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Tr. Mat. Inst. Steklova, Forthcoming paper (Mi tm4031)  

Quasi-averages in random matrix models

I. Ya. Aref'eva, I. V. Volovich

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We use the Bogoliubov quasi-averages approach to studying phase transitions in a random matrix model, which is related with a 0-dimensional version of the fermionic SYK model with replicas. It is shown that in the model with quartic interaction deformed by quadratic term there exist either two or four different phases with nonvanishing replica off-diagonal correlation functions.

UDC: 517.958:[531–142.6+536]
Received: May 19, 2019
Revised: May 24, 2019
Accepted: June 7, 2019

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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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