标题： 膜屏蔽夸克和缺陷算符 显示英文标题

标题： Branes Screening Quarks and Defect Operators

摘要： 此处我们推广了一个广为人知的计算，显示在零温度下的AdS/CFT中，威尔逊线表现出库仑标度定律。一个返回边界表面与一个深入体内的表面之间的面积差决定了两个夸克之间的势。通过在几何中嵌入Karch-Randall（KR）膜，这一结果自然地扩展到与边界共形场理论（BCFTs）中一般p形式对称性相关的威尔逊面。我们发现（广义的）库仑定律标度在子区域大小$\Gamma$仅在膜的临界角$\theta_{c,p}$以上时才能恢复。两个夸克（或缺陷算符）之间的势在连接它们的表面消失时恰好为零，发生在$\theta_{c,p}$。这种屏蔽效应，在临界角以下操作符被完全屏蔽，是库仑定律到周长定律的相变，膜的角度$\theta_p$起着序参数的作用。这种效应也在有限温度下进行了探讨，我们在其中引入了一种新的正则化程序以获得显式结果。 显示英文摘要

摘要： Here we generalize a well-known computation showing Wilson lines exhibit Coulomb scaling laws in AdS/CFT at zero temperature. The area difference between a surface that returns to the boundary, and one that plunges into the bulk, determines the potential between two quarks. This result is naturally extended to Wilson surfaces associated to general p-form symmetries in boundary conformal field theories (BCFTs) by embedding a Karch-Randall (KR) brane in the geometry. We find (generalized) Coulomb law scaling in subregion size $\Gamma$ is recovered only above the critical angle for the brane, $\theta_{c,p}$. The potential between the two quarks (or defect operators) vanishes precisely when the surface connecting them ceases to exist at $\theta_{c,p}$. This screening effect, where the operators are fully screened below the critical angle, is a phase transition from Coulomb law to perimeter law with the brane angle $\theta_p$ acting as an order parameter. This effect is also explored at finite temperature, where we introduce a new regularization procedure to obtain closed-form results.