Chiral random matrix theory for staggered fermions

TL;DR

This paper develops a comprehensive chiral random matrix theory for staggered fermions, including all leading taste symmetry breaking effects, and compares theoretical predictions with lattice simulation results.

Contribution

It extends previous models by incorporating all leading taste breaking terms in the random matrix theory for staggered fermions.

Findings

The theory captures taste symmetry breaking effects on eigenvalues.

Comparison with lattice simulations shows good agreement.

Provides insights into weak and strong taste breaking regimes.

Abstract

We present a completed random matrix theory for staggered fermions which incorporates all taste symmetry breaking terms at their leading order from the staggered chiral Lagrangian. This is an extension of previous work which only included some of the taste breaking terms. We will also discuss the effects of taste symmetry breaking on the eigenvalues in the weak and strong taste breaking limits, and compare with some results from lattice simulations.