Entanglement on a Sphere
Konstantinos Boutivas, Dimitrios Katsinis, Georgios Pastras, Nikolaos Prountzos, Nikolaos Tetradis
TL;DR
This paper investigates the entanglement entropy of a massive scalar field on a spherical background, analyzing UV divergences and IR contributions, and comparing results with de Sitter and Anti-de Sitter spaces.
Contribution
It provides a numerical analysis of UV divergences and an analytical study of IR terms for scalar fields on a sphere, extending understanding of entanglement entropy in curved backgrounds.
Findings
UV-divergent terms characterized numerically.
IR contributions from zero modes analytically derived.
Comparison with de Sitter and Anti-de Sitter results.
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 dS or AdS background.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum many-body systems