Vortices solutions in Chern-Simons-Maxwell-Higgs system

Abstract

In this work we analyze some characteristics of Bogomol'nyi's equations for abelian gauge theories with Chern-Simons-Maxwell-Higgs terms. We don't obtain the complete solution for the model, but we analyze the equations in a kind of weak field approximation instead of using a computational analysis. Our main idea is to get some intuition on the subject. Working with the equations in such approach we reproduce the accurate behavior next to the origin.