标题： 全息纠缠性质在EMD模型中的QCD相图中 显示英文标题

标题： Holographic entanglement properties in the QCD phase diagram from EMD models

摘要： 在本研究中，我们使用全息爱因斯坦-麦克斯韦-标量（EMD）模型，研究了量子色动力学（QCD）相图中纠缠性质的行为。我们考虑了两个具有代表性的全息QCD模型，并检查了各种纠缠度量，包括纠缠熵、条件互信息和纯化纠缠。我们发现，使用直接紫外截断重整化方法得到的纠缠熵对所使用的具体模型有显著依赖性。然而，其他非发散的纠缠度量，如与截断无关的纠缠熵、条件互信息和纯化纠缠，在我们的计算中表现出一致性。当我们特别关注低于$300$ MeV 的温度范围时，观察到三种纠缠度量之间有相似的行为。这可能表明，在此温度范围内，QCD物质的纠缠随着温度的升高而减少。此外，我们在临界端点（CEP）和一阶相变处观察到了纠缠性质的不同相变行为。这一观察结果突显了纠缠性质作为QCD物质相变有效序参数的潜力。 显示英文摘要

摘要： In this study, we investigate the behavior of entanglement properties in the QCD phase diagram using holographic Einstein-Maxwell-Dilaton (EMD) models. We consider two representative holographic QCD models and examine various entanglement measures, including entanglement entropy, conditional mutual information, and entanglement of purification. We find that the entanglement entropy obtained using the direct UV-cutoff renormalization method shows significant dependence on the specific model being used. However, the outcomes of other non-divergent entanglement measures, such as cutoff-independent entanglement entropy, conditional mutual information, and entanglement of purification, exhibit congruence in our calculations. When we focus specifically on the temperature range below $300$ MeV, we observe a similar behavior among the three entanglement measures. This may suggests that within this temperature range, the entanglement of QCD matter decreases with increasing temperature. Additionally, we observe distinct phase transition behaviors of entanglement properties at the critical end point (CEP) and first-order phase transitions. This observation highlights the potential of entanglement properties as effective order parameters for QCD matter phase transitions.