Breaking conformal invariance- Large N Chern-Simons theory coupled to massive fundamental fermions
Abstract
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 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 K 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.
Keywords
Cite
@article{arxiv.1306.6465,
title = {Breaking conformal invariance- Large N Chern-Simons theory coupled to massive fundamental fermions},
author = {Yitzhak Frishman and Jacob Sonnenschein},
journal= {arXiv preprint arXiv:1306.6465},
year = {2015}
}
Comments
17 pages,2 figures, comments and acknowledgements added