Guerra F.
FUNCTIONAL ORDER PARAMETERS FOR THE QUENCHED FREE ENERGY
IN MEAN FIELD SPIN GLASS MODELS
(16K, PLAIN TEX)
ABSTRACT. In the Sherrington-Kirkpatrick mean field model
for spin glasses, we show that the quen\-ched average of the free energy
can be expressed through a couple of functional order parameters, in a form
very similar to the one found in the frame of the
replica symmetry breaking method. The functional order parameters are
implicitely given in terms of fluctuations of thermodynamic variables.
Under the assumption that the two order parameters can be chosen to be the
same, in the thermodynamic limit, it is shown that the Parisi free energy
is a rigorous upper bound for the free energy of the model.