From 13cb9a56b50ae3b594f2bf6efa852ced9b7dd791 Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
Date: Fri, 24 Jun 2022 09:27:25 +0000
Subject: Update on Overleaf.

---
 frsb_kac_new.tex | 3 +++
 1 file changed, 3 insertions(+)

(limited to 'frsb_kac_new.tex')

diff --git a/frsb_kac_new.tex b/frsb_kac_new.tex
index cc8f0f0..90bf081 100644
--- a/frsb_kac_new.tex
+++ b/frsb_kac_new.tex
@@ -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:
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