As we know, the gauge bosons $W^{\pm}, Z$ and $\gamma$ couple to currents in the Standard Model. Now my question is are these currents conserved? I mean, there is no doubt about the electromagnetic current. However, what about the currents $J_{\pm}$ and $J_{Z}$? As far as I know, by the Weinberg-Witten theorem, they should not satisfy the relation $\partial_{\mu} J^{\mu } =0 $ before the spontaneous symmetry breaking. I guess the acquirance of mass changes things, since the Weinberg-Witten theorem is not valid now? But then, how can we see that now the currents are conserved after the gauge bosons acquired masses? I think I am mainly confusing the symmetries before the SSB and after the SSB, but I do not know how to look at this problem.
$\begingroup$
$\endgroup$
2
-
$\begingroup$ Linked. The currents of the SM are conserved before and after SSB. $\endgroup$– Cosmas ZachosCommented Nov 29, 2019 at 21:27
-
$\begingroup$ See this. $\endgroup$– Cosmas ZachosCommented Nov 29, 2019 at 21:30
Add a comment
|