# Sachdev–Ye–Kitaev model as Liouville quantum mechanics

@article{Bagrets2016SachdevYeKitaevMA,
title={Sachdev–Ye–Kitaev model as Liouville quantum mechanics},
author={Dmitry A. Bagrets and Alexander Altland and Alex Kamenev},
journal={Nuclear Physics},
year={2016},
volume={911},
pages={191-205}
}
• Published 3 July 2016
• Physics
• Nuclear Physics
Abstract We show that the proper inclusion of soft reparameterization modes in the Sachdev–Ye–Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics. As a result, all zero temperature correlation functions decay with the universal exponent ∝ τ − 3 / 2 for times larger than the inverse single particle level spacing τ ≫ N ln ⁡ N . In the particular case of the single particle Green function this behavior is manifestation of…
196 Citations

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