2013/06/30 by Yitzhak Frishman, Jacob Sonnenschein · 1 citation
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep12(2013)091
17 pages,2 figures, comments and acknowledgements added
arxiv created 2013/07/21 · arxiv updated 2015/06/16
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 λ=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.