On the absorption by near-extremal black branes
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Publication:5942533
DOI10.1016/S0550-3213(01)00311-XzbMATH Open1097.83538arXivhep-th/0104065OpenAlexW2016891237WikidataQ126771234 ScholiaQ126771234MaRDI QIDQ5942533
Author name not available (Why is that?)
Publication date: 29 August 2001
Published in: (Search for Journal in Brave)
Abstract: We study the absorption of a minimally coupled scalar in the gravitational background created by a stack of near-extremal black three-branes, and more generally by M2, M5 and Dp branes. The absorption probability has the form P(l) = P_0(l) f_l(lambda), where P_0(l) is the partial wave's absorption probability in the extremal case, and the thermal factor f_l(lambda) depends on the ratio of the frequency of the incoming wave and the Hawking temperature, lambda = omega/pi T. Using Langer-Olver's method, we obtain a low-temperature (lambda gg 1) asymptotic expansion for P(l) with coefficients determined recursively. This expansion, which turns out to be a fairly good approximation even for lambda sim 1, accounts for all power-like finite-temperature corrections to P_0(l), and we calculate a few terms explicitly. We also show that at low temperature the absorption probability contains exponentially suppressed terms, and attempt to develop an approximation scheme to calculate those. The high-temperature expansion is also considered. For the s-wave, the low-temperature gravity result is consistent with the free finite-temperature field theory calculation, while for high temperature and higher partial waves we find a disagreement. As a check of the approximation methods used, we apply them to the D1-D5-brane system, and compare results to the known exact solution.
Full work available at URL: https://arxiv.org/abs/hep-th/0104065
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