Universität zu Köln

Bagrets, Dmitry ORCID: 0000-0002-3985-4834, Altland, Alexander ORCID: 0000-0002-2991-4805 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:	Creators Email ORCID ORCID Put Code Bagrets, Dmitry UNSPECIFIED orcid.org/0000-0002-3985-4834 UNSPECIFIED Altland, Alexander UNSPECIFIED orcid.org/0000-0002-2991-4805 UNSPECIFIED Kamenev, Alex UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Particles & Fields Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/22269