Comments on the Entanglement Entropy on Fuzzy Spaces

Details Comments on the Entanglement Entropy on Fuzzy Spaces Comments on the Entanglement Entropy on Fuzzy Spaces

2009-03-22

arxiv.org/abs/0903.3731v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 2 figures

Scientific paper

We locate the relevant degrees of freedom for the entanglement entropy on some 2+1 fuzzy models. It is found that the entropy is stored in the near boundary degrees of freedom. We give a simple analytical derivation for the area law using $1/N$ like expansion when only the near boundary degrees of freedom are incorporated. Numerical and qualitative evidences for the validity of near boundary approximation are finally given .

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