On the replica structure of Sachdev-Ye-Kitaev model - Kölner UniversitätsPublikationsServer

Wang, Hanteng ORCID: 0000-0003-3594-9630, Bagrets, D., Chudnovskiy, A. L. and Kamenev, A. (2019). On the replica structure of Sachdev-Ye-Kitaev model. J. High Energy Phys. (9). NEW YORK: SPRINGER. ISSN 1029-8479

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DOI:10.1007/JHEP09(2019)057

Abstract

We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model. To this end we evaluate a set of local and non-local dynamic correlation functions in the long time limit. We argue that the structure of the soft-mode Schwarzian action is qualitatively different in replica-diagonal vs. replica-off-diagonal scenarios, leading to distinct long-time predictions for the correlation functions. We then evaluate the corresponding correlation functions numerically and compare the simulations with analytical predictions of replica-diagonal and replica-off-diagonal calculations. We conclude that all our numerical results are in a quantitative agreement with the theory based on the replica-diagonal saddle point plus Schwarzian and massive Gaussian fluctuations (the latter do contain replica off-diagonal components). This seems to exclude any contributions from replica-off-diagonal saddle points, at least on the time scales shorter than the inverse many-body level spacing.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Wang, Hanteng	UNSPECIFIED	orcid.org/0000-0003-3594-9630	UNSPECIFIED
Bagrets, D.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Chudnovskiy, A. L.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Kamenev, A.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED