On the low fermionic eigenmode dominance in QCD on the lattice

TL;DR

This paper demonstrates that using low-lying eigenmodes of the Dirac-Wilson matrix effectively approximates fermion loop operators in lattice QCD, aiding in topological charge and meson studies.

Contribution

It introduces a spectral approximation method utilizing low-lying eigenmodes for fermion loops, improving efficiency in large lattice QCD calculations.

Findings

Spectral approach is competitive for topological charge estimation.

Partial summation techniques achieve sufficient saturation for Tr Q^{-1}.

Early plateau formation in eta' meson effective mass plots.

Abstract

We demonstrate the utility of a spectral approximation to fermion loop operators using low-lying eigenmodes of the hermitian Dirac-Wilson matrix, Q. The investigation is based on a total of 400 full QCD vacuum configurations, with two degenerate flavors of dynamical Wilson fermions at beta =5.6, at two different sea quark masses. The spectral approach is highly competitive for accessing both topological charge and disconnected diagrams, on large lattices and small quark masses. We propose suitable partial summation techniques that provide sufficient saturation for estimating Tr Q^{-1}, which is related to the topological charge. In the effective mass plot of the eta' meson we achieved a consistent early plateau formation, by ground state projecting the connected piece of its propagator.