Exact results for the Dirac operator spectrum in gauge theories

by Poul DAMGAARD (NBI & CERN - TH)

Thursday 26 Apr 2001, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

By defining gauge theories in a finite 4-volume, one can take the chiral limit in such a way that the Dirac operator spectrum can be computed exactly and in closed analytical form. The spectrum falls into three different universality classes, depending on the gauge group and the representation carried by the fermions. There is a one-to-one correspondence between Random Matrix Theory and the effective field theories. Using this relationship an infinite sequence of individual Dirac eigenvalue distributions have recently been computed analytically, and compared with results from latttice gauge theory.