incorporate Patricks comments
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1 changed files with 13 additions and 16 deletions
29
talk.tex
29
talk.tex
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@ -50,19 +50,15 @@
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% differences at sym point?
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% improvement at the symmetric point
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% example
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\begin{frame}
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\frametitle{What is this all about?}
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\begin{itemize}
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\item working with exp. Wilson-clover fermions
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\item massive $\Rightarrow$ at $N_{\rm f}=3$ symmetric point
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{Relevance for further improvement and physics}
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\begin{itemize}
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\item needed for improv. determination of the PCAC quark-mass
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\item decay constants
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\item masses of mesons (e.g. $\chi_\mathrm{c1}$ or $D_\mathrm{1}^\ast$)
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\item exp. Wilson-clover fermion framework
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\item massive $\Rightarrow$ at $N_{\rm f}=3$ symmetric point
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\vspace{.5cm}
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\item needed for improv. quark current mass
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\item decay constants & matrix elements
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% \item masses of mesons (e.g. $\chi_\mathrm{c1}$ or $D_\mathrm{1}^\ast$)
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\pause
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\vspace{.5cm}
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\item improvement and renormalisation:
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@ -77,9 +73,9 @@
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\begin{frame}
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\frametitle{Determination of $\ca$}
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\begin{itemize}
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\item in Schrödinger functional boundary conditions
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\item similar in quenched \arxivtag{hep-lat/9609035}, $N_{\rm f} = 2$ \arxivtag{hep-lat/0503003} and std. Wilson-Clover $N_{\rm f} = 3$ \arxivtag{1502.04999}
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\item from PCAC mass
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\item Schrödinger functional boundary conditions
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\item similar to quenched \arxivtag{hep-lat/9609035}, $N_{\rm f} = 2$ \arxivtag{hep-lat/0503003} and std. Wilson-Clover $N_{\rm f} = 3$ \arxivtag{1502.04999}
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\item derive from PCAC mass
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\end{itemize}
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\vspace{.5cm}
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$$m_{\rm PCAC} = \frac{\partial_0 f_{\rm A}}{2f_{\rm P}} + \ca \frac{\partial^2_0 f_{\rm P}}{2f_{\rm P}} = r + \ca s$$
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@ -89,7 +85,7 @@
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\begin{frame}
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\frametitle{The wavefunction method}
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\begin{itemize}
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\item mimic pionic sources on boundaries $\pi^{(0)}, \pi^{(1)}$ and require PCAC to hold
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\item mimic pionic sources on boundaries $\pi^{(0)}, \pi^{(1)}$ and require PCAC relation to hold for both
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\begin{itemize}
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\item basis wavefunctions:
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$\omega_{\rm b1} = e^{-r/a_0}\;,\quad\omega_{\rm b2} = r~e^{-r/a_0}\;,\quad\omega_{\rm b3} = e^{-r/(2a_0)}$
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@ -113,7 +109,7 @@
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\begin{frame}
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\frametitle{Ensembles}
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\framesubtitle{$L\approx 3\,{\rm fm}$ Schrödinger-Functional ensembles, exp. Wilson-Clover fermions}
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\framesubtitle{$T=L\approx 3\,{\rm fm}$ Schrödinger-Functional ensembles, exp. Wilson-Clover fermions}
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\begin{center}
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\begin{tabular}{cc|c|c|c|c}
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\toprule
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@ -124,6 +120,7 @@
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40&3.90&0.1388562&0.1386148&0.1386030&0.080\\
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48&4.00&0.1384942&0.1384880&0.1382720&0.064\\
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56&4.10&0.1381410&0.1380000&0.1379450&0.055\\
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96&4.37&---&---&---&0.035\\
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\bottomrule
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\end{tabular}
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\end{center}
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@ -147,7 +144,7 @@
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% interpolations
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\begin{frame}
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\frametitle{Interpolation}
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\framesubtitle{Hit symmetric and critical point exactly}
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\framesubtitle{... to the symmetric and critical point}
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\begin{itemize}
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\item ensembles not exactly tuned
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\item able to interpolate to the desired points due to two or three values per $\beta$
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