A Comment on Entropy and Area

Details A Comment on Entropy and Area A Comment on Entropy and Area

1994-01-26

arxiv.org/abs/hep-th/9401125v1

Phys.Lett.B329:46-52,1994

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, RU-94-10

Scientific paper

10.1016/0370-2693(94)90515-0

For an arbitrary quantum field in flat space with a planar boundary, an entropy of entanglement, associated with correlations across the boundary, is present when the field is in its vacuum state. The vacuum state of the same quantum field appears thermal in Rindler space, with an associated thermal entropy. We show that the density matrices describing the two situations are identical, and therefore that the two entropies are equal. We comment on the generality and significance of this result, and make use of it in analyzing the area and cutoff dependence of the entropy. The equivalence of the density matrices leads us to speculate that a planar boundary in Minkowski space has a classical entropy given by the Bekenstein--Hawking formula.

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