Are Topological Charge Fluctuations in QCD Instanton Dominated?

TL;DR

This paper investigates whether topological charge fluctuations in QCD are primarily caused by instantons, using lattice fermions with exact chiral symmetry to analyze eigenvector chirality across various volumes and lattice spacings.

Contribution

It provides strong evidence supporting instanton dominance of topological charge fluctuations in quenched QCD through lattice simulations with overlap fermions.

Findings

Finite density of low-lying eigenvectors shows strong chirality.

Results suggest instanton dominance in quenched QCD.

Analysis across multiple volumes and lattice spacings confirms findings.

Abstract

We consider a recent proposal by Horv\'ath {\em et al.} to address the question whether topological charge fluctuations in QCD are instanton dominated via the response of fermions using lattice fermions with exact chiral symmetry, the overlap fermions. Considering several volumes and lattice spacings we find strong evidence for chirality of a finite density of low-lying eigenvectors of the overlap-Dirac operator in the regions where these modes are peaked. This result suggests instanton dominance of topological charge fluctuations in quenched QCD.