Probing the topological structure of the QCD vacuum with overlap fermions

TL;DR

This paper uses overlap fermions to investigate the topological and chiral structure of the QCD vacuum, focusing on spectral density, eigenmode localization, and topological charge fluctuations.

Contribution

It provides new insights into the QCD vacuum structure by analyzing spectral and topological properties with overlap fermions on quenched gauge configurations.

Findings

Spectral density analysis reveals the distribution of eigenvalues.

Eigenmode localization properties are characterized.

Topological charge fluctuations are examined in detail.

Abstract

Overlap fermions implement exact chiral symmetry on the lattice and are thus an appropriate tool for investigating the chiral and topological structure of the QCD vacuum. We study various chiral and topological aspects on Luescher-Weisz-type quenched gauge field configurations using overlap fermions as a probe. Particular emphasis is placed upon the analysis of the spectral density and the localisation properties of the eigenmodes as well as on the local structure of topological charge fluctuations.