1306.6465 (Yitzhak Frishman et al.)

Breaking conformal invariance- Large N Chern-Simons theory coupled to
massive fundamental fermions    [PDF]

Yitzhak Frishman, Jacob Sonnenschein

We analyze the theory of massive fermions in the fundamental representation coupled to a U(N) Chern-Simons gauge theory at level K. It is done in the large N, large K limits where \lambda=N/K is kept fixed. Following [arXiv:1110.4386 [hep-th]] we obtain the solution of a Schwinger-Dyson equation for the two point function, the exact expression for the fermion propagator and the partition function at finite temperature. We prove that in the large $N$ limit there exists an infinite set of classically conserved high spin currents also when a mass is introduced, breaking the conformal invariance. In analogy to the seminal work of 't Hooft on two dimensional QCD, we write down a Bethe-Salpeter equation for the wave function of a "quark anti-quark" bound state. We show that unlike the two dimensional QCD case, the three dimensional Chern-Simons theory does not admit a confining spectrum.

View original: http://arxiv.org/abs/1306.6465