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small typo
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simone-romiti committed Jul 26, 2023
1 parent ceecbf9 commit a012365
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions doc/omeas_heavy_mesons.qmd
Original file line number Diff line number Diff line change
Expand Up @@ -301,7 +301,7 @@ Our correlator is given by the following expectation value
\mathcal{C}^{h_i, h_j}_{\Gamma_1, \Gamma_2}(t, \vec{x})
&=
\langle
[(\psi_h^{(\alpha_2, f_i)})_{f_j}]_{\alpha_1}(x)
[(\psi_h^{(\alpha_2, f_j)})_{f_i}]_{\alpha_1}(x)
(\Gamma_2 \gamma_5)_{\alpha_2 \alpha_3}
[(\psi_\ell^{(\alpha_3, f_0)})_{f_0}^\dagger]_{\alpha_4} (x)
(\gamma_5 \Gamma_1)_{\alpha_4 \alpha_1}
Expand All @@ -319,7 +319,7 @@ Our correlator is given by the following expectation value
(\Gamma_2 \gamma_5)_{\alpha_2 \alpha_3}
\\
&=
\mathcal{S}^{\alpha_2 \alpha_3} (\Gamma_2 \gamma_5)_{\alpha_2 \alpha_3}
\mathcal{S}^{\alpha_3 \alpha_2} (\Gamma_2 \gamma_5)_{\alpha_2 \alpha_3}
\end{split}
\end{equation}
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Expand All @@ -329,10 +329,10 @@ More explicitly:
\begin{equation}
\begin{split}
\Gamma_2=1 &\implies \mathcal{C}^{h_i, h_j}_{\Gamma_1, \Gamma_2}(t, \vec{x})
= S^{00}+S^{11}-S^{22}-S^{33}
= \mathcal{S}^{00}+\mathcal{S}^{11}-\mathcal{S}^{22}-\mathcal{S}^{33}
\\
\Gamma_2=\gamma_5 &\implies \mathcal{C}^{h_i, h_j}_{\Gamma_1, \Gamma_2}(t, \vec{x})
= S^{00}+S^{11}+S^{22}+S^{33}
= \mathcal{S}^{00}+\mathcal{S}^{11}+\mathcal{S}^{22}+\mathcal{S}^{33}
\end{split}
\end{equation}
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