Information theoretical view of QCD effective model with heavy quarks
Information theoretical view of QCD effective model with heavy quarks
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DOI：
10.1103/physrevd.103.014014
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发表时间：
2020-09
影响因子：
5
通讯作者：
K. Kashiwa;H. Kouno
中科院分区：
文献类型：
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作者：
K. Kashiwa;H. Kouno
为了理解相变现象，信息论方法可以根据概率分布提取相变现象的一些重要性质。本文讨论了与重夸克QCD有效模型相对应的具有外场的三维三态Potts模型的信息论性质。基于马尔可夫链蒙特-卡罗方法，对表征两个自旋变量信息流的传递互信息进行了数值估计。传递互信息在束缚-解除束缚跃迁附近有一个峰值，可以用来探测跃迁的前兆。由于即使Polyakov环连续平滑地变化，传递互信息仍然有峰值，因此我们可以从信息流性质中提取出约束-解约束性质的某些方面。传递互信息表明，在纯虚化学势区，在Roberge-Weiss端点以下和之上存在显著不同的行为，这可能表明了系统由约束-解约束转变而发生的变化.
To understand the phase transition phenomena, information theoretical approaches can pick up some important properties of the phenomena based on the probability distribution. In this paper, we show information theoretical aspects of the 3-dimensional 3-state Potts model with the external field which is corresponding to the QCD effective model with heavy quarks. The transfer mutual information which represents the information flow of two spin variables is numerically estimated based on the Markov-chain Monte-Carlo method. The transfer mutual information has the peak near the confinement-deconfinement transition, and it may be used to detect the precursors of the transition. Since the transfer mutual information still have the peak even if the Polyakov-loop changes continuously and smoothly, we may pick up some aspects of the confinement-deconfinement nature from the information flow properties. Particularly, the transfer mutual information shows the significantly different behavior below and above the Roberge-Weiss endpoint existed in the pure imaginary chemical potential region, which may indicate the system change by the confinement-deconfinement transition.