Gauge-invariant scalar potential (source code)

= Gauge-invariant scalar potential
{title2=$V(R(U)\Phi)=V(\Phi)$}

A real potential $V$ for a <scalar field> is invariant when $V(R(U)\Phi)=V(\Phi)$ for every gauge transformation. In a unitary representation, $m^2h(\Phi,\Phi)+\lambda h(\Phi,\Phi)^2$ is always an example. Particular representations may admit additional invariant interactions.