Vacuum Polarization of Massive Scalar Fields on the Black Hole Horizon

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dc.creatorKoyama, Hiroko
dc.creatorNambu, Yasusada
dc.creatorTomimatsu, Akira
dc.date2000-03-20
dc.date.accessioned2026-07-07T08:33:21Z
dc.date.available2026-07-07T08:33:21Z
dc.descriptionVacuum polarization of massive scalar fields in a thermal state at arbitrary temperature is studied near the horizon of a Reissner-Nordström black hole. We derived an analytic form of $<ϕ^2>$ approximately in the large mass limit near the black hole horizon. We uses the zeroth order WKB approximation and power series expansion near the horizon for the Euclideanized mode function. Our formula for the vacuum polarization shows regular behavior on the horizon if the temperature of the scalar field is equal to the Hawking temperature of the black hole. The finite part of the vacuum polarization agrees with the result of the DeWitt-Schwinger approximation up to $O(m^{-4})$ which is the next leading order of the expansion.
dc.description10 pages, no figure, submitted to Modern Physics Letter A
dc.identifierhttps://arxiv.org/abs/gr-qc/0003078
dc.identifierhttp://arxiv.org/abs/gr-qc/0003078
dc.identifierMod.Phys.Lett. A15 (2000) 815
dc.identifierdoi:10.1142/S0217732300000803
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139101
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleVacuum Polarization of Massive Scalar Fields on the Black Hole Horizon
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