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Entanglement entropy of black holes

8 Pith papers cite this work. Polarity classification is still indexing.

8 Pith papers citing it
abstract

The entanglement entropy is a fundamental quantity which characterizes the correlations between sub-systems in a larger quantum-mechanical system. For two sub-systems separated by a surface the entanglement entropy is proportional to the area of the surface and depends on the UV cutoff which regulates the short-distance correlations. The geometrical nature of the entanglement entropy calculation is particularly intriguing when applied to black holes when the entangling surface is the black hole horizon. I review a variety of aspects of this calculation: the useful mathematical tools such as the geometry of spaces with conical singularities and the heat kernel method, the UV divergences in the entropy and their renormalization, the logarithmic terms in the entanglement entropy in 4 and 6 dimensions and their relation to the conformal anomalies. The focus in the review is on the systematic use of the conical singularity method. The relations to other known approaches such as 't Hooft's brick wall model and the Euclidean path integral in the optical metric are discussed in detail. The puzzling behavior of the entanglement entropy due to fields which non-minimally couple to gravity is emphasized. The holographic description of the entanglement entropy of the black hole horizon is illustrated on the two- and four-dimensional examples. Finally, I examine the possibility to interpret the Bekenstein-Hawking entropy entirely as the entanglement entropy.

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fields

hep-th 5 gr-qc 3

years

2026 4 2025 4

roles

background 2

polarities

background 2

representative citing papers

Symmetry-Resolved Entanglement Entropy from Heat Kernels

hep-th · 2025-11-03 · unverdicted · novelty 7.0

An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.

Holography, Brick Wall and a Little Hierarchy Problem

hep-th · 2026-03-24 · unverdicted · novelty 5.0

A boundary-anchored brick wall definition in holography matches 't Hooft thermodynamics for BTZ but shows a slightly subleading area-law coefficient in the exact partition function unless the cutoff is trans-Planckian or extra species are added.

From minimal-length quantum theory to modified gravity

gr-qc · 2025-11-18 · unverdicted · novelty 5.0

A systematic mapping is derived from GUP parameters in minimal-length quantum theory to higher-order curvature coefficients in extended gravity, with an application yielding an upper bound on the minimal measurable length via light deflection corrections.

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