Microscopic spectra of Dirac operators and finite-volume partition functions Original Research Article

Exact results from random matrix theory are used to systematically analyze the relationship between microscopic Dirac spectra and finite-volume partition functions. Results are presented for the unitary ensemble, and the chiral analogs of the three classical matrix ensembles: unitary, orthogonal and symplectic, all of which describe universality classes of SU(Nc) gauge theories with Nƒ fermions in different representations. Random matrix theory universality if reconsidered in this new light.