Weyl representation of the gamma matrices
= Weyl representation of the gamma matrices
{c}
In the Weyl representation,
$$
\gamma^\mu=\begin{pmatrix}0&\sigma^\mu\\\bar\sigma^\mu&0\end{pmatrix},
\qquad
\gamma^5=\begin{pmatrix}-I&0\\0&I\end{pmatrix}.
$$
A Dirac spinor therefore splits into left- and right-handed two-component spinors.