3D Field Theories with Chern--Simons Term for Large $N$ in the Weyl Gauge

Understand

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details.

• We determine the conditions for the existence of a massless conformal invariant ground state as well as the conditions for a massive phase.
• We analyze the phase structure and calculate gauge invariant corelators comparing them in several cases to existing results.
• In addition to the non-critical explicitly broken scale invariance massive case we consider also a massive ground state where the scale symmetry is spontaneously broken.