High-precision analysis of the critical point in heavy-quark QCD at $N_t=6$

TL;DR

This study performs a high-precision Binder-cumulant analysis of the critical point in heavy-quark QCD at $N_t=6$, extending previous work at $N_t=4$ with finer lattices and larger volumes, incorporating higher-order hopping-parameter terms.

Contribution

The paper advances the analysis of the critical point in heavy-quark QCD by using finer lattices, larger volumes, and higher-order hopping-parameter expansion terms at $N_t=6$.

Findings

Finite-size scaling violations are more prominent on finer lattices.

Higher-order hopping-parameter terms improve analysis accuracy.

Critical point behavior depends on lattice fineness and volume.

Abstract

Binder-cumulant analysis of the critical point in the heavy-quark region of QCD is performed by Monte-Carlo simulations with the hopping-parameter expansion at $N_t=6$. We extend our previous analysis at $N_t=4$ to finer lattices and perform high-precision analyses on large spatial volumes up to the aspect ratio $LT=N_s/N_t=18$. Higher order terms in the hopping-parameter expansion are incorporated effectively up to 14th order. The numerical results show that the violation of the finite-size scaling becomes more prominent on the finer lattice at a given aspect ratio.