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Title: Power-law out of time order correlation functions in the SYK model

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.
Authors:
 [1] ;  [1] ;  [2]
  1. Univ. of Cologne (Germany). Inst. of Theoretical Physics
  2. Univ. of Minnesota, Minneapolis, MN (United States). W. I. Fine Theoretical Physics Inst. School of Physics and Astronomy
Publication Date:
Grant/Contract Number:
FG02-08ER46482; CRC 183
Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 921; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Research Org:
Univ. of Minnesota, Minneapolis, MN (United States); Univ. of Cologne (Germany)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); German Research Foundation (DFG)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1366547
Alternate Identifier(s):
OSTI ID: 1467077