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nrqed

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Yes, that's the definition. Note that you meant ##\partial^\mu A^T_\mu(x)=0##.

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He might not be if he is reading Schwartz's QFT book. If I remember correctly, Schwartz starts by saying that he takes it for granted that students know that when summation inices appear one is covariant and the other contravariant and therefore puts all indices as subindices.Note that you meant ##\partial^\mu A^T_\mu(x)=0##.

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