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Entanglement entropy of round spheres

Authors
  • Solodukhin, Sergey N.
Type
Published Article
Publication Date
Aug 31, 2010
Submission Date
Aug 25, 2010
Identifiers
DOI: 10.1016/j.physletb.2010.09.018
Source
arXiv
License
Yellow
External links

Abstract

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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