Variance reduction strategies for lattice QCD

TL;DR

This paper reviews variance reduction techniques in lattice QCD, focusing on decompositions of quark propagators to decrease computational costs for correlation function estimations.

Contribution

It introduces variance-reduction schemes based on quark propagator decompositions, enhancing precision and potentially lowering costs in lattice QCD calculations.

Findings

Variance reduction schemes improve estimator precision.

Strategies are effective for both connected and disconnected Wick contractions.

Potential to reduce costs for large-volume lattice QCD simulations.

Abstract

A significant component of the cost of making predictions from lattice QCD stems from the computation of correlation functions on a given ensemble of gauge fields. This cost depends on the observable of interest and the details of its representation, including any approximation needed to estimate it. Moreover, the variance of such estimators may depend strongly on physical and kinematical parameters such as the lattice spacing, volume or separation, which gives an important insight into the costs of reaching the relevant physical limits. In these proceedings, I review some observables involving quark propagators, including both quark-line connected and disconnected Wick contractions, and discuss variance-reduction schemes based on decompositions of the quark propagators. Such strategies have already proven useful for precision physics observables and in future may help reduce the computational cost of reaching large volumes.