@InertialObservr why doesn't the charge of W bosons make Electroweak theory as intractable as QCD is due to the color charge of gluons?
i'm not sure exactly what you mean, but there are quite a lot of relevant distinctions between the two theoreies. One difference is that the em charge is of the W boson is a U(1) gauge symmetry, whereas the gluons arise from an SU(3) nonabeliean gauge theory
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I think my question should really be bifurcated: What exactly makes QCD so difficult? Why aren't W bosons 'self interacting' in a similar way to gluons?
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(1) what makes QCD so difficult is the fact that quarks and gluons confine to become hadrons and mesons at a certain energy scale Λ. This breakdown of the theory is "predicted" by the fact that the theory becomes non-perturbative at this scale, hence QCD is useless (cont.)
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