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 r0Tc, Tc/σ and r0σ, where Tc is the critical temperature of the deconfining phase transition, r0 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 m0++=1627(83) MeV and m2++=2354(95) MeV for the masses of the scalar and tensor glueballs, respectively.