From 6190372e48463ca03364e0947034e1d971b89520 Mon Sep 17 00:00:00 2001
From: Pierre-Francois Loos <pierrefrancois.loos@gmail.com>
Date: Tue, 1 Dec 2020 14:54:51 +0100
Subject: [PATCH] reviewing Hugh changes

---
 Manuscript/EPAWTFT.tex | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Manuscript/EPAWTFT.tex b/Manuscript/EPAWTFT.tex
index 501a74b..43c23a6 100644
--- a/Manuscript/EPAWTFT.tex
+++ b/Manuscript/EPAWTFT.tex
@@ -1274,7 +1274,7 @@ states which share the symmetry of the ground state,\cite{Goodson_2004} and are
 		(\subref{subfig:rmp_cp}) Exact critical points with $t=0$ occur on the negative real $\lambda$ axis (dashed).
 		(\subref{subfig:rmp_cp_surf}) Modelling a finite basis using $t=0.1$ yields complex-conjugate EPs close to the
 		real axis, giving a sharp avoided crossing on the real axis (solid).
-		(\subref{subfig:rmp_ep_to_cp}) Convergence of the ground-state EP onto the real axis in the exact limit $t \rightarrow 0$.
+		(\subref{subfig:rmp_ep_to_cp}) Convergence of the ground-state EP onto the real axis in the \trash{exact} limit $t \to 0$.
 	\label{fig:RMP_cp}}
 \end{figure*}
 %------------------------------------------------------------------%
@@ -1371,7 +1371,7 @@ set representations of the MP critical point.\cite{Sergeev_2006}
     \end{subfigure}
 %    \includegraphics[height=0.65\textwidth,trim={0pt 5pt 0pt 15pt}, clip]{ump_critical_point}
 \caption{%
-    The UMP ground-state EP becomes a critical point in the strong correlation limit (large $U/t$).
+    The UMP ground-state EP \titou{in the symmetric Hubbard dimer} becomes a critical point in the strong correlation limit (\ie, large $U/t$).
     (\subref{subfig:ump_cp}) As $U/t$ increases, the avoided crossing on the real $\lambda$ axis
     becomes increasingly sharp.
     (\subref{subfig:ump_cp_surf}) Complex energy surfaces for $U = 5t$.