Heavy quark potential and effective actions on blocked configurations

Blocked SU(3) gauge configurations are analyzed to obtain a heavy quark potential and effective actions. Swendsen's optimized scale factor $b=2\mathrm{}$ blocking scheme is used to generate blocked configurations. The heavy quark potential calculated on twice blocked configurations produced from ${32}^3$×64 lattices at $\beta =6.30\mathrm{}$ shows good rotational invariance in contrast with the Wilson action. The determination of effective actions which are responsible for blocked configurations is carried out, in a space with up to nine coupling constants, by use of the canonical demon method. We find that the effective actions are not local. Apart from complicated actions, simple actions with two coupling constants are compared.