The β function, scaling, and improved action forSU(3) lattice gauge theory

Abstract

We present a detailed analysis of the nonperturbativeβ function along the Wilson axis for theSU(3) pure gauge theory using the Monte Carlo renormalization group method. The scaling behavior of the string tension, the deconfinement transition temperature, and the O++ glueball mass obtained from published data is compared. The results show that there is no asymptotic scaling forK F=(6/g 2)<6.1. We also estimate the renormalized action generated by the √3 block transformation for use in future calculations.