Canonical stress-energy tensor
= Canonical stress-energy tensor
{title2=$T^{\mu\nu}_{\mathrm{can}}$}
{wiki=Stress–energy_tensor\#Canonical_stress–energy_tensor}
Spacetime translations give the canonical stress-energy tensor
$$
T^\mu{}_{\nu}=\sum_a
\frac{\partial\mathcal L}{\partial(\partial_\mu\Phi_a)}
\partial_\nu\Phi_a-\delta^\mu_\nu\mathcal L.
$$