Abstract
We investigate the presence of vortex configurations in generalized Maxwell-Chern-Simons models with nonminimal coupling, in which we introduce a function that modifies the dynamical term of the scalar field in the Lagrangian. We first follow a route already considered in previous works to develop the Bogomol'nyi procedure, and, in this context, we use the first order equations to obtain a vortex with a novel behavior at its core. We then go further and introduce a novel procedure to develop the Bogomol'nyi methodology. It supports distinct first order equations, and we then investigate another model, in which the vortex may engender inversion of the magnetic flux, an effect with no precedents in the study of vortices within the nonminimal context.
Highlights
Vortices are defect structures that appear in highenergy physics in (2,1) flat spacetime dimensions
We investigate the presence of vortex configurations in generalized Maxwell-Chern-Simons models with nonminimal coupling, in which we introduce a function that modifies the dynamical term of the scalar field in the Lagrangian
We have investigated vortex configurations in a class of generalized Maxwell-Chern-Simons models with a complex scalar field nonminimally coupled to the gauge field
Summary
Vortices are defect structures that appear in highenergy physics in (2,1) flat spacetime dimensions. [13,14], another line of investigation was considered, with the addition of a generalized magnetic permeability and a function to control the anomalous magnetic contribution, both depending only on the scalar field When these functions are constrained in a specific manner, it is possible to develop the Bogomol’nyi procedure and obtain first-order equations. We provide two examples that present novel physical features in the considered scenario, such as the absence of the monotonic behavior of the solutions and magnetic flux inversion, an effect that appeared before in other contexts, in particular, in the case of fractional vortices in two-component superconductors [30], and in models with breaking of the Lorentz invariance [31]. IV, where we comment on the main results obtained in the work and on several possibilities of investigations related to the presence of the generalized nonminimal coupling considered in the present study
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