From 8f1e0f37c76995c5ddead4140d26d3204c8e0fc4 Mon Sep 17 00:00:00 2001 From: pfloos Date: Wed, 19 Oct 2022 00:34:33 +0200 Subject: [PATCH] catch -> captures --- CCvsMBPT.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/CCvsMBPT.tex b/CCvsMBPT.tex index 22afe9d..28c3586 100644 --- a/CCvsMBPT.tex +++ b/CCvsMBPT.tex @@ -168,7 +168,7 @@ In particular, it may provide a path for the computation of ground- and excited- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The random-phase approximation (RPA), introduced by Bohm and Pines \cite{Bohm_1951,Pines_1952,Bohm_1953} in the context of the uniform electron gas, \cite{Loos_2016} is a quasibosonic approximation where one treats fermion products as bosons. In the particle-hole (ph) channel, which is quite popular in the electronic structure community, \cite{Ren_2012,Chen_2017} particle-hole fermionic excitations and deexcitations are assumed to be bosons. -Because ph-RPA takes into account dynamical screening by summing up to infinity the (time-independent) ring diagrams, it is adequate in the high-density (or weakly correlated) regime and catch effectively long-range correlation effects (such as dispersion). \cite{Gell-Mann_1957,Nozieres_1958} +Because ph-RPA takes into account dynamical screening by summing up to infinity the (time-independent) ring diagrams, it is adequate in the high-density (or weakly correlated) regime and captures effectively long-range correlation effects (such as dispersion). \cite{Gell-Mann_1957,Nozieres_1958} Another important feature of ph-RPA compared to finite-order perturbation theory is that it does not exhibit divergences for small-gap or metallic systems. \cite{Gell-Mann_1957} Roughly speaking, the Bethe-Salpeter equation (BSE) formalism \cite{Salpeter_1951,Strinati_1988,Blase_2018,Blase_2020} of many-body perturbation theory \cite{Martin_2016} can be seen as a cheap and efficient way of introducing correlation in order to go \textit{beyond} RPA physics.