# Low-Lying Eigenvalues of the Wilson-Dirac Operator

## TL;DR

This paper investigates the low-lying eigenvalues and eigenvectors of the Wilson-Dirac operator in lattice QCD, comparing quenched and unquenched simulations and analyzing localization properties in SU(2) and SU(3).

## Contribution

It provides new insights into the spectral properties and localization behavior of the Wilson-Dirac operator's eigenmodes in different simulation contexts.

## Key findings

- Eigenvalues differ between quenched and unquenched simulations.
- Eigenvectors exhibit localization properties in SU(2) and SU(3).
- Results enhance understanding of spectral features in lattice QCD.

## Abstract

An exploratory study of the low-lying eigenvalues of the Wilson-Dirac operator and their corresonding eigenvectors is presented. Results for the eigenvalues from quenched and unquenched simulations are discussed. The eigenvectors are studied with respect to their localization properties in the quenched approximation for the cases of SU(2) and SU(3).