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Some Calculable Contributions to Entanglement Entropy

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arxiv 1007.0993 v2 pith:2K3MPNHH submitted 2010-07-06 hep-th cond-mat.stat-mechquant-ph

Mark P. Hertzberg (MIT , Stanford) , Frank Wilczek (MIT) This is my paper · ORCID
classification hep-thcond-mat.stat-mechquant-ph
keywords contributionsentanglemententropyareacalculableextractfieldfinite
verification ladder T0 review T1 audit T2 compute T3 formal
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Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on correlation length, we extract finite, calculable contributions to the entanglement entropy for a scalar field between the interior and exterior of a spatial domain of arbitrary shape. The leading term is proportional to the area of the dividing boundary; we also extract finite subleading contributions for a field defined in the bulk interior of a waveguide in 3+1 dimensions, including terms proportional to the waveguide's cross-sectional geometry; its area, perimeter length, and integrated curvature. We also consider related quantities at criticality and suggest a class of systems for which these contributions might be measurable.

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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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