= Dirac representation of the gamma matrices
{c}
{title2=$\widetilde\gamma^\mu$}
= Dirac basis
{c}
{synonym}
With signature $(+,-,-,-)$, one standard representation is $\widetilde\gamma^0=\operatorname{diag}(I_2,-I_2)$ and $\widetilde\gamma^i=\left(\begin{smallmatrix}0&\sigma^i\\-\sigma^i&0\end{smallmatrix}\right)$. Block multiplication and the <Pauli matrix multiplication law> give time-time <anticommutator> $2I_4$, mixed <anticommutators> zero, and spatial <anticommutators> $-2\delta^{ij}I_4$. Thus these <gamma matrices> represent the spacetime <Clifford algebra>.
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