Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

160 submissions , 130 unreviewed
4,191 questions , 1,562 unanswered
5,027 answers , 21,345 comments
1,470 users with positive rep
593 active unimported users
More ...

  Moduli Space of Standard Model

+ 0 like - 0 dislike
170 views

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 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! 

Thanks

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

+ 3 like - 0 dislike

The moduli space of the Standard Model is a point.

There is no massless scalar in the Standard Model.

answered Jan 27 by 40227 (5,000 points) [ no revision ]

Thanks!

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysicsOve$\varnothing$flow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
To avoid this verification in future, please log in or register.




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...