The virial relation for compact Q-balls in the complex signum-Gordon model

TL;DR

This paper derives a virial relation for Q-balls in the complex signum-Gordon model across multiple dimensions and analyzes their energy and size dependence on model parameters.

Contribution

It introduces a general virial relation for higher-dimensional Q-balls in the complex signum-Gordon model and computes their energy and radii based on dimensionality and potential parameters.

Findings

Derived a virial relation for higher-dimensional Q-balls.

Calculated energy and radii as functions of dimensionality.

Analyzed the impact of potential parameters on Q-ball properties.

Abstract

In this work the properties of Q-balls in the complex signum-Gordon model in $d$ spatial dimensions is studied. We obtain a general virial relation for this kind of Q-ball in the higher-dimensional spacetime. We compute the energy and radii of Q-ball with V-shaped field potential as a function of spatial dimensionality and a parameter defining the model potential energy density.