Horizon states for AdS black holes Original Research Article

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.