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arXiv · hep-th/9605177

Interaction energy of Chern-Simons vortices in the gauged O(3) sigma model

K. Arthur
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Abstract

The purpose of this Letter is to present a computation of the interaction energy of gauged O(3) Chern-Simons vortices which are infinitely separated. The results will show the behaviour of the interaction energy as a function of the constant coupling the potential, which measures the relative strength of the matter self-coupling and the electromagnetic coupling. We find that vortices attract each other for $λ> 1 $ and repel when $λ< 1 $. When $λ=1 $ there is a topological lower bound on the energy. It is possible to saturate the bound if the fields satisfy a set of first order partial differential equations.

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K. Arthur. 1996-05-23. Interaction energy of Chern-Simons vortices in the gauged O(3) sigma model. https://doi.org/10.1016/0370-2693(96)00857-x

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