Mass gap in scalar glueball model

TL;DR

This paper models glueballs using a nonperturbative scalar approach to gluon condensates, revealing a regular solution representing a quantum fluctuation-filled ball with a mass gap.

Contribution

It introduces a novel scalar field model for glueballs incorporating nonperturbative quantum corrections from gauge field operators.

Findings

A regular, finite-energy solution for the scalar fields was obtained.

The model describes a ball filled with quantum fluctuations of the SU(3) gauge field.

The approach demonstrates a mass gap in the scalar glueball model.

Abstract

On the basis of a nonperturbative scalar model of gluon condensate the model of glueball is considered. Two scalar fields describe quantum fluctuations of gauge potential components belonging to a small subgroup $SU(2) \subset SU(3)$ and a coset $SU(3) / SU(2)$ correspondingly. In this consideration nonperturbative quantum corrections appear. The corrections are connected with a hidden structure of operators of strongly interacting gauge field. A regular solution for two scalar fields is obtained. The solution is a ball filled with quantum fluctuations of SU(3) gauge field. The space distribution of the dispersion of quantum fluctuations of gauge potential is presented.