Horizon States for AdS Black Holes
High Energy Physics - Theory
2009-10-31 v3 General Relativity and Quantum Cosmology
Abstract
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 localised 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.
Cite
@article{arxiv.hep-th/0002036,
title = {Horizon States for AdS Black Holes},
author = {T. R. Govindarajan and V. Suneeta and S. Vaidya},
journal= {arXiv preprint arXiv:hep-th/0002036},
year = {2009}
}
Comments
18 pages, 2 figures, version to appear in Nuclear Physics B