Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence

TL;DR

This paper investigates the existence and non-existence of cylindrically symmetric electro-magneto-static solitary waves in a coupled Klein-Gordon and Maxwell system with positive mass and nonlinear potential.

Contribution

It provides new existence and non-existence results for spinning Q-balls in Abelian gauge theories with positive potentials.

Findings

Existence of cylindrically symmetric solitary waves under certain conditions

Nonexistence results for specific parameter regimes

Characterization of conditions for wave solutions

Abstract

We study the existence of cylindrically symmetric electro-magneto-static solitary waves for a system of a nonlinear Klein-Gordon equation coupled with Maxwell's equations in presence of a positive mass and of a nonnegative nonlinear potential. Nonexistence results are provided as well.