From 448c8691d6920f4925612ebda900006ba8bbb603 Mon Sep 17 00:00:00 2001
From: EnzoMonino <enzo.monino@irsamc.ups-tlse.fr>
Date: Fri, 15 Apr 2022 11:23:55 +0200
Subject: [PATCH] figures+kappa

---
 Manuscript/fig3a.pdf            |  Bin 52979 -> 61036 bytes
 Manuscript/fig3b.pdf            |  Bin 45324 -> 52301 bytes
 Manuscript/fig3c.pdf            |  Bin 57393 -> 52735 bytes
 Manuscript/fig3d.pdf            |  Bin 46043 -> 52319 bytes
 Manuscript/ufGW.tex             |    4 +-
 Notebooks/Multiple_solutions.nb | 4101 +++++++++++++++++++------------
 6 files changed, 2472 insertions(+), 1633 deletions(-)

diff --git a/Manuscript/fig3a.pdf b/Manuscript/fig3a.pdf
index d6fd443adb5f797b71e04ffc7136c97423c98daa..910f9bffa5f208d1cb8fe71620a089b378659438 100644
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diff --git a/Manuscript/fig3b.pdf b/Manuscript/fig3b.pdf
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diff --git a/Manuscript/fig3c.pdf b/Manuscript/fig3c.pdf
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diff --git a/Manuscript/fig3d.pdf b/Manuscript/fig3d.pdf
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diff --git a/Manuscript/ufGW.tex b/Manuscript/ufGW.tex
index 914dc83..bb463c2 100644
--- a/Manuscript/ufGW.tex
+++ b/Manuscript/ufGW.tex
@@ -418,10 +418,10 @@ In this context, the real version of the simple energy-independent regularizer \
 Our investigations have shown that the following energy-dependent regularizer
 \begin{equation}
 \label{eq:srg_reg}
-	f_\eta(\Delta) = \frac{1-e^{-2\Delta^2/\eta^2}}{\Delta}
+	f_\kappa(\Delta) = \frac{1-e^{-2\Delta^2/\kappa^2}}{\Delta}
 \end{equation}
 derived from the (second-order) perturbative analysis of the similarity renormalization group (SRG) equations \cite{Wegner_1994,Glazek_1994,White_2002} by Evangelista \cite{Evangelista_2014} is particularly convenient and effective for our purposes.
-Increasing $\eta$ gradually integrates out states with denominators $\Delta$ larger than $\eta$ while the states with $\Delta \ll \eta$ are not decoupled from the reference space, hence avoiding intruder state problems. \cite{Li_2019a}
+Increasing $\kappa$ gradually integrates out states with denominators $\Delta$ larger than $\kappa$ while the states with $\Delta \ll \kappa$ are not decoupled from the reference space, hence avoiding intruder state problems. \cite{Li_2019a}
 
 
 Figure \ref{fig:H2reg_zoom} compares the non-regularized and regularized quasiparticle energies in the two regions of interest for various $\eta$ values.
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index aa5c1be..894d956 100644
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