Poster presented by Ivan Hip
Topic: Topology and Confinement
Comparing Lattice Dirac Operators with Random Matrix Theory
Abstract: We study the eigenvalue spectra for different lattice Dirac operators (staggered, Wilson, fixed point, overlap) and study their dependence on the topological sectors. Although the model is 2D (the 1- and 2-component Schwinger model with massless fermions) our observations indicate possible problems in 4D applications. In particular misidentification of the smallest eigenvalues due to non-identification of the topological sector may hinder successful comparison with random matrix theory. In general, however, we find that RMT provides a useful tools to find thermodynamic parameters from moderate samples of finite volume configurations.