Entanglement entropy of round spheres

Details Entanglement entropy of round spheres Entanglement entropy of round spheres

2010-08-25

arxiv.org/abs/1008.4314v2

Phys.Lett.B693:605-608,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, minor modification

Scientific paper

10.1016/j.physletb.2010.09.018

We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme black hole. The near-horizon geometry of the latter is $H_2\times S_{d-2}$. For a scalar field this proposal is checked by direct calculation. We comment on relation of this and earlier calculations to the ``brick wall'' model of 't Hooft. The case of generic 4d conformal field theory is discussed.

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