Critical point in heavy-quark region of QCD on fine lattices

TL;DR

This study investigates the critical point in the heavy-quark region of QCD at finite temperature using finite-size scaling and high-precision Monte Carlo simulations on finer lattices, extending previous work.

Contribution

It extends previous analyses to finer lattices ($N_t=6$ and 8) and larger aspect ratios, employing an efficient Monte Carlo method with hopping-parameter expansion for high-precision results.

Findings

Extended the critical point analysis to finer lattices.

Improved precision using hopping-parameter expansion and reweighting.

Analyzed effects of higher-order terms in the expansion.

Abstract

We perform a finite-size scaling analysis of the critical point in the heavy-quark region of QCD at nonzero temperature. Our previous analysis on the Binder cumulant at $N_t=4$ is extended to finer lattices with $N_t=6$ and $8$. The aspect ratio is also extended up to $15$ to suppress the non-singular contribution. High-precision analysis of the Binder cumulant is realized by an efficient Monte-Carlo simulation with the hopping-parameter expansion (HPE). Effects of higher-order terms in the HPE are incorporated by the reweighting method.