End point of the first-order phase transition of QCD in the heavy quark region by reweighting from quenched QCD

Abstract

We study the end point of the first-order deconfinement phase transition in two and 2+1 flavor QCD in the heavy quark region of the quark mass parameter space. We determine the location of critical point at which the first-order deconfinement phase transition changes to crossover, and calculate the pseudo-scalar meson mass at the critical point. Performing quenched QCD simulations on lattices with the temporal extents Nt=6 and 8, the effects of heavy quarks are determined using the reweighting method. We adopt the hopping parameter expansion to evaluate the quark determinants in the reweighting factor. We estimate the truncation error of the hopping parameter expansion by comparing the results of leading and next-to-leading order calculations, and study the lattice spacing dependence as well as the spatial volume dependence of the result for the critical point. The overlap problem of the reweighting method is also examined. Our results for Nt=4 and 6 suggest that the critical quark mass decreases as the lattice spacing decreases and increases as the spatial volume increases.

25 pages, 31 figures, 8 tables

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• Finite-size scaling around the critical point in the heavy quark region of QCD
• Stealth dark matter confinement transition and gravitational waves
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Scope and convergence of the hopping parameter expansion in finite temperature QCD with heavy quarks around the critical point
• $\theta$ dependence of $T_c$ in 4d SU(3) Yang-Mills theory with histogram method and the Lee-Yang zeros in the large $N$ limit
• Deconfinement in the presence of a strong magnetic field
• Strong coupling methods in QCD thermodynamics
• Phase structure of heavy dense lattice QCD and the three-state Potts model
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories
• From lattice to observables: Real and virtual experiments for exploring hot and dense QCD