Topological vortices in generalized Born-Infeld-Higgs electrodynamics

Abstract

A consistent BPS formalism to study the existence of topological axially symmetric vortices in generalized versions of the Born-Infeld-Higgs electrodynamics is implemented. Such a generalization modifies the field dynamics via introduction of three non-negative functions depending only in the Higgs field, namely, $G(|\varphi |)$, $w(|\varphi |)$ and $V(|\varphi |)$. A set of first-order differential equations is attained when these functions satisfy a constraint related to the Ampere law. Such a constraint allows to minimize the system energy in such way that it becomes proportional to the magnetic flux. Our results provides an enhancement of topological vortex solutions in Born-Infeld-Higgs electrodynamics. Finally, we analyze a set of models such that a generalized version of Maxwell-Higgs electrodynamics is recovered in a certain limit of the theory.

8 pages, 8 figures, to appear in EPJC

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• Topological first-order vortices in a gauged CP(2) model
• Self-dual configurations in Abelian Higgs models with $k$-generalized gauge field dynamics
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics
• Self-dual effective compact and true compacton configurations in generalized Abelian Higgs models
• First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function
• On the asymmetric non-canonical braneworld in five dimensions
• Vortices in vacuumless systems
• Nontopological first-order vortices in a gauged $CP(2)$ theory endowed with the Chern-Simons action
• Self-dual solitons in a Born-Infeld baby Skyrme model