  We explore the phase structure of fermions in the U(N) Chern-Simons gauge
theory in three dimensions using the large N limit where N is the number of
colors and the fermions are taken to be in the fundamental representation of
the U(N) gauge group. In the large N limit, the theory retains its classical
conformal behavior and considerable attention has been paid to a possible
AdS/CFT duality of the theory in the conformal phase. In this paper we present
a solution for the massive phase of the fermion theory that is exact to the
leading order of 't Hooft's large N expansion. We present evidence for the
spontaneous breaking of the exact scale symmetry and analyze the properties of
the dilation that appears as the Goldstone boson of scale symmetry breaking.
