  The low lying excited states of the three-dimensional minimum matching
problem are studied numerically. The excitations' energies grow with their size
and confirm the droplet picture. However, some low energy, infinite size
excitations create multiple valleys in the energy landscape. These states
violate the droplet scaling ansatz, and are consistent with mean field
predictions. A similar picture may apply to spin glasses whereby the droplet
picture describes the physics at small length scales, while mean field
describes that at large length scales.
