  Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential
and the abelian potential after the abelian projection are computed. Rotational
invariance is found restored at coarse lattices both in the nonabelian theory
and in the effective abelian theory resulting from maximal abelian projection.
Asymptotic scaling is tested for the SU(2) string tension. Deviation of the
order of $6%$ is found, for lattice spacings between 0.27 and 0.06 fm. Evidence
for asymptotic scaling and scaling of the monopole density in maximal abelian
projection is also seen, but not at coarse lattices. The scaling behavior is
compared with analyses of Wilson action results, using bare and renormalized
coupling schemes. Using extended monopoles, evidence is found that the gauge
dependence of the abelian projection reflects short distance fluctuations, and
may thus disappear at large scales.
