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Suplementary [condn?]
The proof was given in Part II. But the modification needed is that sν is then considered as operator. However, the following commutator [sμ(x), sν(x)] [?] the proof. Since only the normal component of the space like surface is needed, [sμ, s4(x)] = 0.
Gauge ħ and fn
The equation [is?] gauge invariant. (proof is the same as before) Also the [?] equation can be taken over literally.
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