Colour fields in gauge invariant quenched SU(3) Lattice QCD

TL;DR

This study computes colour fields in quenched SU(3) lattice QCD for various representations, analyzing their properties and comparing with dual superconductor models to understand confinement mechanisms.

Contribution

It introduces a method to measure colour fields for different SU(3) representations using generalized Wilson Loops in lattice QCD, and explores their scaling and superconductor analogy.

Findings

Colour fields exhibit Casimir scaling consistent with static potentials.

The coherence length aligns with the dual Ginzburg-Landau model.

Effective dual gluon mass estimated at approximately 0.905 GeV.

Abstract

he colour fields, created by static sources belonging to different SU(3) representations, from the 3 to the 27, are computed in quenched SU(3) lattice QCD, in a 24^3 x 48 lattice at beta=6.2 and a=0.07261(85) fm. We utilize the technique of generalized Wilson Loops to localize the sources, correlated with plaquettes to measure the respective colour fields. We investigate the Casimir scaling of the fields, measured in the static potentials by Bali. We also study the coherence length, comparing with the dual Ginzburg-Landau approach. With the penetration and coherence lengths we determined the Ginzburg-Landau dimensionless parameter, this result is consistent with a type II superconductor picture, and with an effective dual gluon mass of 0.905 +- 0.163 GeV.