Flavor Broken QCD$_3$ at Large N

Abstract

We examine the vacuum structure of QCD$_3$ with flavor group $U(f)\times U(N_f-f)$ in the limit $N\to\infty$ with $g^2N=$fixed. We find that, generically, the resolution of critical points into a series of first order pahse transitions persists at special locations in the phase diagram. In particular, the number of Grassmannians that one traverses and their locations in the phase diagram is a function of $f$.