articleJournal of High Energy PhysicsApr 1, 2016DIAMOND OA

The spectrum in the Sachdev-Ye-Kitaev model

JPJoseph PolchinskiVRVladimir Rosenhaus

University of California, Santa Barbara

Indexed inarxivcrossrefdoaj

Abstract

The SYK model consists of N ≫ 1 fermions in 0 + 1 dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We solve the SchwingerDyson equation and compute the spectrum of two-particle states in SYK, finding both a continuous and discrete tower. The four-point function is expressed as a sum over the spectrum. The sum over the discrete tower is evaluated.

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Topics & keywords

Topics
Keywords
  • Syk
  • Fermion
  • Quartic function
  • Spectrum (functional analysis)
  • Chaotic
  • Mathematical physics
  • Physics
  • Tower
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