On Vortex Dynamics in the Self-Dual Chern-Simons-Higgs System

Abstract

The dynamics of n vortices in the self-dual Chern-Simons-Higgs system defined on the infinite plane is investigated. In adiabatic approximation, the vortex dynamics is determined by considering a rigid motion of a vortex configuration and a motion around a fixed center of mass. A motion of two vortices is studied in detail.