Topological Chern-Simons vortices in the $O(3) σ$-model

Details Topological Chern-Simons vortices in the $O(3) σ$-model Topological Chern-Simons vortices in the $O(3) σ$-model

1996-03-09

arxiv.org/abs/hep-th/9603056v2

Z.Phys. C73 (1996) 181-188

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, 8ps-figures included, minor changes, references are added and updated

Scientific paper

We present a (2+1)-dimensional gauged $O(3) \sigma$-model with an Abelian Chern--Simons term. It shows topologically stable, anyonic vortices as classical solutions. The fields are studied in the case of rotational symmetry and analytic approximations are found for their asymptotic behaviour. The static Euler--Lagrange equations are solved numerically, where particular attention is paid to the dependence of the vortex' properties on the coupling to the gauge field. We compute the vortex mass and charge as a function of this coupling and obtain bound states for two--vortices as well as two--vortices with masses above the stability threshold.

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