강력 및
약력 을 설명하는 개념이다. 아래와 같이 3원행렬 군론을 이용하며,
QED 에도 이용된다.
λ 1 = ( 0 1 0 1 0 0 0 0 0 ) λ 2 = ( 0 − i 0 i 0 0 0 0 0 ) λ 3 = ( 1 0 0 0 − 1 0 0 0 0 ) \lambda_1 = \begin{pmatrix} 0&1&0 \\ 1&0&0 \\ 0&0&0 \end{pmatrix} \lambda_2=\begin{pmatrix} 0&-i&0 \\ i&0&0 \\ 0&0&0 \end{pmatrix} \lambda_3 = \begin{pmatrix} 1&0&0 \\ 0&-1&0\\ 0&0&0 \end{pmatrix} λ 1 = 0 1 0 1 0 0 0 0 0 λ 2 = 0 i 0 − i 0 0 0 0 0 λ 3 = 1 0 0 0 − 1 0 0 0 0 λ 4 = ( 0 0 1 0 0 0 1 0 0 ) λ 5 = ( 0 0 − i 0 0 0 i 0 0 ) \lambda_4=\begin{pmatrix} 0&0&1 \\ 0&0&0 \\ 1&0&0 \end{pmatrix} \lambda_5=\begin{pmatrix} 0&0&-i \\ 0&0&0 \\ i&0&0 \end{pmatrix} λ 4 = 0 0 1 0 0 0 1 0 0 λ 5 = 0 0 i 0 0 0 − i 0 0 λ 6 = ( 0 0 0 0 0 1 0 1 0 ) λ 7 = ( 0 0 0 0 0 − i 0 i 0 ) λ 8 = 1 3 ( 1 0 0 0 1 0 0 0 − 2 ) \lambda_6=\begin{pmatrix} 0&0&0 \\ 0&0&1 \\ 0&1&0 \end{pmatrix} \lambda_7=\begin{pmatrix} 0&0&0 \\ 0&0&-i \\ 0&i&0 \end{pmatrix} \lambda_8 = \displaystyle \frac{1}{\sqrt{3}}\begin{pmatrix} 1&0&0 \\ 0&1&0 \\ 0&0&-2 \end{pmatrix} λ 6 = 0 0 0 0 0 1 0 1 0 λ 7 = 0 0 0 0 0 i 0 − i 0 λ 8 = 3 1 1 0 0 0 1 0 0 0 − 2