Article,

Entanglement entropy of round spheres

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(Aug 25, 2010)

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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