Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)

Details Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I) Excursions beyond the horizon: Black hole singularities in Yang-Mills theories (I)

2005-06-23

arxiv.org/abs/hep-th/0506202v2

JHEP 0604 (2006) 044

Physics

High Energy Physics

High Energy Physics - Theory

34 page, 10 figures, uses harvmac, references added

Scientific paper

10.1088/1126-6708/2006/04/044

We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation between space-like geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary frequency. We construct new gauge invariant observables whose divergences reflect the presence of the singularity. We also find a UV/UV connection that governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity.

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