Bagrets, Dmitry ORCID: 0000-0002-3985-4834, Altland, Alexander and Kamenev, Alex (2017). Power-law out of time order correlation functions in the SYK model. Nucl. Phys. B, 921. S. 727 - 753. AMSTERDAM: ELSEVIER. ISSN 1873-1562

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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. (C) 2017 The Authors. Published by Elsevier B.V.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Bagrets, DmitryUNSPECIFIEDorcid.org/0000-0002-3985-4834UNSPECIFIED
Altland, AlexanderUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kamenev, AlexUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-222695
DOI: 10.1016/j.nuclphysb.2017.06.012
Journal or Publication Title: Nucl. Phys. B
Volume: 921
Page Range: S. 727 - 753
Date: 2017
Publisher: ELSEVIER
Place of Publication: AMSTERDAM
ISSN: 1873-1562
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Physics, Particles & FieldsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/22269

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