynamics on the energy of electrically charged and spinning vortices. https://doi.org/10.1103/physrevd.95.085016

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