Exponentially generalized vortex

Abstract

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.

17 pages. 5 figures. To appear in Europhysics Letters

References in corpus (13)

• Cores in Dwarf Galaxies from Dark Matter with a Yukawa Potential
• Global topological k-defects
• An Analytic Holographic Superconductor
• Gauge k-vortices
• Cosmic Strings in Hidden Sectors: 1. Radiation of Standard Model Particles
• Cosmic Strings in Hidden Sectors: 2. Cosmological and Astrophysical Signatures
• Vortex solutions in nonpolynomial scalar QED
• Analytic vortex solutions in generalized models of the Maxwell-Higgs type
• Phase transitions in the logarithmic Maxwell O(3)-sigma model
• Stabilisation of semilocal strings by dark scalar condensates
• Topological structures in a non-canonical perturbative dynamics of a cuscuton-like model
• Nontopological self-dual Maxwell-Higgs vortices
• Compact-like vortices in isotropic curved spacetime

Cited by in corpus (1)

• On the asymmetric non-canonical braneworld in five dimensions