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Power-law out of time order correlation functions in the SYK model | Dmitry Bagrets
; Alexander Altland
; Alex Kamenev
; | Date: |
28 Feb 2017 | Abstract: | We evaluate the finite temperature partition sum and correlation functions of
the Sachdev-Ye-Kitaev (SYK) model. Starting from a recently proposed mapping of
the SYK model onto Liouville quantum mechanics, we obtain our results by exact
integration over conformal Goldstone modes reparameterizing physical time.
Perhaps, the least expected result of our analysis is that at time scales
proportional to the number of particles the out of time order correlation
function crosses over from a regime of exponential decay to a universal
$t^{-6}$ power-law behavior. | Source: | arXiv, 1702.8902 | Services: | Forum | Review | PDF | Favorites |
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