ar X iv : h ep - l at / 0 60 90 47 v 1 2 6 Se p 20 06 RG decimation study of SU ( 2 ) gauge theory

We report on numerical studies of RG decimations in SU(2) gauge theory. We study in particular a class of plaquette actions involving sums of group representations. We measure a number of observables representative of different length scales in order to investigate the transformation of the system under different choices of spin blocking, and examine the flow of the effective action couplings. A need for a projection to some class of effective actions on the configurations resulting from the adopted numerical decimation procedures is demonstrated. A numerical decimation procedure resulting in the effective single plaquette Lagrangian tailored to reproduce different medium/large scale physics is devised.