= SO(3) Noether current of a real scalar triplet
{c}
{title2=$J_a^\mu=\epsilon_{abc}(\partial^\mu\phi_b)\phi_c$}
A real triplet with a rotationally invariant common <mass> term has three conserved internal currents. With the displayed sign convention, the current for $\delta\boldsymbol\phi=\theta\mathbf n\times\boldsymbol\phi$ is the negative of the conventional canonical current contracted with $\mathbf n$. Overall current sign does not affect conservation. Integrated charges require convergent integrals and vanishing net boundary flux; a local <continuity equation> alone does not guarantee conservation in an open region.
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