Topological Chern—Simons vortices in the O 3 σ

Authors: J Gladikowski

Publish Date: 2014/03/31

Volume: 73, Issue: 1, Pages: 181-187

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Abstract

We present a classical gauged O 3 σmodel with an Abelian ChernSimons term It shows topologically stable anyonic vortices as 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 twovortices as well as twovortices with masses above the stability threshold

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