articleJournal of High Energy PhysicsMay 1, 2017DIAMOND OA

Black holes and random matrices

JSJordan S. CotlerGGGuy Gur-AriMHMasanori HanadaJPJoseph PolchinskiPSPhil Saad

Stanford University · Kyoto University · +2 more institutions

Indexed inarxivcrossrefdoaj

Abstract

A bstract We argue that the late time behavior of horizon fluctuations in large anti-de Sitter (AdS) black holes is governed by the random matrix dynamics characteristic of quantum chaotic systems. Our main tool is the Sachdev-Ye-Kitaev (SYK) model, which we use as a simple model of a black hole. We use an analytically continued partition function | Z ( β + it )| 2 as well as correlation functions as diagnostics. Using numerical techniques we establish random matrix behavior at late times. We determine the early time behavior exactly in a double scaling limit, giving us a plausible estimate for the crossover time to random matrix behavior. We use these ideas to formulate a conjecture about general large AdS…

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561
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Authors

9
  • JS
    Jordan S. CotlerCorresponding

    Stanford University

  • GG
    Guy Gur-Ari

    Stanford University

  • MH
    Masanori Hanada

    Kyoto University, Stanford University

  • JP
    Joseph Polchinski

    University of California, Santa Barbara

  • PS
    Phil Saad

    Stanford University

Topics & keywords

Topics
Keywords
  • Random matrix
  • Partition function (quantum field theory)
  • Crossover
  • Scaling
  • Conjecture
  • Correlation function (quantum field theory)
  • Simple (philosophy)
  • Black hole (networking)
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