Overlap Dirac Operator, Eigenvalues and Random Matrix Theory

Abstract

The properties of the spectrum of the overlap Dirac operator and their relation to random matrix theory are studied. In particular, the predictions from chiral random matrix theory in topologically non-trivial gauge field sectors are tested.

3 pages latex with 1 postscript figure. Talk presented at LATTICE99(topology)

References in corpus (5)

• Exactly massless quarks on the lattice
• Quark spectra, topology and random matrix theory
• A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions
• Universality in Chiral Random Matrix Theory at $\beta =1$ and $\beta =4$
• Evidence for fractional topological charge in SU(2) pure Yang-Mills theory