Zeitschrift für Physik C Particles and Fields

ISSN: 0170-9739 (printed version)
ISSN: 1431-5858 (electronic version)

Table of Contents

Abstract Volume 73 Issue 1 (1996) pp 181-187

Topological Chern-Simons vortices in the O(3) <sigma>-model

J. Gladikowski

Department of Mathematical Sciences, University of Durham, South Road, Durham DH1 3LE, UK; e-mail: dma3jg@gauss.dur.ac.uk

Received: 24 January 1996

Abstract. We present a classical, gauged O(3) <sigma>-model with an Abelian Chern-Simons 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 two-vortices as well as two-vortices with masses above the stability threshold.

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