论文标题

QCD的通用缩放特性接近手性极限

Universal scaling properties of QCD close to the chiral limit

论文作者

Kaczmarek, Olaf, Karsch, Frithjof, Lahiri, Anirban, Schmidt, Christian

论文摘要

我们提出了基于晶格QCD的确定QCD的手性相变温度,其中两个无质量(上下)和一个具有其物理质量的奇怪夸克。我们提出并计算了两个光夸克质量值的手性过渡温度的两个新型估计量,对应于$ 58〜 {\ rm Mev} \ lisesimm_π\ Lessim 163〜 {\ rm Mev} $的goldstone pion块质量。手性相变温度是通过使用通用缩放关系外推到消失的触发质量来确定的。热力学,连续和手性外推之后,我们发现手性相变温度$ t_c^0 = 132^{+3} _ { - 6} $ MEV。我们还显示了一些初步计算,这些计算使用了伪 - 关键温度的常规估计器,并与$ t_c^0 $的新估计器进行比较。此外,我们还显示了手性顺序参数及其易感性比率的结果,并认为该比率可用于以非参数方式区分$ O(n)$和$ Z_2 $通用类。

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two massless (up and down) and one strange quark having its physical mass. We propose and calculate two novel estimators for the chiral transition temperature for several values of the light quark masses, corresponding to Goldstone pion masses in the range of $58~{\rm MeV}\lesssim m_π\lesssim 163~{\rm MeV}$. The chiral phase transition temperature is determined by extrapolating to vanishing pion mass using universal scaling relations. After thermodynamic, continuum and chiral extrapolations we find the chiral phase transition temperature $T_c^0=132^{+3}_{-6}$ MeV. We also show some preliminary calculations that use the conventional estimator for the pseudo-critical temperature and compare with the new estimators for $T_c^0$. Furthermore, we show results for the ratio of the chiral order parameter and its susceptibility and argue that this ratio can be used to differentiate between $O(N)$ and $Z_2$ universality classes in a non-parametric manner.

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