Improving meson two-point functions in lattice QCD

TL;DR

This paper introduces a method to enhance the calculation of meson two-point functions in lattice QCD by averaging low-lying eigenmode contributions over all source positions, leading to improved results at small quark masses.

Contribution

The paper presents a novel approach combining eigenmode averaging with traditional methods to improve meson correlator calculations in lattice QCD.

Findings

Significant improvement in two-point functions for small quark masses.

Effective reduction of statistical noise in correlator calculations.

Method applicable to various meson channels.

Abstract

We describe and test a method to compute Euclidean meson two-point functions in lattice QCD. The contribution from the low-lying eigenmodes of the Dirac operator is averaged over all positions of the quark sources. The contribution from the higher modes is estimated in the traditional way with one or a few source points per lattice. In some channels, we observe a significant improvement in the two-point functions for small quark masses.