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-Simons fields. We chose to investigate the dynamics of the complex scalar field in models coupled separately to the Maxwell term and the Chern...

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Bibliographic Details
Published in:arXiv.org 2022-02
Main Authors: Lima, F C E, Almeida, C A S
Format: Article
Language:English
Subjects:
Configurations
Mathematical models
Scalars
Online Access:Get full text
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Summary:In this work, we propose an exponentially generalized Abelian model. We investigated the presence of vortex structures in models coupled to Maxwell and Chern-Simons 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 case of Chern-Simons, 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.06173