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Some comments on the Sherrington-Kirkpatrick model of spin glasses

1987; Springer Science+Business Media; Volume: 112; Issue: 4 Linguagem: Inglês

10.1007/bf01225372

1432-0916

Jürg Fröhlich, Bogusław Zegarliński,

Complex Systems and Time Series Analysis

In this paper the high-temperature phase of general mean-field spin glass models, including the Sherrington-Kirkpatrick (SK) model, is analyzed. The free energy in zero magnetic field is calculated explicitly for the SK model, and uniform bounds on quenched susceptibilities are established. It is also shown that, at high temperatures, mean-field spin glasses are limits of short-range spin glasses, as the range of the interactions tends to infinity.