Exponentially generalized vortex

In this work, we propose an exponentially generalized Abelian model. We investigated the presence of vortex structures in models coupled to Maxwell and Chern-Si mons fields. We chose to investigate the dynamics of the complex scalar field in models coupled separately to the Maxwell term and the Chern-Simons term. For this, we analyze the Bogomol'nyi equations in both cases to describe the static field configurations. An interesting result appears when we note that scalar field solutions generate degenerate minimum energy configurations by a factor of nu(2) in Maxwell's case. On the other hand, in the Chern-Simons case, the solutions in this sector are degenerate by a factor of kappa nu(2)/a(s). Finally, we solve the Bogomol'nyi equations numerically and discuss our results. Copyright (C) 2022 EPLA

Automated summary

In this work, an exponentially generalized Abelian model is proposed to investigate vortex structures in models coupled to Maxwell and Chern-Simons fields. The dynamics of the complex scalar field in models coupled separately to the Maxwell term and the Chern-Simons term are analyzed using Bogomol'nyi equations. It is found that scalar field solutions generate degenerate minimum energy configurations in Maxwell's case and degenerate solutions in the Chern-Simons case.