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div curl F= 0

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I'm having a memory blank on this particular area of field theory. Is the product of two spinors a scalar or scalar type entity and if so, can I treat it like a scalar? (i.e. move it around without worrying about order etc)

i.e.

is [tex] \Phi_1^{\dagger} \Phi_1 [/tex] a scalar?

and if so does:

[tex] \Phi_2 \left(\Phi_1^{\dagger} \Phi_1\right) = \left(\Phi_1^{\dagger} \Phi_1\right) \Phi_2 [/tex]

where both phi's are SU(2) complex spinors.

Thanks

i.e.

is [tex] \Phi_1^{\dagger} \Phi_1 [/tex] a scalar?

and if so does:

[tex] \Phi_2 \left(\Phi_1^{\dagger} \Phi_1\right) = \left(\Phi_1^{\dagger} \Phi_1\right) \Phi_2 [/tex]

where both phi's are SU(2) complex spinors.

Thanks

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