Ringlike vortices in a logarithmic generalized Maxwell theory

TL;DR

This paper explores ringlike vortex structures in a generalized Maxwell theory with a logarithmic scalar field, revealing novel stationary solutions with internal structures through numerical analysis.

Contribution

It introduces a logarithmic generalization of the Maxwell model to find new vortex solutions with internal structures in scalar-gauge field dynamics.

Findings

Discovery of ringlike vortex solutions with internal structures

Numerical confirmation of minimum energy configurations

Identification of unique magnetic and energy density profiles

Abstract

We investigate the presence of vortex structures in a Maxwell model with a logarithmic generalization. This generalization becomes important because it generates stationary field solutions in models that describe the dynamics of a scalar field. In this work, we will choose to investigate the dynamics of the complex scalar field with the gauge field governed by Maxwell term. For this, we will investigate the Bogomol'nyi equations to describe the static field configurations. Then, we show numerically that the complex scalar field solutions that generate minimum energy configurations have internal structures. Finally, assuming a planar vision, the magnetic field and the density energy show the interesting feature of the ringlike vortex.