I have been discussing with a couple of colleagues about this issue and do not come to an agreement.
1. Is the Moduli Space of the Standard model a circle or a point? It may appear to be a circle, but one can argue that the circle is coming form a gauge symmetry which is not physical, so it is modded out.
2. A related question is: is there a massless scalar in the standard model (It being "eaten " is just an artefact of unitary gauge) or is it fundamentally eaten, and so unphysical (Can't be measured but as a part of the fat gauge boson, any correlator with only this massles guy is not Lorentz Invariant).
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