Approaching the Continuum Limit of the Deconfinement Critical Point for $N_{\text{f}}=2$ Staggered Fermions

Abstract

Quenched QCD at zero baryonic chemical potential undergoes a first-order deconfinement phase transition at a critical temperature $T_c$, which is related to the spontaneous breaking of the global center symmetry. The center symmetry is broken explicitly by including dynamical quarks, which weaken the first-order phase transition for decreasing quark masses. At a certain critical quark mass, which corresponds to the $Z(2)$-critical point, the first-order phase transition turns into a smooth crossover. We investigate the $Z(2)$-critical quark mass for $N_{\text{f}}=2$ staggered fermions on $N_{\tau }=8,10$ lattices, where larger $N_{\tau }$ correspond to finer lattices. Monte-Carlo simulations are performed for several quark mass values and aspect ratios in order to extrapolate to the thermodynamic limit. We present final results for $N_{\tau }=8$ and preliminary results for $N_{\tau }=10$ for the critical mass, which are obtained from fitting to a kurtosis finite size scaling formula of the absolute value of the Polyakov loop.

arXiv comment6 pages, 3 figures, contribution to FAIR next generation scientists - 7th Edition Workshop (FAIRness2022)

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