arXiv:2507.01174 · Physical review. D/Physical review. D.
Entanglement on a sphere
Konstantinos Boutivas, Dimitrios Katsinis, Georgios Pastras, Nikolaos Prountzos, N. Tetradis
Abstract
We study the entanglement entropy of a massive scalar field in the background of the Einstein universe. We determine numerically the structure of the UV-divergent terms. We study analytically the IR term that originates in the long-range correlations arising from the field zero mode on the sphere. We compare with previous results for a scalar field in a de Sitter or an anti–de Sitter background.