Vacuum structure as seen by overlap fermions

TL;DR

This paper investigates the QCD vacuum structure using eigenmodes of the overlap operator, exploring spectral, topological, and field strength properties to understand nonperturbative phenomena.

Contribution

It introduces a comprehensive analysis framework based on overlap fermions, combining spectral, topological, and filtering methods to study the QCD vacuum.

Findings

Eigenmodes reveal detailed spectral and localization properties.

Filtering techniques identify selfdual and antiselfdual domains.

Topological charge density exhibits various structures depending on cutoff.

Abstract

Three complementary views on the QCD vacuum structure, all based on eigenmodes of the overlap operator, are reported in their interrelation: (i) spectral density, localization and chiral properties of the modes, (ii) the possibility of filtering the field strength with the aim to detect selfdual and antiselfdual domains and (iii) the various faces of the topological charge density, with and without a cutoff \lambda_{\rm cut} = O(\Lambda_{QCD}). The techniques are tested on quenched SU(3) configurations.