Practical all-to-all propagators for lattice QCD

TL;DR

This paper introduces a novel method for efficiently computing all-to-all quark propagators in lattice QCD by combining spectral decomposition with diluted noisy estimators, significantly reducing errors.

Contribution

The method innovatively combines spectral decomposition and diluted noisy estimators to improve accuracy in lattice QCD calculations.

Findings

Errors are dramatically reduced compared to traditional methods.

The approach effectively computes the lowest eigenmodes exactly.

Significant improvement in propagator computation accuracy.

Abstract

A new method for computing all elements of the lattice quark propagator is proposed. The method combines the spectral decomposition of the propagator, computing the lowest eigenmodes exactly, with noisy estimators which are 'diluted', i.e. taken to have support only on a subset of time, space, spin or colour. We find that the errors are dramatically reduced compared to traditional noisy estimator techniques.