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This study investigates the effects on the connected and disconnectedcorrelations for the scalar density that are induced by created monopoles andinstantons in the QCD vacuum. To reveal the effects, we add a monopole andanti-monopole pair in the gauge field configurations in \textit{SU}(3) byapplying the monopole creation operator to the vacuum. We vary the magneticcharges of the monopole and anti-monopole and increase the number of monopolesand anti-monopoles in the configurations. The Dirac operator of overlapfermions preserves the exact chiral symmetry in lattice gauge theory and exactzero-modes exist in its spectrum. The eigenvalues and eigenvectors of theoverlap Dirac operator have been calculated using these configurations, and thenumbers of instantons and anti-instantons which are created by these additionalmonopoles and anti-monopoles have been estimated from the numbers oftopological charges in our previous studies. In this study, we demonstrate thepreliminary results that instantons and monopoles influence the masses that areevaluated from the connected and disconnected correlation functions for thescalar density using low-lying eigenvalues and eigenvectors of the overlapDirac operator.

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