Stochastic All-to-All Propagators for Baryon Correlators

TL;DR

This paper compares dilution schemes for baryonic two-point functions, showing that increasing projectors on a single noise source often reduces computational inversions more efficiently than multiple sources.

Contribution

It introduces a comparison of dilution schemes in baryon correlator evaluations and demonstrates the efficiency of using more projectors on a single noise source.

Findings

Increasing dilution projectors reduces the number of inversions needed.

Single noise source with more projectors is more efficient than multiple sources.

Study performed on 100 quenched gauge configurations.

Abstract

The effectiveness of various dilution schemes in the evaluation of baryonic two-point functions is compared. The error of a representative set of observables as a function of the number of Dirac matrix inversions is used as a basis for comparison. To achieve an equivalent reduction in error, we demonstrate that an increase in the number of dilution projectors on a single noise source usually requires fewer inversions than the use of multiple noise sources. This exploratory study was performed on 100 quenched gauge configurations and will be applied to the calculation of low-lying hadron spectra.