Fun with Dirac eigenvalues

Abstract

It is popular to discuss low energy physics in lattice gauge theory in terms of the small eigenvalues of the lattice Dirac operator. I play with some ensuing pitfalls in the interpretation of these eigenvalue spectra.

Comments: 10 pages, 6 figures. Contribution to "Sense of beauty in physics," 26-27 Jan. 2006, Univ. Pisa. Revised version adds references and makes minor clarifications