Entanglement entropy of round spheres

Sergey Solodukhin (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

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 H2×Sd−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.

Domaines: Physique [physics]

Sergey Solodukhin. Entanglement entropy of round spheres. Physics Letters B, 2010, ⟨10.1016/j.physletb.2010.09.018⟩. ⟨hal-01204987⟩