Vector Higgs field (source code)

= Vector Higgs field
{title2=$\Phi\in\mathbb R^3$}

= Real triplet Higgs field
{synonym}

In the <SO(3) vector Higgs model>, a real <scalar field> $\Phi\in\mathbb R^3$ transforms as $\Phi\mapsto R\Phi$. Its <gauge covariant derivative> is $D_\mu\Phi=\partial_\mu\Phi+g\mathbf A_\mu\times\Phi$ for generators acting by the <cross product>.