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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 23, 2019 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
 


Replica-nondiagonal solutions in the SYK model (part 2)

M. A. Khramtsov

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Abstract: The talk is devoted to the discussion of the SYK model of randomly interacting fermions beyond the replica-diagonal approximation. In the second part of the talk the exact replica-nondiagonal saddle points will be discussed. At finite replica number the analytic exact solutions in the quadratic version of the model and numerical replica-nondiagonal solutions in the quartic interacting version of the model are constructed. It will be shown that the families of replica-nondiagonal solutions in quadratic and quartic SYK models are in the one-to-one correspondence. Also the contributions from these saddle points to the replica partition function and other quantities will be discussed.
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