  The effect of cooling on a number of observables is calculated in SU(2)
lattice gauge theory. The static quark-antiquark potential and spin-dependent
interactions are studied, and the topological charge is monitored. The chiral
symmetry breaking order parameter $\langle \overline{\chi}\chi \rangle$ and
meson correlators are calculated using staggered fermions. Interactions on the
distance scale of a few lattice spacings are found to be essentially eliminated
by cooling, including the spin-dependent potentials. $\langle
\overline{\chi}\chi \rangle$ and meson correlators up to time separations of
several lattice spacings relax very quickly to their free-field values. At
larger times, there is evidence of a difference between the pseudoscalar and
vector channels. A fit to the pseudoscalar correlation function yields ``mass''
values about $2/3$ (in lattice units) of the uncooled masses. These results
raise the question of how to reconcile the large-time behavior of the hadron
correlators with the fact that the spin-dependent potentials and $\langle
\overline{\chi}\chi \rangle$ essentially disappear (in lattice units) after
only a small amount of cooling.
