Recent update of nucleon axial-vector charge with the PACS10 superfine lattice

TL;DR

This paper updates the calculation of the nucleon axial-vector charge using superfine lattice QCD configurations at physical quark masses, examining continuum physics consistency through PCAC relations.

Contribution

It presents new results at superfine lattice spacing and verifies PCAC relations to ensure accurate continuum physics reproduction in lattice QCD.

Findings

Results at superfine lattice spacing are consistent with continuum physics

PCAC relations are validated within statistical accuracy

Provides improved precision in nucleon axial-vector charge calculations

Abstract

We update the results of the nucleon axial-vector charge with the third ensemble of the PACS10 gauge configurations, which are generated by the PACS Collaboration at the physical point with lattice volume larger than $(10\;{\rm fm})^4$ and three different lattice spacings, 0.085 fm (coarse), 0.063 fm (fine) and 0.041 fm (superfine). Although the results of the first two ensembles generated at the coarse and fine lattice spacings are published, our study using the third one generated at the superfine lattice spacing is still underway. In this work, the low-energy relations arising from the partially conserved axial-vector current (PCAC) relation are also examined in terms of the nucleon three-point functions to verify whether the lattice QCD data correctly reproduces the physics in the continuum within the statistical accuracy.