论文标题
QCD有效模型的信息理论观点与重夸克
Information theoretical view of QCD effective model with heavy quarks
论文作者
论文摘要
为了了解相变现象，信息理论方法可以根据概率分布来掌握现象的一些重要特性。在本文中，我们显示了具有外部场的3维三态POTTS模型的信息理论方面，该模型与具有重夸克的QCD有效模型相对应。代表两个自旋变量的信息流的转移相互信息是基于马尔可夫链蒙特卡洛法估计的。转移相互信息的峰值在限制范围的转变附近，可用于检测过渡的前体。由于传输互信息仍然具有峰值，即使polyakov-loop连续，平稳地变化，我们可能会从信息流属性中获取限制性限制性质的某些方面。特别是，转移相互信息表明，在纯假想的化学势区域中存在下方和之上的Roberge-Weiss终点的显着不同的行为，这可能表明该系统通过限制范围的转变而变化。
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.
