On the calculation and use of non-zero momentum correlators in lattice simulations

TL;DR

This paper discusses how to efficiently compute non-zero momentum correlators in lattice simulations, which can enhance the analysis of disconnected diagrams without significant extra computational effort.

Contribution

It introduces a method leveraging momentum conservation to calculate non-zero momentum correlators, improving the analysis of disconnected diagrams in lattice simulations.

Findings

Non-zero momentum correlators can be computed with minimal additional cost.

Using momentum conservation enhances the analysis of disconnected diagrams.

The method provides new insights into spectral data extraction.

Abstract

In lattice simulations one generally projects correlators over zero spatial momentum to calculate masses and related spectral data. The sum over space lattice points, however, discards information which may be useful especially in the calculation of disconnected diagrams. By using momentum conservation, the calculation of non-zero momentum components of disconnected diagrams and other quantities related to space convolutions can be done with little additional computational cost and may be useful in the analysis of disconnected correlators.