论文标题

在有限温度下重量QCD的相结构和临界点

Phase structure and critical point in heavy-quark QCD at finite temperature

论文作者

Kanaya, Kazuyuki, Ashikawa, Ryo, Ejiri, Shinji, Kitazawa, Masakiyo, Suzuki, Hiroshi, Wakabayashi, Naoki

论文摘要

我们研究了使用跳跃参数扩展(HPE)的重夸克区域中有限温度QCD的相结构和临界点。我们首先研究了$ n_t = 4 $晶格的临界点的有限尺寸缩放,其空间量很大,而HPE的领先顺序(LO)和次次领先的顺序(NLO)效应,并且发现Z(2)普遍性的临界标准范围在两种QCD的关键点上所启动的关键点是9个要启动的关键点。热力学极限,高精度。通过对HPE收敛性的研究,我们确认与HPE的LO(NLO)近似值的临界点的结果相当准确,对于$ n_t = 4 $(6),而我们需要以较大的$ N_T $结合更高级别的效果。为了将研究扩展到大型$ n_t $ lattices,然后我们开发了一种将HPE高阶术语效应的方法,直到足够高。我们在$ n_t = 6 $晶格上采用新方法报告了我们的研究状态。

We study phase structure and critical point of finite-temperature QCD in the heavy-quark region applying the hopping parameter expansion (HPE). We first study finite-size scaling on the critical point on $N_t=4$ lattices with large spatial volumes taking the leading order (LO) and the next-to-leading order (NLO) effects of the HPE, and find that the critical scaling of the Z(2) universality class expected around the critical point of two-flavor QCD is realized when the aspect ratio of the lattice is larger than about 9. This enables us to determine the critical point in the thermodynamic limit with high precisions. By a study of the convergence of the HPE, we confirm that the result of the critical point with the LO (NLO) approximation of the HPE is fairly accurate for $N_t=4$ (6), while we need to incorporate higher order effects for larger $N_t$. To extend the study to large $N_t$ lattices, we then develop a method to take the effects of higher-order terms of the HPE up to a sufficiently high order. We report on the status of our study on $N_t = 6$ lattice adopting the new method.

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