A Stochastic Method for Computing Hadronic Matrix Elements

TL;DR

This paper introduces a stochastic approach for calculating baryon three-point functions, offering greater versatility and efficiency at large lattice volumes for computing hadronic matrix elements.

Contribution

The paper presents a novel stochastic method that improves upon the traditional sequential approach for baryon three-point function calculations.

Findings

Favorable signal-to-noise ratio at large volumes

Error scaling analysis supports efficiency of the stochastic method

Method is more versatile than existing techniques

Abstract

We present a stochastic method for the calculation of baryon three-point functions that is more versatile compared to the typically used sequential method. We analyze the scaling of the error of the stochastically evaluated three-point function with the lattice volume and find a favorable signal-to-noise ratio suggesting that our stochastic method can be used efficiently at large volumes to compute hadronic matrix elements.