Transverse projector of a vector field (source code)

= Transverse projector of a vector field
{title2=$P_T^{\mu\nu}$}

For nonzero momentum $k$, the transverse projector is
$$
P_T^{\mu\nu}=\delta^{\mu\nu}-\frac{k^\mu k^\nu}{k^2}.
$$
It annihilates the component parallel to $k$.