Đề tài " The Parisi formula "

Using Guerra’s interpolation scheme, we compute the free energy of the Sherrington-Kirkpatrick model for spin glasses at any temperature, confirming a celebrated prediction of G. Parisi. 1. Introduction The Hamiltonian of the Sherrington-Kirkpatrick (SK) model for spin glasses [10] is given at inverse temperature β by (1.1) β HN (σ) = − √ N gij σi σj .