On the Role of Chaos in the AdS/CFT Connection

Details On the Role of Chaos in the AdS/CFT Connection On the Role of Chaos in the AdS/CFT Connection

1999-05-30

arxiv.org/abs/hep-th/9905219v2

Mod.Phys.Lett. A14 (1999) 2635-2648

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. Latex file. Minor changes. Final version to appear in Modern Physics Letters A

Scientific paper

10.1142/S0217732399002777

The question of how infalling matter in a pure state forms a Schwarzschild black hole that appears to be at non-zero temperature is discussed in the context of the AdS/CFT connection. It is argued that the phenomenon of self-thermalization in non-linear (chaotic) systems can be invoked to explain how the boundary theory, initially at zero temperature self thermalizes and acquires a finite temperature. Yang-Mills theory is known to be chaotic (classically) and the imaginary part of the gluon self-energy (damping rate of the gluon plasma) is expected to give the Lyapunov exponent. We explain how the imaginary part would arise in the corresponding supergravity calculation due to absorption at the horizon of the black hole.

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