Analytical comparison of entanglement entropy in massive scalar fields, highlighting UV and IR terms.
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.
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Boutivas et al. (2025) studied this question.
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