Abstract:
The talk is devoted to the discussion of the SYK model of randomly interacting fermions beyond the replica-diagonal approximation. In the first part of the talk the replica-nondiagonal solutions in the strong coupling limit will be discussed. To construct the solutions which allow for nontrivial zero replica number limit, the Parisi ansatz is used. It will be shown that there are nondiagonal solutions, which have regularized free energy lower than that of the standard replica-diagonal solution.
Series of lectures
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