AI 中文总结
研究（3+1）维AdS空间中共形耦合标量场基态的纠缠熵，发现其紫外发散部分具普适形式、有限部分依赖边界条件，明确了有限部分对混合边界条件的依赖关系。
AI 中文摘要
我们研究了（3+1）维反德西特（AdS）空间全局坐标系下，共形耦合标量场基态的纠缠熵。考虑以AdS原点为中心的球形纠缠曲面，并允许共形边界处存在一般边界条件。通过数值与分析方法，我们表明熵的紫外发散部分具有普适形式，而紫外有限部分对边界条件敏感；我们确定了该有限部分对介于狄利克雷（Dirichlet）和诺伊曼（Neumann）之间的混合边界条件的依赖关系。
英文摘要
We study the entanglement entropy of a conformally coupled scalar field at its ground state in $(3+1)$-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS and allow for general boundary conditions at the conformal boundary. Through numerical and analytical means, we show that the UV-divergent part of the entropy has a universal form, while the UV-finite part is sensitive to the boundary conditions. We determine the dependence of the latter part on mixed boundary conditions that interpolate between Dirichlet and Neumann.
Comments26 pages, 8 figures
