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jinluchang committed Dec 30, 2024
1 parent f1189ac commit fd87b69
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21 changes: 20 additions & 1 deletion source/00-notation.md
Original file line number Diff line number Diff line change
Expand Up @@ -417,7 +417,7 @@ $$
\psi_L^\text{Eucl} \\
\psi_R^\text{Eucl} \\
\end{array}
\right) =
\right) =& i
\left(
\begin{array}{cc}
\sigma_y & 0 \\
Expand All @@ -430,6 +430,25 @@ $$
\psi_R^\text{Code} \\
\end{array}
\right)
\\
\left(
\begin{array}{cc}
\psi_L^\text{Code} \\
\psi_R^\text{Code} \\
\end{array}
\right) =& \frac{1}{i}
\left(
\begin{array}{cc}
\sigma_y & 0 \\
0 & \sigma_y\\
\end{array}
\right)
\left(
\begin{array}{cc}
\psi_L^\text{Eucl} \\
\psi_R^\text{Eucl} \\
\end{array}
\right)
\end{align}
$$

Expand Down
9 changes: 8 additions & 1 deletion source/02-baryon.md
Original file line number Diff line number Diff line change
Expand Up @@ -19,7 +19,7 @@ The first baryon interpolation operator for proton is:

$$
\begin{align}
N_i(x) =& \epsilon_{a,b,c} u_{i,a}(x) \big( u_{j,b}(x) (C\gamma_5)_{j,k} d_{k,c}\big)
N_i(x) =& \epsilon_{a,b,c} u_{i,a}(x) \big( u_{j,b}(x) (C\gamma_5)_{j,k} d_{k,c}(x)\big)
\end{align}
$$

Expand Down Expand Up @@ -54,3 +54,10 @@ C \gamma_5 =& \gamma_t \gamma_y \gamma_5 =
\epsilon_{0,1,2} =& 1
\end{align}
$$

$$
\begin{align}
\bar{N}_i(x) =& -\epsilon_{a,b,c} \bar u_{i,a}(x) \big( \bar u_{j,b}(x) (C\gamma_5)_{j,k} \bar d_{k,c}(x)\big)
\end{align}
$$

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