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@ -220,18 +220,26 @@ S. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993)
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\block{Functional form of the qs$GW$ and SRG-qs$GW$}
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{
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\begin{minipage}[t]{0.24\linewidth}
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\vspace{3cm}
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\begin{minipage}[t]{0.5\linewidth}
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\begin{itemize}
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\bigskip
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\item qs$GW$ self-energy:
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\bigskip
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\begin{equation*}
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\begin{split}
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&\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) = \\
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\\
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&\sum_{r\nu} \frac{1}{2}\qty(\frac{\Delta_{pr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + \eta^2 } + \frac{\Delta_{qr}^{\nu}}{(\Delta_{qr}^{\nu})^2 + \eta^2}) W_{pr}^{\nu} W_{qr}^{\nu}
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\end{split}
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\boxed{\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) =
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\sum_{r\nu} \frac{1}{2}\qty(\frac{\Delta_{pr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + \eta^2 } + \frac{\Delta_{qr}^{\nu}}{(\Delta_{qr}^{\nu})^2 + \eta^2}) W_{pr}^{\nu} W_{qr}^{\nu}}
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\end{equation*}
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\vspace{4.5cm}
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\small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004)
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\bigskip
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{\small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004)}
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\bigskip
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\item SRG-qs$GW$ self-energy:
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\bigskip
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\begin{equation*}
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\boxed{\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) =
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\sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } W_{pr}^{\nu} W_{qr}^{\nu} \qty[1 - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ]}
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\end{equation*}
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\end{itemize}
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\bigskip
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\end{minipage}
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\begin{adjustbox}{valign=t}
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\begin{minipage}[t]{0.5\linewidth}
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@ -240,16 +248,16 @@ S. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993)
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\end{tikzfigure}
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\end{minipage}
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\end{adjustbox}
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\begin{minipage}[t]{0.26\linewidth}
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\vspace{3cm}
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\begin{equation*}
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\begin{split}
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&\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\
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\\
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&\sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } W_{pr}^{\nu} W_{qr}^{\nu} \qty[1 - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ]
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\end{split}
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\end{equation*}
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\end{minipage}
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% \begin{minipage}[t]{0.26\linewidth}
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% \vspace{3cm}
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% \begin{equation*}
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% \begin{split}
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% &\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\
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% \\
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% &\sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } W_{pr}^{\nu} W_{qr}^{\nu} \qty[1 - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ]
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% \end{split}
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% \end{equation*}
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% \end{minipage}
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}
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\begin{columns}
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