论文标题
强耦合等离子体的全息相互信息和关键指数
Holographic Mutual Information and Critical Exponents of the Strongly Coupled Plasma
论文作者
论文摘要
本说明包含有关纠缠熵的讨论，以及具有全息偶的临界点的强耦合场理论的共同信息。我们通过分析参数的特定制度进行分析研究，这些非本地运算符在临界点附近如何行事。有趣的是，我们观察到，尽管相互信息在临界点处是恒定的，但其斜率显示了临界点附近的幂律差异。我们表明，如果我们将其视为订单参数，则在关键点和附近附近的共同信息的领先行为可能产生一组关键指数。我们对这组静态临界指数的结果是（1/2,1/2,1/2,2），它与通过热力学数量计算的相同。因此，它表明，除了互相信息的众多优点外，该数量还捕获了基础场理论的临界行为，并且可以用作适当的措施来探测与强耦合系统相关的相结构。
This note contains discussions on the entanglement entropy and mutual information of a strongly coupled field theory with a critical point which has a holographic dual. We investigate analytically, in the specific regimes of parameters, how these non-local operators behave near the critical point. Interestingly, we observe that although the mutual information is constant at the critical point, its slope shows a power-law divergence in the vicinity of the critical point. We show that the leading behavior of mutual information at and near the critical point could yield a set of critical exponents if we regard it as an order parameter. Our result for this set of static critical exponents is (1/2,1/2,1/2,2) which is identical to the one calculated via the thermodynamic quantities. Hence it suggests that beside the numerous merits of mutual information, this quantity also captures the critical behavior of the underlying field theory and it could be used as a proper measure to probe the phase structure associated with the strongly coupled systems.
