论文标题
非统一D-branes的纠缠措施
Entanglement measures for non-conformal D-branes
论文作者
论文摘要
我们研究与某些非统一场理论相关的各种纠缠措施。我们考虑非统一的d $ p $ brane背景，这些背景对于这些字段理论是双重的，用于我们的全息分析。限制了我们在$ p = 1,2,4 $中的利益，我们明确计算全息纠缠熵和纠缠楔横截面的属性，$ \ text {e} _ {w} $，对应于这些设置中的两个并行的边界区域。我们在分析上研究了这些量的低温和高温行为以及使用数值方法。在所有情况下，$ \ text {e} _ {w} $随温度单调降低。我们观察到不连续的跳跃在$ \ text {e} _ {w} $中，而在所有考虑的情况下，子区域之间的宽度（以及分离）达到了关键值。但是，对于上述配置，相应的全息相互信息$ \ texttt {i} _ {m} $不断减少至零。我们还注意到，猜想的不等式$ \ text {e} _ {w} \ geq \ texttt {i} _ {m}/2 $仍然适用于非统一字段理论。我们通过分析确定这些子区域之间的临界分离，这些区域触发了全息相互信息中的相变。
We study various entanglement measures associated with certain non-conformal field theories. We consider non-conformal D$p$-brane backgrounds, which are dual to these field theories, for our holographic analysis. Restricting our interests in $p=1,2,4$, we explicitly compute properties of holographic entanglement entropy and entanglement wedge cross section, $\text{E}_{W}$, corresponding to two parallel strip shaped boundary subregions in these set ups. We study low and high temperature behaviours of these quantities analytically as well as using numerical methods. In all cases, the $\text{E}_{W}$ decrease monotonically with temperature. We observe discontinuous jumps in $\text{E}_{W}$ while the width of (as well as the separation between) the subregions reach critical values in all the cases considered. However, the corresponding holographic mutual information $\texttt{I}_{M}$ continuously decreases to zero for the aforementioned configurations. We also notice that the conjectured inequality $\text{E}_{W} \geq \texttt{I}_{M}/2$ still holds for non-conformal field theories as well. We analytically determine the critical separation between these subregions that triggers a phase transition in the holographic mutual information.
