Fixed Point Gauge Actions with Fat Links: Scaling and Glueballs

TL;DR

This paper introduces a new fixed point gauge action with fat links for SU(3) theory, demonstrating good scaling properties and providing measurements of scalar and tensor glueball masses.

Contribution

It presents a novel parametrization of the fixed point action with fat links and evaluates its scaling behavior and glueball spectrum in SU(3) gauge theory.

Findings

Quantities scale well even on coarse lattices (~0.3 fm)

Scalar glueball mass: 1627(83) MeV

Tensor glueball mass: 2354(95) MeV

Abstract

A new parametrization is introduced for the fixed point (FP) action in SU(3) gauge theory using fat links. We investigate its scaling properties by means of the static quark-antiquark potential and the dimensionless quantities $r_0 T_c, T_c/\sqrt{\sigma}$ and $r_0 \sqrt{\sigma}$, where $T_c$ is the critical temperature of the deconfining phase transition, $r_0$ is the hadronic scale and $\sigma$ is the effective string tension. These quantities scale even on lattices as coarse as $a \approx 0.3$ fm. We also measure the glueball spectrum and obtain $m_{0^{++}}=1627(83)$ MeV and $m_{2^{++}}=2354(95)$ MeV for the masses of the scalar and tensor glueballs, respectively.