Random-matrix universality in the small-eigenvalue spectrum of the lattice Dirac operator

Abstract

We analyze complete spectra of the lattice Dirac operator in SU(2) gauge theory and demonstrate that the distribution of low-lying eigenvalues is described by random matrix theory. We present possible practical applications of this random-matrix universality. In particular, reliable extrapolations of lattice gauge data to the thermodynamic limit are discussed.

Comments: 3 pages, 4 figures (included), talk given by T. Wettig at "Lattice 97", to appear in the proceedings