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A Numerical Calculation of Entanglement Entropy in de Sitter Space

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arxiv 2407.07811 v2 pith:LUO74FFS submitted 2024-07-10 hep-th gr-qchep-latquant-ph

Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis This is my paper · ORCID
classification hep-thgr-qchep-latquant-ph
keywords entanglemententropysittercalculationdependsentanglingnumericalscales
verification ladder T0 review T1 audit T2 compute T3 formal
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The entanglement entropy of a massless scalar field in de Sitter space depends on multiple scales, such as the radius of the entangling surface, the Hubble constant and the UV cutoff. We perform a high-precision numerical calculation using a lattice model in order to determine the dependence on these scales in the Bunch-Davies vacuum. We derive the leading de Sitter corrections to the flat-space entanglement entropy for subhorizon entangling radii. We analyze the structure of the finite-size effects and we show that the contribution to the entanglement entropy of the sector of the theory with vanishing angular momentum depends logarithmically on the size of the overall system, which extends beyond the horizon.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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

    hep-th 2025-05 conditional novelty 7.0 of 10

    For a free massive scalar in AdS4, the UV-divergent entanglement entropy of centered spherical regions takes a fitted form whose logarithmic coefficient, -1/90 plus (-mu^2 a^2/6 - 1/3) times the proper area, matches c...

  2. Boundary Conditions and Entanglement in Anti-de Sitter Space

    hep-th 2026-08 conditional novelty 6.0 of 10

    For a conformally coupled scalar in AdS4, the UV-divergent entanglement entropy is independent of boundary conditions, while the UV-finite part acquires a boundary-condition dependent R^2/a^2 correction with coefficie...

  3. Entanglement on a Sphere

    hep-th 2025-07 conditional novelty 6.0 of 10

    The entanglement entropy of a scalar field on the R×S^3 Einstein universe has an infrared contribution from the zero mode with coefficient c_IR = 1/6, distinct from the de Sitter value 1/3.

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