Progress on the QCD deconfinement critical point for $N_\text{f}=2$ staggered fermions

TL;DR

This paper investigates the critical quark mass for the QCD deconfinement transition in two-flavor lattice QCD, analyzing finite size scaling and exploring effective theories near the $Z(2)$-critical point.

Contribution

It provides new lattice QCD results for the $Z(2)$-critical point at different lattice sizes and explores the development of a Ginzburg-Landau effective theory around this point.

Findings

Critical quark mass values obtained from finite size scaling.

Evidence supporting the existence of a $Z(2)$-critical point.

Analysis of the continuum limit behavior.

Abstract

The global center symmetry of quenched QCD at zero baryonic chemical potential is broken spontaneously at a critical temperature $T_c$ leading to a first-order phase transition. Including heavy dynamical quarks breaks the center symmetry explicitly and weakens the first-order phase transition for decreasing quark masses until it turns into a smooth crossover at a $Z(2)$-critical point. We investigate the $Z(2)$-critical quark mass value towards the continuum limit for $N_\text{f}=2$ flavors using lattice QCD in the staggered formulation. As part of a continued study, we present results from Monte-Carlo simulations on $N_\tau=8,10$ lattices. Several aspect ratios and quark mass values were simulated in order to obtain the critical mass from a fit of the Polyakov loop to a kurtosis finite size scaling formula. Moreover, the possibility to develop a Ginzburg-Landau effective theory around the $Z(2)$-critical point is explored.