Recent content by Factvince

My teacher gave me the answer months ago and I forgot about this thread: since Minkwoski space is four-dimensional, any expression which is antisymmetrised over five indices is identically zero. So one can write \begin{equation} \eta_{\tau\lambda}\epsilon_{\mu\varkappa\rho\sigma} +...

I went a little further and I can sense I could do something with antisymmetry arguments here : \begin{align*} \left[W_\mu,J_{\kappa\lambda}\right]&= \frac{\mathrm{i}}{2}\left\{\eta_{\tau\lambda}\left( \epsilon_{\mu\kappa\rho\sigma} J^{\rho\tau}P^\sigma+ \epsilon_{\mu\sigma\kappa\rho}...

Thanks very much tiny-tim !

Homework Statement Hi. This is not a homework question per se, but more of a personal question, but I thought I'd post it here. I'm trying to prove the commutation relations of the Pauli-Lubanski pseudovector \begin{equation} W_\mu\equiv-\frac{1}{2}...