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, $G(|\phi|)$, $w(|\phi|) $ and $V(|\phi|)$. 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.
Highlights
The well-known Born–Infeld electrodynamics was originally introduced to remove the divergence of electron’s selfenergy in classical electrodynamics by introducing a squareroot form of the Lagrangian density replacing the standard Maxwell–Lagrangian [1,2]
The second numerical analysis was performed by fixing n = 1 and varying the values of β(= 1.05, 1.25, 2.00, ∞), with the resulting profiles depicted in Figs. 5, 6, 7, and 8 for the |φ|4-BIMH and |φ|6BIMH models studied in this work
In this work we have studied a family of generalized Born– Infeld theories with a free parameter, β, and three generalizing functions which are nonnegative. These generalizing functions are constrained by the condition (32), which is the Ampère law of the model
Summary
The well-known Born–Infeld electrodynamics was originally introduced to remove the divergence of electron’s selfenergy in classical electrodynamics by introducing a squareroot form of the Lagrangian density replacing the standard Maxwell–Lagrangian [1,2] In this way the field strength tensor remains bounded everywhere and the energy associated to a point-like charge becomes finite. In some cases these generalized models provide selfdual analytical solutions, which certainly enriches our understanding of the field [55,56] This procedure allows one to control properties of the topological defect, such as its width or energy density, providing valuable models for the analysis of several physical problems. The main aim of the present manuscript is to show the existence of self-dual topological BPS vortices in a generalized BIMH electrodynamics and study their properties
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