标题： 一些全息纠缠熵的可计算贡献 显示英文标题

标题： Some Calculable Contributions to Holographic Entanglement Entropy

摘要： 使用AdS/CFT对应关系，我们研究由一个相关算符扰动的边界理论的纠缠熵，并得出两个结果。 第一个结果是，如果存在与紫外截断对数相关的贡献，则该项的系数与边界理论的状态无关。 事实上，所有发散为紫外截断某个幂次的贡献的系数都具有同样的性质。 其次，我们证明相关扰动会在纠缠熵中引入新的对数贡献。 其中一些新贡献的形式与最近在自由质量标量场理论中研究纠缠熵时发现的形式类似 [1]。 显示英文摘要

摘要： Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found recently in an investigation of entanglement entropy in a free massive scalar field theory [1].