Odd-flavored QCD3 and random matrix theory Original Research Article

We consider QCD3 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 with β = 2 in the sector of topological charge ν = 12. We prove universality and are able to write the kernel in the microscopic limit in terms of field theory finite-volume partition functions.