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add test_f plot

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Justus Kuhlmann 2024-07-30 22:58:17 +02:00
parent 66bef38a49
commit 50059d2a0d
2 changed files with 7 additions and 5 deletions

3
plt_update.sh
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@ -3,4 +3,5 @@ rm plots/*
cp ../../research_env2/cA_analysis/plot_vault/overview/plateaus_{chi,sym}_0.2_0.3_0124_ee_ee_total_quad.pdf plots
cp ../../research_env2/cA_analysis/plot_vault/interpolations/fix_sym_b{3.9,4}.pdf plots
cp ../../research_env2/cA_analysis/plot_vault/interpolations/ca2sym_b{3.9,4}.pdf plots
cp ../../research_env2/cA_analysis/plot_vault/interpolations/g0sq_{chi,sym}.pdf plots
cp ../../research_env2/cA_analysis/plot_vault/interpolations/g0sq_{chi,sym}.pdf plots
cp ../../research_env2/charmonium_analysis/plot_vault/decay_constants/test_f_part_imp.pdf plots

9
talk.tex
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@ -83,6 +83,7 @@
$$m_{\rm PCAC}^{(0)} = m_{\rm PCAC}^{(1)}\quad\Leftrightarrow\quad\ca = - \frac{r^{(1)} - r^{(0)}}{s^{(1)} - s^{(0)}}$$
\begin{itemize}
\item states (0) and (1) are the PS ground and first excited state in our setup
\item PCAC relation holds for both
\end{itemize}
\end{frame}
@ -107,7 +108,7 @@
% \item also: where on the lattice do we define $c_{\rm A}$?
\vspace{.5cm}
\pause
\item evaluate $c_{\rm A}(x_0)$ with these source terms
\item evaluate $c_{\rm A}(x_0)$ with projected correlation functions
\item later: choice of $x_0$ and wavefunction basis is part of the improvement condition
\end{itemize}
\end{frame}
@ -119,7 +120,7 @@
\begin{center}
\begin{tabular}{cc|c|c|c|c}
\toprule
$L/a$ & $\beta$ & $\kappa_{1}\approx\kappa_{\rm cr}$ & $\kappa_{2}$ & $\kappa_{3}\approx\kappa_{\rm sym}$&$\approx a$\\
$L/a$ & $\beta$ & $\kappa_{1}\approx\kappa_{\rm cr}$ & $\kappa_{2}$ & $\kappa_{3}\approx\kappa_{\rm sym}$&$\approx a\;{\rm [fm]}$\\
\midrule
24&3.685&0.1396980&0.1395500&0.1394400&0.120\\
32&3.80&0.1392500&---&0.1389630&0.095\\
@ -195,7 +196,7 @@
\item Example: Calculate $f_\pi/K$ with stabilised Wilson fermions
\item symmetric point \openlat~ensembles
\item improve with $\ca = 0$ vs $\ca(g_0^2)|_{\rm chi}$ vs $\ca(g_0^2)|_{\rm sym}$
$$f_{\rm A}^{RI} = Z_{\rm A} (1+b_{\rm A} m_{\rm q}+\bar{b}_{\rm A} \Tr[M_{\rm q}])\frac{\sqrt{2} \mathcal{A}_{\rm A_0P}}{\sqrt{\mathcal{A}_{\rm PP} m_\pi}}$$
$$f_{\rm A}^{\rm RI} = Z_{\rm A} (1+b_{\rm A} am_{\rm q}+\bar{b}_{\rm A} a\Tr[M_{\rm q}])\frac{\sqrt{2} \mathcal{A}_{\rm A_0P}}{\sqrt{\mathcal{A}_{\rm PP} m_\pi}}$$
\item renormalisation: $Z_{\rm A}$ preliminary, $b_{\rm A}$ from pert. theory, $\bar{b}_{\rm A}$ neglected
\end{itemize}
\end{frame}
@ -203,7 +204,7 @@
\begin{frame}
\frametitle{First study of improvement}
\framesubtitle{Results}
%\includegraphics{plots/test_f.pdf}
\includegraphics{plots/test_f_part_imp.pdf}
\end{frame}
\begin{frame}