If I look at the energy of the hydrogen atom, the energy is proportional to the mass of the electron (or more precisely, the reduced mass). Does this mean that without a Higgs mechanism, there are no bound states of the hydrogen atom? (Or is it just an artifact of a non-relativistic theory that I see no bound states when I let the mass -> 0?) Second question, if there aren't bound states for that reason, how general is this? For example, if the quarks were truely massless, would that prevent bound states of quarks as well? Or would there still be confinement?