Entanglement Entropy of a Scalar Field in Anti-de Sitter Space

Abstract: We study the entanglement entropy of a free massive 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. We determine the structure of the UV-divergent terms in the entanglement entropy and compute the numerical values of the respective coefficients. We confirm the connection between the coefficient of the logarithmic term and the conformal anomaly.