Odd-flavored QCD_3 and Random Matrix Theory

Abstract

We consider QCD_3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function. We argue that the theory is parity invariant at the classical level if an odd number of masses are zero. By introducing so-called pseudo-orthogonal polynomials we are able to relate the kernel to the kernel of the chiral unitary ensemble in the sector of topological charge $\nu={1/2}$. We prove universality and are able to write the kernel in the microscopic limit in terms of field theory finite-volume partition functions.