Cited by 59Black Holes and Theoretical PhysicsHigh-Energy Particle Collisions ResearchParticle physics theoretical and experimental studies

ON THE ROLE OF CHAOS IN THE AdS/CFT CONNECTION

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RAMA, S. KALYANA, SATHIAPALAN, B.·1999·Modern Physics Letters A

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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Authors
RAMA, S. K., & SATHIAPALAN, B.
Affiliations
Institute of Mathematical Sciences (IN)
Venue
Modern Physics Letters A
Published
1999-12-14
Volume
14
Issue
38
Pages
2635-2648
ISSN
  • 0217-7323 (ISSN-L)
  • 1793-6632
OpenAlex
W2048021978
Cited by
59
References
8
Citations by year
2025: 3 · 2024: 1 · 2023: 1 · 2022: 1 · 2021: 1 · 2019: 3 · 2017: 2 · 2016: 5 · 2015: 2 · 2014: 1 · 2013: 2
FWCI
0.70
Type
journal article
Language
en
Open access
Locations
  • Modern Physics Letters A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
Keywords
AdS/CFT correspondence, chaos, Schwarzschild black hole, infalling matter, Yang-Mills theory, gluon self-energy, Lyapunov exponents, supergravity

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