SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action: Lattice artefacts

TL;DR

This study explores how using a mixed fundamental and adjoint plaquette action in SU(3) lattice gauge theory can reduce lattice artefacts, with a focus on finite temperature phase transition, static potential, and glueball mass.

Contribution

It demonstrates that negative adjoint coupling in the action significantly reduces lattice artefacts compared to the pure Wilson gauge action.

Findings

Lattice artefacts in m_{0^{++}}/T_c are substantially reduced.

Variance reduced estimators improve measurement accuracy.

Corrections to scaling are minimized with negative adjoint coupling.

Abstract

We study the four-dimensional SU(3) gauge model with a fundamental and an adjoint plaquette term in the action. We investigate whether corrections to scaling can be reduced by using a negative value of the adjoint coupling. To this end, we have studied the finite temperature phase transition, the static potential and the mass of the 0^{++} glueball. In order to compute these quantities we have implemented variance reduced estimators that have been proposed recently. Corrections to scaling are analysed in dimensionless combinations such as T_c/\sqrt{\sigma} and m_{0^{++}}/T_c. We find that indeed the lattice artefacts in e.g. m_{0^{++}}/T_c can be reduced considerably compared with the pure Wilson (fundamental) gauge action at the same lattice spacing.