Fixed Point SU(3) Gauge Actions: Scaling Properties and Glueballs

TL;DR

This paper introduces a new SU(3) fixed point gauge action parametrization with smeared links, demonstrating good scaling properties and consistent glueball mass measurements on coarse lattices.

Contribution

The paper presents a novel parametrization of the SU(3) fixed point gauge action using smeared links and analyzes its scaling behavior and glueball masses.

Findings

Good scaling behavior of the FP action on coarse lattices.

No scaling violations observed in low-lying glueball masses.

Consistent measurements of static potential, $r_0$, string tension, and $T_c$.

Abstract

We present a new parametrization of a SU(3) fixed point (FP) gauge action using smeared ("fat") gauge links. We report on the scaling behaviour of the FP action on coarse lattices by means of the static quark-antiquark potential, the hadronic scale $r_0$, the string tension $\sigma$ and the critical temperature $T_c$ of the deconfining phase transition. In addition, we investigate the low lying glueball masses where we observe no scaling violations within the statistical errors.