论文标题

并行回火算法应用于淬灭QCD的解元过渡

Parallel tempering algorithm applied to the deconfinement transition of quenched QCD

论文作者

Kara, Ruben, Borsanyi, Szabolcs, Fodor, Zoltan, Godzieba, Daniel A., Parotto, Paolo, Sexty, Denes

论文摘要

带有无限重夸克群体的QCD表现出一阶热过渡,这是由全球$ \ Mathcal {z} _3 $中心对称性的自发断裂驱动的。我们分析了相应的顺序参数,即Polyakov环及其力矩,并以严格的有限尺寸缩放显示,在连续限制中,过渡是一阶。我们表明,使用平行回火算法可以显着减少大型自动相关时间,这主要是由于超临界速度降低而引起的。结果,我们以每磨精度和潜在热量计算过渡温度$ W_0 T_C $,进行了控制的连续体和无限的体积外推。

QCD with infinite heavy quark masses exhibits a first-order thermal transition which is driven by the spontaneous breaking of the global $\mathcal{Z}_3$ center symmetry. We analyze the corresponding order parameter, namely the Polyakov loop and its moments, and show, with a rigorous finite size scaling, that in the continuum limit the transition is of first order. We show that the use of a parallel tempering algorithm can significantly reduce the large auto-correlation times which are mainly caused by the supercritical slowing down. As a result, we calculate the transition temperature $w_0 T_c$ with per-mill precision, and the latent heat, carrying out controlled continuum and infinite volume extrapolations.

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