Stochastic method with low mode substitution for nucleon isovector matrix elements

TL;DR

This paper presents a stochastic sandwich method with low-mode substitution to efficiently compute nucleon isovector matrix elements using overlap fermions on domain-wall configurations, improving computational techniques in lattice QCD.

Contribution

The paper introduces a novel stochastic sandwich method with low-mode substitution for calculating nucleon matrix elements in lattice QCD, enhancing efficiency and accuracy.

Findings

Calculated nucleon isovector matrix elements $g_A^3$, $g_S^3$, and $raket{x}_{u-d}$.

Applied the method to 2+1 flavor domain-wall fermion configurations.

Achieved results at $m_$ = 330 MeV on a $24^3 imes 64$ lattice.

Abstract

We introduce a stochastic sandwich method with low-mode substitution to evaluate the connected three-point functions. The isovector matrix elements of the nucleon for the axial-vector coupling $g_A^3$, scalar couplings $g_S^3$ and the quark momentum fraction $\langle x\rangle_{u -d}$ are calculated with overlap fermion on 2+1 flavor domain-wall configurations on a $24^3 \times 64$ lattice at $m_{\pi} = 330$ MeV with lattice spacing $a = 0.114$ fm.