Monte Carlo Renormalization Group for SU(3) Lattice Gauge Theory

Abstract

We present the first results for the nonperturbative $\ensuremath{\beta}$ function along the Wilson axis for the SU(3) pure gauge theory using the Monte Carlo renormalization-group method. The results show that there is no asymptotic scaling for the coupling in the fundamental representation ${K}_{F}<6.1$. The renormalized action generated by the $\sqrt{3}$ block transformation is also estimated for use in future calculations.