Entanglement on a Sphere

2025/07/01 by Konstantinos Boutivas, Dimitrios Katsinis, Boutivas, Konstantinos +7
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.2507.01174

openalex publication_date 2025/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Entanglement Entropy of a Scalar Field in Anti-de Sitter Space
• Irreversibility of quantum field theory in de Sitter: the C, F and A theorems
• Replica analysis of entanglement properties
• Entanglement Entropy as a Probe Beyond the Horizon
• A Numerical Calculation of Entanglement Entropy in de Sitter Space
• Entanglement in (1+1)-dimensional Free Scalar Field Theory: Tiptoeing between Continuum and Discrete Formulations
• Calculation of reduced density matrices from correlation functions
• On geometric entropy
• Entropy and Area

Related

• Entanglement Entropy of a Scalar Field in Anti-de Sitter Space
• Entanglement entropy of a scalar field across a spherical boundary in the Einstein universe
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes
• Entanglement entropy for even spheres
• Entanglement Entropy as a Probe Beyond the Horizon