- #1
Jim Kata
- 197
- 6
I'm lazy so I'm going to start bringing my questions here.
Correct me if I'm wrong, but isn't it true that baryons only enter the standard model through this subtle topological effect. Now this is where I'm at. I kind of got the Goldstone boson concept, maybe someone could better explain that to me too. Anyways, say you have scalar fields. Now, these scalar fields have a vacuum expectation value. To my understanding this is where the pion and pion's mass comes from? Now due to some topological effect "skyrmions" baryons also enter.
Let me paraphrase a line in Weinberg vol II I don't get "the fields may furnish a reducible rather than irreducible representation of G (some group before its symmetry is broken) as for instance became the case when we introduced the nucleon fields in the previous section.
So to me this means that baryons in some sense come from from the fact that the fields furnish a reducible rather than irreducible representation of group G.
Where G for example could be SO(4), Spin(4) or whatever is isomorphic to SU(3)XSU(3)
Could someone flesh these ideas out for me?
Correct me if I'm wrong, but isn't it true that baryons only enter the standard model through this subtle topological effect. Now this is where I'm at. I kind of got the Goldstone boson concept, maybe someone could better explain that to me too. Anyways, say you have scalar fields. Now, these scalar fields have a vacuum expectation value. To my understanding this is where the pion and pion's mass comes from? Now due to some topological effect "skyrmions" baryons also enter.
Let me paraphrase a line in Weinberg vol II I don't get "the fields may furnish a reducible rather than irreducible representation of G (some group before its symmetry is broken) as for instance became the case when we introduced the nucleon fields in the previous section.
So to me this means that baryons in some sense come from from the fact that the fields furnish a reducible rather than irreducible representation of group G.
Where G for example could be SO(4), Spin(4) or whatever is isomorphic to SU(3)XSU(3)
Could someone flesh these ideas out for me?