Distance preconditioning for lattice Dirac operators

TL;DR

This paper introduces a distance-based preconditioning method for lattice Dirac operators that enhances the accuracy of heavy quark correlators and speeds up light quark propagator calculations.

Contribution

It presents a novel preconditioning technique based on propagator decay, improving computational efficiency and accuracy in lattice QCD simulations.

Findings

Improved accuracy of heavy quark correlators at large distances

Accelerated computation of light quark propagators

Effective preconditioning based on propagator decay

Abstract

We propose a preconditioning of the Dirac operator based on the factorisation of a predefined function related to the decay of the propagator with the distance. We show that it can improve the accuracy of correlators involving heavy quarks at large distances and accelerate the computation of light quark propagators.