5. Theoretical Physics (CSN4)

The Microscopic Eigenvalue Density of the Wilson Dirac Operator

by Dr Kim Splittorff (Niels Bohr Institute, Copenhagen)

Auletta A1 (LNF)

Auletta A1


Via Enrico Fermi, 40 00044 Frascati (Roma)
We discuss the effect of the lattice spacing on the microscopic spectrum of the Wilson Dirac operator. Exact results are obtained from Wilson chiral Perturbation Theory in sectors with fixed index of the Wilson Dirac operator. We discuss how these results may be used to determine the coefficients of Wilson chiral Perturbation Theory. In particular we show that the Hermiticity properties of the Wilson Dirac operator implies the existence of an Aoki phase.