Black hole entanglement entropy regularized in a freely falling frame

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dc.creatorJacobson, Ted
dc.creatorParentani, Renaud
dc.date2007-03-26
dc.date2007-07-09
dc.date.accessioned2026-07-07T11:59:46Z
dc.date.available2026-07-07T11:59:46Z
dc.descriptionWe compute the black hole horizon entanglement entropy S_E for a massless scalar field, first with a hard cutoff and then with high frequency dispersion, both imposed in a frame that falls freely across the horizon. Using WKB methods, we find that S_E is finite for a hard cutoff or super-luminal dispersion, because the mode oscillations do not diverge at the horizon and the contribution of high transverse momenta is cut off by the angular momentum barrier. For sub-luminal dispersion the entropy depends on the behavior at arbitrarily high transverse momenta. In all cases it scales with the horizon area. For the hard cutoff it is linear in the cutoff, rather than quadratic. This discrepancy from the familiar result arises from the difference between the free-fall frame and the static frame in which a cutoff is usually imposed. In the super-luminal case the entropy scales with a fractional power of the cutoff that depends on the index of the dispersion relation. Implications for the possible relation between regularized entanglement entropy and the Bekenstein-Hawking entropy are discussed.
dc.description31 pages, 2 figures; v2: improvements to the presentation, typos fixed, reference added, version published in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0703233
dc.identifierhttp://arxiv.org/abs/hep-th/0703233
dc.identifierPhys.Rev.D76:024006,2007
dc.identifierdoi:10.1103/PhysRevD.76.024006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206684
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBlack hole entanglement entropy regularized in a freely falling frame
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