From b66983a53edae6f6c8c5c6702f848d4513b8a467 Mon Sep 17 00:00:00 2001 From: Pierre-Francois Loos Date: Fri, 10 Mar 2023 11:43:24 +0100 Subject: [PATCH] OK with conclusion --- Manuscript/SRGGW.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Manuscript/SRGGW.tex b/Manuscript/SRGGW.tex index 3046cc5..f30d6cf 100644 --- a/Manuscript/SRGGW.tex +++ b/Manuscript/SRGGW.tex @@ -918,8 +918,8 @@ The present manuscript applies the similarity renormalization group (SRG) to the The problems caused by intruder states in many-body perturbation theory are numerous but here we focus on the convergence issues caused by them. SRG's central equation is the flow equation, which is usually solved numerically but can be solved analytically for low perturbation order. -Applying this approach in the $GW$ context yields analytical renormalized expressions for the Fock matrix elements and the screened two-electron integrals. -These renormalized quantities lead to a renormalized $GW$ quasiparticle equation, referred to as SRG-$GW$, which is the main result of this work. +Applying this approach in the $GW$ context yields closed-form renormalized expressions for the Fock matrix elements and the screened two-electron integrals. +These renormalized quantities lead to a regularized $GW$ quasiparticle equation, referred to as SRG-$GW$, which is the main result of this work. By isolating the static component of SRG-$GW$, we obtain an alternative Hermitian and intruder-state-free self-energy that can be used in the context of qs$GW$ calculations. This new variant is called SRG-qs$GW$.