OPTIMIZED MONTE-CARLO RENORMALIZATION-GROUP TRANSFORMATIONS FOR SU(3) LATTICE GAUGE-THEORY

We investigate a 6-parameter class of block transformations in order to find ones for which approach to the renormalized trajectory is fastest. There turns out to be a class of preferred transformations, with parameters depending on the coupling. These parameters seem to converge for small coupling g to a combination that is rather independent of the criterion used for the optimum. This may be a good candidate to determine the β-function in the range from where it has become universal to the point where it is indistinguishable from the 2-loop perturbative result. © 1980.