New configuration set of HAL QCD collaboration

TL;DR

This paper reports on a new set of lattice QCD configurations generated by the HAL collaboration, analyzing their properties, scale setting, and how well the resulting hadron spectra match experimental data.

Contribution

The paper introduces a new configuration set with detailed analysis of properties, scale setting, and validation against experimental hadron spectra.

Findings

Lattice cutoff determined as 2338.8 MeV with uncertainties.

Hadron spectra agree well with experimental results.

Operator dependence of correlation functions studied.

Abstract

We give a brief report on the basic properties and cutoff scale of our new configuration set (HAL-Conf-2023). We generated 8,000 trajectories of the gauge configurations on $96^4$ lattices with the same lattice parameters as the PACS collaboration \cite{Ishikawa:2018jee, PACS:2019ofv}. The topological distribution, the PCAC masses, and decay constants for pseudo-scalar mesons are studied. As for the scale setting, we utilize the $\Omega$ baryon mass as a reference scale and carefully investigate the operator dependence of the correlation function. As a result, we obtain $a^{-1}=2338.8(1.5)^{+0.2}_{-3.3} \ [{\rm MeV}]$ as a lattice cutoff. Our hadron spectra in the physical unit reproduce well the experimental results.