Electrically charged multi-field configurations

TL;DR

This paper explores electrically charged localized structures in two and three dimensions using Maxwell-scalar models, deriving first order equations to find stable solutions with internal structure.

Contribution

It introduces a method to find stable, electrically charged multi-field configurations in higher dimensions using first order differential equations.

Findings

Existence of stable, electrically charged solutions with internal structure

Derivation of first order equations for stability

Examples of multi-field configurations in 2D and 3D

Abstract

In this work we investigate the presence of electrically charged structures that are localized in two and three spatial dimensions. We use the Maxwell-scalar Lagrangian to describe several systems with distinct interactions for the scalar fields. The procedure relies on finding first order differential equations that solve the equations of motion and ensure stability of the corresponding minimum energy solutions. We illustrate the many possibilities in two and in three spatial dimensions, examining different examples of electrically charged solutions that engender internal structure