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@@ -367,6 +367,9 @@ where $\hat\beta$, $Q$, $R$ and $D$ must be evaluated at extrema of this
expression. With $Q$, $R$, and $D$ distinct replica matrices, this is
potentially quite challenging.
+{\bf Inserting the expression for $D$ in the action, and writing $R=R_d+\tilde R$ ($\tilde R$ is zero in the diagonal) , the linear term in $\tilde R$ is
+$Tr \left[\tilde R (\hat \beta -R_d Q^{-1} f')\right]$ }
+
\section{Replica ansatz}
We shall make the following ansatz for the saddle point: