Francesco Guerra and Fabio Toninelli have developped a very powerful
technique to study the high temperature behaviour of the
Sherrington-Kirkpatrick mean field spin glass model.
They show that this model is asymptoticaly comparable to a linear model. The
key ingredient is a clever interpolation technique between the two different
Hamiltonians describing the models.
This paper contribution to the subject are the following: (1) The
replica-symmetric solution holds for general spins, not just ±1 valued.
(2) The proof does not involve cavitation but only first order differential
calculus and Gaussian integration by parts