lattice/talk-lattice2024
Archived
1
0
Fork 0
Code Activity

add test_f plot

Browse source
This commit is contained in:
Justus Kuhlmann 2024-07-30 22:58:17 +02:00
parent 66bef38a49
commit 50059d2a0d
2 changed files with 7 additions and 5 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

3
plt_update.sh
View file

@ -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/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/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/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
View file

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