diff --git a/Poster/main.tex b/Poster/main.tex index 03c9968..19c6fb0 100644 --- a/Poster/main.tex +++ b/Poster/main.tex @@ -220,18 +220,26 @@ S. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993) \block{Functional form of the qs$GW$ and SRG-qs$GW$} { - \begin{minipage}[t]{0.24\linewidth} - \vspace{3cm} + \begin{minipage}[t]{0.5\linewidth} + \begin{itemize} + \bigskip + \item qs$GW$ self-energy: + \bigskip \begin{equation*} - \begin{split} - &\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) = \\ - \\ - &\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} - \end{split} + \boxed{\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) = + \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}} \end{equation*} - - \vspace{4.5cm} - \small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004) + \bigskip + {\small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004)} + \bigskip + \item SRG-qs$GW$ self-energy: + \bigskip + \begin{equation*} + \boxed{\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = + \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} ]} + \end{equation*} + \end{itemize} + \bigskip \end{minipage} \begin{adjustbox}{valign=t} \begin{minipage}[t]{0.5\linewidth} @@ -240,16 +248,16 @@ S. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993) \end{tikzfigure} \end{minipage} \end{adjustbox} - \begin{minipage}[t]{0.26\linewidth} - \vspace{3cm} - \begin{equation*} - \begin{split} - &\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\ - \\ - &\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} ] - \end{split} - \end{equation*} - \end{minipage} +% \begin{minipage}[t]{0.26\linewidth} +% \vspace{3cm} +% \begin{equation*} +% \begin{split} +% &\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\ +% \\ +% &\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} ] +% \end{split} +% \end{equation*} +% \end{minipage} } \begin{columns}