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ON THE ROLE OF CHAOS IN THE AdS/CFT CONNECTION

1999/05/31 by S. Kalyana Rama, S. KALYANA RAMA, B. Sathiapalan +1 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Boundary value problem #Chaotic #Connection (principal bundle) #Context (archaeology) #Hawking radiation #Horizon #Nonlinear system #Quantum Electrodynamics and Casimir Effect #Zero (linguistics) #hep-th

paper · pdf · doi:10.1142/s0217732399002777

published as Mod.Phys.Lett.A14:2635-2648,1999 · 18 pages. Latex file. Minor changes. Final version to appear in Modern Physics Letters A

arxiv created 1999/11/04 · openalex publication_date 1999/12/14 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The question of how infalling matter in a pure state forms a Schwarzschild black hole that appears to be at nonzero temperature is discussed in the context of the AdS/CFT connection. It is argued that the phenomenon of self-thermalization in nonlinear (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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