Low Energy Vortex Dynamics in Abelian Higgs Systems

TL;DR

This paper investigates the low energy vortex dynamics in Abelian Higgs systems, highlighting challenges in moduli space approaches and revealing bound states and right-angle scattering in generalized models.

Contribution

It introduces an adiabatic method for vortex dynamics in Abelian Higgs systems and extends it to generalized models, uncovering new bound states and scattering behaviors.

Findings

Bound states found in the first generalized model.

Right-angle scattering observed in the second model.

Method demonstrates effectiveness despite initial difficulties.

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.