Comment on scalar glueball mass

TL;DR

This paper derives an exact relationship for the pure scalar glueball mass within a generalized linear sigma model, linking it to the vacuum expectation value of the glueball field, under a decoupling limit.

Contribution

It provides a novel, exact formula for the scalar glueball mass in terms of its vacuum expectation value, within a model that respects QCD trace anomaly.

Findings

Exact relationship: m_h = 2 h_0

Decoupling limit analysis of scalar glueball

Model respects QCD trace anomaly

Abstract

We study the interaction of scalar glueball with quark-antiquark and four-quark spinless meson fields within the framework of a generalized linear sigma model in which the trace anomaly of QCD is exactly realized. To determine the pure scalar glueball mass ($m_h$), we consider the decoupling limit in which the scalar glueball decouples from the meson fields. We find the exact relationship $m_h = 2\, h_0$ where $h_0$ is the vacuum expectation value of the scalar glueball field independent of the properties of the framework used.