I wonder what the QED Lagrangian would look like if you carefully write out all units and physical constants. In particular the electrical charge would need to be included in more terms.

Can you write down the QED Lagrangian such that the physical units of all terms agree?

I wonder what the QED Lagrangian would look like if you carefully write out all units of the terms and make sure they are consistent. I think there is something missing about Coulomb.

Can you write down the QED Lagrangian such that the physical units of all terms agree and state the units of all variables and terms?