SU(3) glueball gluon condensate

TL;DR

This paper models the distribution of gluon condensates within a glueball using a scalar approximation that separates SU(3) gauge fields into SU(2) and coset parts, employing a nonperturbative quantization approach.

Contribution

It introduces a novel scalar field approximation to describe SU(3) gauge fields in glueballs, focusing on nonperturbative effects and field separation.

Findings

Calculated gluon condensate distribution in a glueball.

Applied scalar fields to model SU(2) and coset degrees of freedom.

Used approximate nonperturbative quantization technique.

Abstract

In a scalar approximation the distribution of a gluon condensate in a glueball is calculated. In this approximation the SU(3) gauge fields are separated on two parts: (1) is the $SU(2) \subset SU(3)$ subgroup, (2) is the coset $SU(3) / SU(2)$. Using an approximate nonperturbative quantization technique two scalar fields are applied for the description of the SU(2) and coset degrees of freedom. In this approach 2-point Green's functions are a bilinear combination of scalar fields and 4-point Green's functions are the product of 2-points Green's functions.