论文标题
接近$ n_ \ text {f} = 2 $交错的fermions的deconfinement关键点的连续限制
Approaching the Continuum Limit of the Deconfinement Critical Point for $N_\text{f}=2$ Staggered Fermions
论文作者
论文摘要
在零重的化学电位下淬灭的QCD在临界温度$ t_c $下经历一阶解料相变，这与全球中心对称性的自发断裂有关。中心对称性通过包括动态夸克而明确折断，从而削弱了减少夸克质量的一阶相变。在某个关键的夸克质量上，对应于$ z（2）$ - 关键点，一阶相变变成平滑的跨界。我们调查了$ z（2）$ - $ n_ \ text {f} = 2 $交错的费米子的$ z（2）$ - $n_τ= 8，10 $ lattices，其中较大的$n_τ$对应于Finer Lattices。为了推断到热力学极限，对几个夸克质量值和长宽比进行了蒙特卡洛模拟。我们提出了$N_τ= 8 $的最终结果和$N_τ= 10 $的初步结果，临界质量是从拟合到峰度有限尺寸缩放公式的Polyakov Loop的绝对值。
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 $N_τ=8, 10$ lattices, where larger $N_τ$ 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 $N_τ=8$ and preliminary results for $N_τ=10$ for the critical mass, which are obtained from fitting to a kurtosis finite size scaling formula of the absolute value of the Polyakov loop.
