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

TL;DR

This study explores how adding an adjoint term to the SU(3) lattice gauge theory action can reduce lattice artefacts and enhance scaling, demonstrated through phase transition, static potential, and glueball mass analyses.

Contribution

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

Findings

Lattice artefacts in glueball mass over critical temperature are reduced

Finite temperature phase transition behavior is improved

Scaling behavior is enhanced with the mixed action

Abstract

We investigated SU(3) lattice gauge theory with a fundamental and adjoint plaquette term in the action. The purpose is to test whether the choice of a negative adjoint coupling can reduce lattice artefacts and improve the scaling b ehaviour. To this end, we have studied the finite temperature phase transition, the static potential and the mass of the 0^{++} glueball. We found 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.