Low Energy Vortex Dynamics in Abelian Higgs Systems.

Abstract

The low energy dynamics of the vortices of the Abelian Chern-Simons-Higgs system is investigated from the adiabatic approach. The difficulties involved in treating the field evolution as motion on the moduli space in this system are shown. Another two generalized Abelian Higgs systems are discusssed with respect to their vortex dynamics at the adiabatic limit. The method works well and we find bound states in the first model and scattering at right angles in the second system. 1 Introduction. Since their discovery by Nielsen and Olesen [1], the vortex solutions present in the Abelian Higgs Model have been used, beyond their original purpose as vehicles of the strong forces, in a variety of contexts. They have been found useful, for example, to describe cosmic strings; also, because the energy of static configurations in the AHM can be interpreted as the Ginzburg-Landau theory for superconducting materials, these topological solutions correspond to the magnetic flux tubes appearing in ..