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.

Highlights

  • The term Q-ball denotes finite energy, nonradiating solutions in theories containing scalar fields with timeperiodic phases and associated conserved charges

  • The present paper extends their investigations to the most general Uð1Þ × Uð1Þ symmetric quartic potential

  • We extend the results of Refs. [19,20] to the case of the most general Uð1Þ × Uð1Þ symmetric scalar sector with quartic self-interaction potentials

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Summary

INTRODUCTION

The term Q-ball denotes finite energy, nonradiating solutions in theories containing scalar fields with timeperiodic phases and associated conserved charges. Prototype Q-balls appear in pure scalar field theories containing a complex scalar with a quartic potential coupled to a real one [2] They have been shown to be stable, their stability being related to their conserved charge. In carrying out a detailed investigation of a larger phase space which appears to be a natural setting for the models considered, an interesting subfamily of charged Q-balls is found where the quartic selfinteraction terms are put to zero. This new family of charged Q-balls is a natural extension of previously considered ungauged Q-balls with vanishing potential in Ref. This new family of charged Q-balls is a natural extension of previously considered ungauged Q-balls with vanishing potential in Ref. [23] and investigated in more detail in Ref. [24]

THE MODEL CONSIDERED
SPHERICALLY SYMMETRIC Q-BALL SOLUTIONS
Numerical solutions
Stability of the solutions
The effect of varying the charges
The limit of vanishing quartic couplings
CONCLUSIONS
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