- #1
shir
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Hi guys, have a very tricky question on my HW to find compact group of global symmetry to this Lagrangian of 2 complex scalar fields
[tex]L={\partial_\mu \phi_1^*}{\partial_\mu \phi_1}+{\partial_\mu \phi_2^*}{\partial_\mu \phi_2}-\lambda(\phi_1^* \phi_1 - \phi_2^* \phi_2 - v^2)^2[/tex]
and I can't figure it out because of the minus in potential part [tex]\phi_1^* \phi_1 - \phi_2^* \phi_2[/tex]
Do you have any ideas how to solve it?.
P.S. Of course there is U(1) group, but i think there should be something else.
Thank's.
[tex]L={\partial_\mu \phi_1^*}{\partial_\mu \phi_1}+{\partial_\mu \phi_2^*}{\partial_\mu \phi_2}-\lambda(\phi_1^* \phi_1 - \phi_2^* \phi_2 - v^2)^2[/tex]
and I can't figure it out because of the minus in potential part [tex]\phi_1^* \phi_1 - \phi_2^* \phi_2[/tex]
Do you have any ideas how to solve it?.
P.S. Of course there is U(1) group, but i think there should be something else.
Thank's.
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