  We pose two questions about the dynamical critical behavior of multigrid
Monte Carlo: Will a multigrid Monte Carlo simulation of the two dimensional
Sine Gordon model exhibit critical slowing down, as expected by a theoretical
analysis of Metropolis acceptance rates? Can we reduce critical slowing down
caused by decreasing acceptance rates on large blocks by performing more
updates on coarser lattices? To this end we simulate the model with a W-cycle
(gamma = 2) and a higher cycle with gamma = 4 using piecewise constant
interpolation. The answer to the first question is positive, the answer to the
second one is negative.
