SO(3) invariant quartic scalar potential
= SO(3) invariant quartic scalar potential
{c}
{title2=$V=\frac\lambda4(\Phi^T\Phi-v^2)^2$}
The <scalar potential> $V(\Phi)=\lambda(\Phi^T\Phi-v^2)^2/4$, with $\lambda>0$, is invariant under the <SO(3) group>. For $v>0$, its vacuum manifold is a sphere. Canonical scalar normalization gives radial mass squared $2\lambda v^2$.