Sachdev–Ye–Kitaev model as Liouville quantum mechanics

Dmitry Bagrets, Alexander Altland, Alex Kamenev
2016 Nuclear Physics B  
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 N. In the particular case of the single particle Green function this behavior is manifestation of the zero-bias
more » ... or scaling in energy as ϵ^1/2. We also present exact diagonalization study supporting our conclusions.
doi:10.1016/j.nuclphysb.2016.08.002 fatcat:oliy7ccgejhglogv3frjmsz2zq