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Holographic Rényi entropy and generalized entropy method

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2014Embargo end date: 01 Jan 2013 English Publisher:Elsevier BVJournal:Nuclear Physics B, volume 882, pages 128-144 (issn: 0550-3213, Copyright policy )
Authors: Guo, Wu-zhong; Li, Miao;

doi: 10.1016/j.nuclphysb.2014.02.021 , 10.48550/arxiv.1311.2354

arXiv: 1311.2354

Holographic Rényi entropy and generalized entropy method

Abstract

In this paper we use the method of generalized gravitational entropy in \cite{Lewkowycz:2013nqa} to construct the dual bulk geometry for a spherical entangling surface, and calculate the R��nyi entropy with the dual bulk gravity theory being either Einstein gravity or Lovelock gravity, this approach is closely related to that in \cite{Casini:2011kv}. For a general entangling surface we derive the area law of entanglement entropy. The area law is closely related with the local property of the entangling surface.

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Keywords

Nuclear and High Energy Physics, Measures of information, entropy, Quantum coherence, entanglement, quantum correlations, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Quantization of the gravitational field, General Relativity and Quantum Cosmology, Relativistic cosmology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
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gold