More evidence of localization in the low-lying Dirac spectrum

TL;DR

This paper investigates the localization properties of low-lying Dirac eigenvectors in quenched SU(3), providing new insights into the confining manifold's structure through inverse participation ratio and correlator analysis.

Contribution

It extends previous computations of Dirac eigenvector localization, clarifies the confining manifold's scaling dimension, and introduces correlator analysis for better characterization.

Findings

Scaling dimension of the confining manifold is near 3.

Inverse participation ratio confirms localization of eigenvectors.

2-point correlator analysis enhances understanding of localization.

Abstract

We have extended our computation of the inverse participation ratio of low-lying (asqtad) Dirac eigenvectors in quenched SU(3). The scaling dimension of the confining manifold is clearer and very near 3. We have also computed the 2-point correlator which further characterizes the localization.