Why Do Textbooks Use Different Signs in Gauge Covariant Derivative Notations?

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SUMMARY

The discussion clarifies the differing notations for the gauge covariant derivative, specifically D_u=d_u-ieA_u versus D_u=d_u+ieA_u. This discrepancy is attributed to conventions in defining the relationship between "e" and the electric charge of the electron. Ultimately, the choice of notation is a matter of convenience and does not affect the underlying physics. Understanding this convention is essential for interpreting various textbooks on the subject.

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captain
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I was wonder why some textbooks define it as D_u=d_u-ieA_u and other textbooks define it as D_u=d_u+ieA_u. I am not clear whether this choice doesn't matter or is one notation correct.
 
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It's not relevant, it"s simply a matter of convention and convenience. It has to do with the connection between "e" and the value of the electric charge of the electron.
 

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