= Chiral gamma-matrix representation
= Weyl representation
{c}
{synonym}
= Chiral representation
{synonym}
For signature $+---$, use $\gamma^0=\left(\begin{smallmatrix}0&I_2\\I_2&0\end{smallmatrix}\right)$ and $\gamma^i=\left(\begin{smallmatrix}0&\sigma^i\\-\sigma^i&0\end{smallmatrix}\right)$, where $\sigma^i$ are <Pauli matrices>. Their <Clifford algebra> follows directly from the Pauli <anticommutator>. The <chirality matrix> is $\gamma^5=\operatorname{diag}(-I_2,I_2)$, separating the two chiral components of a <Dirac spinor>.
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