Monopole and instanton effects on connected and disconnected correlations for scalar density

TL;DR

This paper explores how monopoles and instantons affect scalar density correlations in the QCD vacuum by adding monopole pairs and analyzing the resulting eigenmodes of the Dirac operator.

Contribution

It introduces a method to study monopole and instanton effects on scalar correlations using lattice QCD configurations with monopole creation and eigenmode analysis.

Findings

Instantons and monopoles influence scalar density correlation functions.

The eigenvalues and eigenvectors reveal effects on scalar masses.

Preliminary results show a correlation between topological objects and scalar observables.

Abstract

This study investigates the effects on the connected and disconnected correlations for the scalar density that are induced by created monopoles and instantons in the QCD vacuum. To reveal the effects, we add a monopole and anti-monopole pair in the gauge field configurations in \textit{SU}(3) by applying the monopole creation operator to the vacuum. We vary the magnetic charges of the monopole and anti-monopole and increase the number of monopoles and anti-monopoles in the configurations. The Dirac operator of overlap fermions preserves the exact chiral symmetry in lattice gauge theory and exact zero-modes exist in its spectrum. The eigenvalues and eigenvectors of the overlap Dirac operator have been calculated using these configurations, and the numbers of instantons and anti-instantons which are created by these additional monopoles and anti-monopoles have been estimated from the numbers of topological charges in our previous studies. In this study, we demonstrate the preliminary results that instantons and monopoles influence the masses that are evaluated from the connected and disconnected correlation functions for the scalar density using low-lying eigenvalues and eigenvectors of the overlap Dirac operator.