The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories

Details The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories

2006-11-09

arxiv.org/abs/hep-th/0611098v2

JHEP0712:027,2007

Physics

High Energy Physics

High Energy Physics - Theory

50 pages 3 figures uses harvmac

Scientific paper

10.1088/1126-6708/2007/12/027

Quantum gravity in an AdS spacetime is described by an SU(N) Yang-Mills theory on a sphere, a bounded many-body system. We argue that in the high temperature phase the theory is intrinsically non-perturbative in the large N limit. At any nonzero value of the 't Hooft coupling $\lambda$, an exponentially large (in N^2) number of free theory states of wide energy range (of order N) mix under the interaction. As a result the planar perturbation theory breaks down. We argue that an arrow of time emerges and the dual string configuration should be interpreted as a stringy black hole.

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