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  Moduli Space of Standard Model

+ 0 like - 0 dislike

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).  

(Copied from StackExchange)

asked Jan 26, 2018 in Theoretical Physics by egarcitenre (0 points) [ no revision ]

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! 


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

1 Answer

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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 40227 (5,140 points) [ no revision ]


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