Fixed Point Gauge Actions with Fat Links: Scaling and Glueballs

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 $r_0 T_c, T_c/\sqrtσ$ and $r_0 \sqrtσ$, where $T_c$ is the critical temperature of the deconfining phase transition, $r_0$ is the hadronic scale and $σ$ 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.