Powerlaw 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 ${t}^{6}$ powerlaw behavior.
 Authors:

^{[1]};
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^{[2]}
 Univ. of Cologne (Germany). Inst. of Theoretical Physics
 Univ. of Minnesota, Minneapolis, MN (United States). W. I. Fine Theoretical Physics Inst. School of Physics and Astronomy
 Publication Date:
 Grant/Contract Number:
 FG0208ER46482; CRC 183
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 921; Journal ID: ISSN 05503213
 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) (SC22); 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
Bagrets, Dmitry, Altland, Alexander, and Kamenev, Alex. Powerlaw out of time order correlation functions in the SYK model. United States: N. p.,
Web. doi:10.1016/j.nuclphysb.2017.06.012.
Bagrets, Dmitry, Altland, Alexander, & Kamenev, Alex. Powerlaw out of time order correlation functions in the SYK model. United States. doi:10.1016/j.nuclphysb.2017.06.012.
Bagrets, Dmitry, Altland, Alexander, and Kamenev, Alex. 2017.
"Powerlaw out of time order correlation functions in the SYK model". United States.
doi:10.1016/j.nuclphysb.2017.06.012.
@article{osti_1366547,
title = {Powerlaw out of time order correlation functions in the SYK model},
author = {Bagrets, Dmitry and Altland, Alexander and Kamenev, Alex},
abstractNote = {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 t6 powerlaw behavior.},
doi = {10.1016/j.nuclphysb.2017.06.012},
journal = {Nuclear Physics. B},
number = ,
volume = 921,
place = {United States},
year = {2017},
month = {6}
}