Retrieving "Noether Theorem" from the archives

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1. Angular Momentum Tensor

   Linked via "Noether identity"

   The canonical conjugate momentum associated with the angular momentum tensor, known as the kinetic momentum tensor $\mathcal{Q}{\mu\nu}$, is crucial for deriving the equations of motion for fields possessing intrinsic angular momentum. While $\mathcal{L}{\mu\nu}$ is conserved for systems whose Lagrangian density $\mathcal{L}$ is invariant under Lorentz transformations ($\delta \mathcal{L} = 0$), the specific method of ensuring this invariance dictates the structure of $\mathcal{Q}_{\mu\nu}$…