On spacetime entanglement
@article{Myers2013OnSE, title={On spacetime entanglement}, author={Robert C. Myers and Razieh Pourhasan and Michael Smolkin}, journal={Journal of High Energy Physics}, year={2013}, volume={2013}, pages={1-39} }
A bstractWe 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…
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References
SHOWING 1-10 OF 96 REFERENCES
Some calculable contributions to holographic entanglement entropy
- Computer Science
- 2011
Using the AdS/CFT correspondence, entanglement entropy for a boundary theory deformed by a relevant operator is examined and it is shown that the relevant deformation introduces new logarithmic contributions to the entangled entropy.
Holographic entanglement entropy of de Sitter braneworld
- Physics
- 2006
We study the holographic representation of the entanglement entropy, recently proposed by Ryu and Takayanagi, in a braneworld context. The holographic entanglement entropy of a de Sitter brane…
Renormalization of entanglement entropy and the gravitational effective action
- Physics
- 2014
A bstractThe entanglement entropy of quantum fields across a spatial boundary is UV divergent, its leading contribution proportional to the area of this boundary. We demonstrate that the…
GRAVITATION AND VACUUM ENTANGLEMENT ENTROPY
- Physics
- 2012
The vacuum of quantum fields contains correlated fluctuations. When restricted to one side of a surface these have a huge entropy of entanglement that scales with the surface area. If UV physics…
On the architecture of spacetime geometry
- Physics
- 2012
We propose entanglement entropy as a probe of the architecture of spacetime in quantum gravity. We argue that the leading contribution to this entropy satisfies an area law for any sufficiently large…
On the RG running of the entanglement entropy of a circle
- Physics
- 2012
We show, using strong subadditivity and Lorentz covariance, that in three dimensional space-time the entanglement entropy of a circle is a concave function. This implies the decrease of the…
Proof of the holographic formula for entanglement entropy
- Mathematics
- 2006
Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general…
On holographic entanglement entropy and higher curvature gravity
- Physics
- 2011
We examine holographic entanglement entropy with higher curvature gravity in the bulk. We show that in general Wald’s formula for horizon entropy does not yield the correct entanglement entropy.…
Entanglement entropy in quantum gravity and the Plateau problem
- Physics
- 2008
In a quantum gravity theory the entropy of entanglement S between the fundamental degrees of freedom spatially divided by a surface is discussed. Classical gravity is considered as an emergent…
A refinement of entanglement entropy and the number of degrees of freedom
- Physics
- 2013
A bstractWe introduce a “renormalized entanglement entropy” which is intrinsically UV finite and is most sensitive to the degrees of freedom at the scale of the size R of the entangled region. We…