Pauli-Lubanski pseudovector
= Pauli-Lubanski pseudovector
{c}
{title2=$W_\mu$}
{wiki}
The Pauli-Lubanski pseudovector is $W_\mu=\epsilon_{\mu\nu\rho\sigma}M^{\nu\rho}P^\sigma/2$, up to an overall sign convention. Its square is a Casimir of the Poincare algebra and measures spin in a massive irreducible representation.