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arXiv · 2505.15980

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

Konstantinos Boutivas·Dimitrios Katsinis·Ioannis Papadimitriou·Georgios Pastras·Nikolaos Tetradis
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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.

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Konstantinos Boutivas, Dimitrios Katsinis, Ioannis Papadimitriou, Georgios Pastras, Nikolaos Tetradis. 2025-05-21. Entanglement Entropy of a Scalar Field in Anti-de Sitter Space. https://arxiv.org/abs/2505.15980

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