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 / √ σ and r 0 √ σ, 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 ≈ 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.

No 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 r0, the string tension σ and the critical temperature Tc of the deconfining phase transition. In addition, we investigate the low lying glueball masses where we observe no scaling violations within the statistical errors.

We present a method for constructing classically perfect anisotropic actions for SU(3) gauge theory based on an isotropic Fixed Point Action. The action is parametrised using smeared ("fat") links. The construction is done explicitly for anisotropy ξ = a s /a t = 2 and 4. The corresponding renormalised anisotropies are determined using the torelon dispersion relation. The renormalisation of the anisotropy is small and the parametrisation describes the true action well. Quantities such as the static quark-antiquark potential, the critical temperature of the deconfining phase transition and the lowlying glueball spectrum are measured on lattices with anisotropy ξ = 2. The mass of the scalar 0 ++ glueball is determined to be 1580(60) MeV, while the tensor 2 ++ glueball is at 2430(60) MeV.