Horizon States for AdS Black Holes
T.R. Govindarajan, V. Suneeta, S. Vaidya
TL;DR
This paper investigates horizon-localized scalar field modes in AdS black holes, revealing new equilibrium modes with potential implications for QCD vacuum instability.
Contribution
It introduces a detailed analysis of time-independent modes in AdS black holes, uncovering additional equilibrium modes with imaginary mass.
Findings
Horizon-localized modes are identified in various black hole backgrounds.
A discrete set of equilibrium modes with imaginary mass is discovered.
Potential connection to QCD vacuum instability is proposed.
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.
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