How to identify zero modes for improved staggered fermions

Abstract

We present results of the eigenvalue spectrum for the staggered Diräc operator obtained using a modified Lanczos algorithm. We identify zero modes and non-zero modes. We derive the chiral Ward identity derived from the conserved $U(1)_A$ symmetry, and check it numerically. This is the first step toward construction of an improved method to identify zero modes reliably with staggered fermions.

8 pages, 10 figures, Lattice 2017 proceeding, references augmented