The Massive Fermion Phase for the U(N) Chern-Simons Gauge Theory in D=3 at Large N

Understand

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.