  Ratios of the true Yang-Mills vacuum wavefunctional, evaluated on any two
field configurations out of a finite set of configurations, can be obtained
from lattice Monte Carlo simulations. The method was applied some years ago to
test various proposals for the vacuum wavefunctional in 2+1 dimensions. In this
article we use the same method to test our own proposal for the Yang-Mills
ground state in 3+1 dimensions. This state has the property of "dimensional
reduction" at large scales, meaning that the (squared) vacuum state, evaluated
on long-wavelength, large scale fluctuations, has the form of the Boltzmann
weight for Yang-Mills theory in D=3 Euclidean dimensions. Our numerical results
support this conjectured behavior. We also investigate the form of the ground
state evaluated on shorter wavelength configurations.
