| Issue |
EPL
Volume 138, Number 4, May 2022
|
|
|---|---|---|
| Article Number | 44001 | |
| Number of page(s) | 7 | |
| Section | Nuclear and plasma physics, particles and fields | |
| DOI | https://doi.org/10.1209/0295-5075/ac535f | |
| Published online | 01 June 2022 | |
Exponentially generalized vortex
Universidade Federal do Ceará (UFC), Departamento de Física - Campus do Pici, Fortaleza, CE, C. P. 6030, 60455-760, Brazil
(a) cleiton.estevao@fisica.ufc.br
(b) carlos@fisica.ufc.br (corresponding author)
Received: 8 September 2021
Accepted: 9 February 2022
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 
in Maxwell's case. On the other hand, in the Chern-Simons case, the solutions in this sector are degenerate by a factor of 
. Finally, we solve the Bogomol'nyi equations numerically and discuss our results.
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