SU(3) flux tube gluon condensate

TL;DR

This paper models the distribution of gluon condensates in an SU(3) flux tube, illustrating confinement of chromoelectric fields by a surrounding coset chromomagnetic field, aligning with dual QCD concepts.

Contribution

It presents a scalar model of the SU(3) flux tube with a nonperturbative quantization approach for coset degrees of freedom, providing a concrete realization of dual QCD.

Findings

Chromoelectric fields are confined within the flux tube.

The flux tube features a surrounding coset chromomagnetic field.

The model aligns with dual QCD principles.

Abstract

The distribution of a gluon condensate in a flux tube is calculated. The result is that the chromoelectric fields are confined with a surrounding coset chromomagnetic field. Such picture presents the concrete realization of dual QCD model in a scalar model of the flux tube. In the scalar model the SU(3) gauge fields are separated on two parts: (1) is the $SU(2) \subset SU(3)$ subgroup, (2) is the coset $SU(3) / SU(2)$. The SU(2) degrees of freedom are almost classical and the coset degrees of freedom are quantum ones. A nonperturbative approach for the quantization of the coset degrees of freedom is applied. In this approach 2-point Green's function is a bilinear combination of scalar fields and 4-point Green's function is the product of 2-points Green's functions. The gluon condensate is an effective Lagrangian describing the SU(2) gauge field with broken gauge symmetry and coupling with the scalar field. Corresponding field equations give us the flux tube.