Density-density correlators using all-to-all propagators

TL;DR

This paper investigates gauge invariant density-density correlators to study hadron wave functions and deformation, utilizing all-to-all propagators computed with stochastic and dilution methods, and compares results with previous non-zero momentum analyses.

Contribution

It introduces a method to compute zero momentum density-density correlators using stochastic techniques and compares these results to earlier approaches without zero momentum projection.

Findings

Zero momentum projection provides new insights into hadron structure.

Stochastic and dilution methods effectively compute all-to-all propagators.

Results differ from previous non-zero momentum analyses, highlighting the importance of projection choice.

Abstract

We present a study of gauge invariant density-density correlators. Density-density correlators probe hadron wave functions and thus can be used to study hadron deformation. Their zero momentum projection requires the computation of all-to-all propagators, which are evaluated with the standard stochastic technique, the dilution method and the stochastic sequential technique. We compare the results to a previous analysis that did not employ the zero momentum projection.