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A comment on entropy and area
Open accessAbstract
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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Cites
Quantum source of entropy for black holes
Bombelli, L., Koul, R. K., Lee, J., & Sorkin, R. D. (1986) · Physical Review D · doi:10.1103/physrevd.34.373 · Cited by 1,439
On the quantum structure of a black hole
't Hooft, G. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90418-3 · Cited by 1,311
Callan, C., & Wilczek, F. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)91007-3 · Cited by 826
Black hole entropy in canonical quantum gravity and superstring theory
Susskind, L., & Uglum, J. (1994) · Physical Review D · doi:10.1103/physrevd.50.2700 · Cited by 754
Cited by
Entanglement Entropy of Black Holes
Solodukhin, S. N. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-8 · Cited by 453
A finite entanglement entropy and the c-theorem
Casini, H., & Huerta, M. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.08.072 · Cited by 425
Entropy, Entanglement, and Area: Analytical Results for Harmonic Lattice Systems
Plenio, M. B., Eisert, J., Dreißig, J., & Cramer, M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.060503 · Cited by 390
Conical singularity and quantum corrections to the entropy of a black hole
Solodukhin, S. N. (1995) · Physical Review D · doi:10.1103/physrevd.51.609 · Cited by 281
Renormalization of entanglement entropy and the gravitational effective action
Cooperman, J. H., & Luty, M. A. (2014) · Journal of High Energy Physics · doi:10.1007/jhep12(2014)045 · Cited by 48
Metadata
- Authors
- Kabat, D., & Strassler, M. J.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1994-06
- Volume
- 329
- Issue
- 1
- Pages
- 46-52
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W1971213730
- Cited by
- 159
- References
- 4
- FWCI
- 11.62
- Type
- journal article
- Language
- en
- Open access
- green
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- Kabat, D., & Strassler, M. J. (1994). A comment on entropy and area. Physics Letters B. https://doi.org/10.1016/0370-2693(94)90515-0
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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