论文标题
培养基中全息两点功能
Holographic two-point functions in medium
论文作者
论文摘要
我们在由两种物质组成的介质中研究了两点相关函数，这是三维广义$ p $ brane气体几何形状的双重。遵循全息处方，我们计算介质中的时间和空间两点函数。通常，介质的筛选效果使两点函数比CFT的两点函数更快地降低。然而，在极限限制中，我们发现时间两点函数仍然是共形的。这表明二维UV CFT在IR极限内流入一维量子力学。这与以下事实一致：极限限制中的近距离几何形状减少到AD $ _2 $。我们还研究了代表两个子系统之间相关性的全息相互信息。我们表明，相互信息消失的IR区域的临界距离导致与两点函数的相关长度相似的行为。
We study two-point correlation function in a medium composed of two kinds of matter, which is the dual of a three-dimensional generalized $p$-brane gas geometry. Following the holographic prescription, we calculate temporal and spatial two-point functions in the medium. In general, the screening effect of the medium makes two-point functions decrease more rapidly than the CFT's two-point function. In the extremal limit, however, we find that a temporal two-point function is still conformal. This indicates that a two-dimensional UV CFT flows into a one-dimensional quantum mechanics in the IR limit. This is consistent with the fact that the near horizon geometry in the extremal limit reduces to AdS$_2$. We also investigate holographic mutual information representing the correlation between two subsystems. We show that a critical distance in the IR region, where the mutual information vanishes, leads to a similar behavior to the correlation length of a two-point function.
