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

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

1996-05-23

arxiv.org/abs/hep-th/9605177v1

Phys.Lett. B385 (1996) 181-186

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LateX, 7 figures available on request from author. 93701063@tolka.dcu.ie

Scientific paper

10.1016/0370-2693(96)00857-X

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 $\lambda > 1 $ and repel when $\lambda < 1 $. When $\lambda =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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