In developing the Yang-Mills Lagrangian, Wikipedia defines the covariant derivative as(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\ D_ \mu = \partial _\mu + A _\mu (x) [/tex].

Is A_mu to be taken as a 1-form, so that

[tex] \ D _\mu \Phi = \partial _\mu \Phi + A _\mu (x) [/tex]

or an operator on \Phi, such that

[tex] \ D _\mu \Phi = \partial _\mu \Phi + A _\mu (x) \Phi [/tex]

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# Yang-Mills covariant derivative

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