New configuration set of HAL QCD collaboration

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 $a^{-1}=2338.8(1.5{)}_{-3.3}^{+0.2}[\mathrm{MeV}]$ as a lattice cutoff. Our hadron spectra in the physical unit reproduce well the experimental results.

Comments: 7 pages, Proceedings of the 40th Lattice conference at Fermilab, Batavia, Illinois, USA, from July 31 to August 4, 2023