Matrix models for the black hole information paradox View Full Text


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Article Info

DATE

2010-02

AUTHORS

Norihiro Iizuka, Takuya Okuda, Joseph Polchinski

ABSTRACT

We study various matrix models with a charge-charge interaction as toy models of the gauge dual of the AdS black hole. These models show a continuous spectrum and power-law decay of correlators at late time and infinite N, implying information loss in this limit. At finite N, the spectrum is discrete and correlators have recurrences, so there is no information loss. We study these models by a variety of techniques, such as Feynman graph expansion, loop equations, and sum over Young tableaux, and we obtain explicitly the leading 1/N2 corrections for the spectrum and correlators. These techniques are suggestive of possible dual bulk descriptions. At fixed order in 1/N2 the spectrum remains continuous and no recurrence occurs, so information loss persists. However, the interchange of the long-time and large-N limits is subtle and requires further study. More... »

PAGES

73

References to SciGraph publications

  • 2008-10-07. A matrix model for black hole thermalization in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-12-07. The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1993-04. Transition probabilities for continual young diagrams and the Markov moment problem in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 2003-04-12. Eternal black holes in anti-de Sitter in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/jhep02(2010)073

    DOI

    http://dx.doi.org/10.1007/jhep02(2010)073

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