If I have a Lagrangian of complex scalar field (just U(1) local invariance).
And I know that phi^star describes field with -e electric charge and phi describes field with e electric charge. How do I apply "charge issue" when I write Lagrnangian after spontaneous symmetry breaking in terms of Goldstone (which are afterwards adsorbed) and Higgs modes ?
They are charged not charged ? why how ? they become real fields and to have suppose electric charge fields shoud be complex....
Thanks a lot