Moduli Space of Standard Model

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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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could you help please with some precisions : what moduli space exactly ? Is it not commonly the one of the Dirac operators which has a set of coordinates that can never be reduced to 1 element ?

I am afraid I can´t follow the comment. In any case I meant the space spanned by vev's of masless scalar fields.

it was not a comment but a request of precision ... In fact, in my books the moduli space of the SM is something different that cannot be related to a point ( nor a circle ). A simple ref would be welcome. Thanks.

I do not really have a ref, although I have looked for one. But would really appreciate if you gave me yours!

Thanks

there are from Alain Connes in french. You have almost the same with Matilde Marcolli , The Spectral Geometry of the Standard Model ( pdf )

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The moduli space of the Standard Model is a point.

There is no massless scalar in the Standard Model.

answered Jan 27, 2018 by (5,120 points)

Thanks!

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