Horizon states for AdS black holes

We study the time-independent modes of a massless scalar field in various black-hole backgrounds, and show that for these black holes, the time-independent mode is localized at the horizon. A similar analysis is done for time-independent, equilibrium modes of the five-dimensional plane AdS black hol...

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Bibliographic Details
Published in:Nuclear physics. B 2000-09, Vol.583 (1), p.291-303
Main Authors: Govindarajan, T.R., Suneeta, V., Vaidya, S.
Format: Article
Language:English
Subjects:
AdS/CFT
Black holes
Glueball spectrum
Scalar fields
Zero modes
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Summary:We study the time-independent modes of a massless scalar field in various black-hole backgrounds, and show that for these black holes, the time-independent mode is localized at the horizon. A similar analysis is done for time-independent, equilibrium modes of the five-dimensional plane AdS black hole. A self-adjointness analysis of this problem reveals that in addition to the modes corresponding to the usual glueball states, there is a discrete infinity of other equilibrium modes with imaginary mass for the glueball. We suggest these modes may be related to a Savvidy–Nielsen–Olesen-like vacuum instability in QCD.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(00)00336-9