Quasi-averages in random matrix models
I. Ya. Aref'eva, I. V. Volovich
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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.
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