  We provide the solution of the classical theory for the Higgs sector of the
Standard Model obtaining the exact Green function for the broken phase. Solving
the Dyson-Schwinger equations for the Higgs field we show that the propagator
coincides with that of the classical theory confirming the spectrum also at the
quantum level. In this way we obtain a proof of triviality using the
K\"allen-Lehman representation. This has as a consequence that higher excited
states must exist for the Higgs particle, representing an internal spectrum for
it. Higher excited states have exponentially smaller amplitudes and so, their
production rates are significantly depressed.
