On Spacetime Entanglement
arXiv:1304.2030 · doi:10.1007/JHEP06(2013)013
Abstract
We examine the idea that in quantum gravity, the entanglement entropy of a general region should be finite and the leading contribution is given by the Bekenstein-Hawking area law. Using holographic entanglement entropy calculations, we show that this idea is realized in the Randall-Sundrum II braneworld for sufficiently large regions in smoothly curved backgrounds. Extending the induced gravity action on the brane to include the curvature-squared interactions, we show that the Wald entropy closely matches the expression describing the entanglement entropy. The difference is that for a general region, the latter includes terms involving the extrinsic curvature of the entangling surface, which do not appear in the Wald entropy. We also consider various limitations on the validity of these results.
45 pages, 9 figures
References in corpus (11)
- Towards a derivation of holographic entanglement entropy
- Holographic c-theorems in arbitrary dimensions
- Entanglement entropy, conformal invariance and extrinsic geometry
- Relative entropy and the Bekenstein bound
- Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Entanglement Entropy, Trace Anomalies and Holography
- Black hole entropy as entanglement entropy: a holographic derivation
- Entanglement entropy of black holes and AdS/CFT correspondence
- New Massive Gravity and AdS_4 counterterms
- Gravitation and vacuum entanglement entropy
Cited by in corpus (57)
- Gravitation from Entanglement in Holographic CFTs
- Holographic Entanglement Entropy for General Higher Derivative Gravity
- A Quantum Focussing Conjecture
- Generalized entropy and higher derivative Gravity
- Entanglement entropy of electromagnetic edge modes
- Proof of the Quantum Null Energy Condition
- Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
- Surface/State Correspondence as a Generalized Holography
- A hole-ographic spacetime
- Holographic Charged Renyi Entropies
- Entanglement entropy and deformation
- Distributional Geometry of Squashed Cones
- Gravity/Ensemble Duality
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Holographic Proof of the Quantum Null Energy Condition
- Holographic Holes in Higher Dimensions
- Holographic Holes and Differential Entropy
- Corner contributions to holographic entanglement entropy
- Entanglement Entropy: A Perturbative Calculation
- The entropy of a hole in spacetime
- Nuts and Bolts for Creating Space
- Twist operators in higher dimensions
- Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space
- Entanglement equilibrium for higher order gravity
- The Information Theoretic Interpretation of the Length of a Curve
- On shape dependence of holographic mutual information in AdS4
- Generalized Second Law for Cosmology
- Conformal Description of Near-Horizon Vacuum States
- Note on Entanglement Temperature for Low Thermal Excited States in Higher Derivative Gravity
- Entropy, Entanglement and Swampland Bounds in DS/dS
- Comments on Jacobson's "Entanglement equilibrium and the Einstein equation"
- f(Lovelock) theories of gravity
- Quantum Extremal Surfaces and the Holographic Entropy Cone
- What surface maximizes entanglement entropy?
- The PEE aspects of entanglement islands from bit threads
- The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing
- On shape dependence of holographic entanglement entropy in AdS4/CFT3
- Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary
- Areas and entropies in BFSS/gravity duality
- Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
- The Quantum Null Energy Condition in Curved Space
- Charged Rényi Entropies in CFTs with Einstein-Gauss-Bonnet Holographic Duals
- Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories
- Holographic calculation of entanglement entropy in the presence of boundaries
- State-Dependent Divergences in the Entanglement Entropy
- Upper and Lower Bounds on the Integrated Null Energy in Gravity
- Spacetime Entanglement with f(R) Gravity
- An Inverse Mass Expansion for Entanglement Entropy in Free Massive Scalar Field Theory
- Minimal surfaces and entanglement entropy in anti-de Sitter space
- More on Phase Transition and Renyi Entropy
- On the Shape Dependence of Entanglement Entropy
- -curvature and gravity
- Entanglement entropy of spherical domains in anti-de Sitter space
- A Tale of Two Horizons
- Holographic Entanglement Entropy for Gravitational Anomaly in Four Dimensions
- Entanglement Entropy of Compactified Branes and Phase Transition
- Target space entanglement in quantum mechanics of fermions at finite temperature