Bilinear condensate in three-dimensional large-$N_c$ QCD

Abstract

We find clear numerical evidence for a bilinear condensate in three-dimensional QCD in the 't Hooft limit. We use a non-chiral random matrix model to extract the value of the condensate $\Sigma$ from the low-lying eigenvalues of the massless anti-Hermitian overlap Dirac operator. We estimate $\Sigma /{\lambda }^2=0.0042\pm 0.0004$ in units of the physical 't Hooft coupling.

Comments: 9 pages, 4 figures