On non-topological solitons in Abelian gauge theories coupled to U(1)$\times$U(1) symmetric scalar fields

TL;DR

This paper explores non-topological solitons, specifically Q-balls, in a U(1)$\times$U(1) symmetric gauge theory with scalar fields, extending previous work to more general potentials and discovering new solution classes.

Contribution

It introduces the most general U(1)$\times$U(1) symmetric quartic potential and investigates a novel class of charged Q-balls with no self-interactions.

Findings

Extended the analysis to general U(1)$\times$U(1) potentials.

Discovered new charged Q-ball solutions with vanishing self-interactions.

Identified properties of these novel Q-balls.

Abstract

In a series of recent works Ishihara and Ogawa have investigated non-topological solitons (Q-balls) in a spontaneously broken Abelian gauge theory coupled to two complex scalar fields. The present paper extends their investigations to the most general U(1)$\times$U(1) symmetric quartic potential. Also a new class of charged Q-ball solutions with vanishing self-interaction terms is investigated and some of their remarkable properties is exhibited.