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Jan 7, 2018 at 20:58 comment added Qmechanic In the traditional counting, (3+1)D E&M has 3 off-shell DOF and 2 on-shell DOF, cf. e.g. this Phys.SE post.
Jan 6, 2018 at 19:01 comment added rossng So we can vary $A_\mu$ and $E_i$ independently (with their respective equations of motion holding only in the classical limit), but must assert $\delta S/\delta B_i \equiv 0$ in order to get a sensible quantum theory? With gauge fixing that leaves 6 nominal degrees of freedom, but the conjugate momenta for $E_i$ vanish, leaving only 3 dynamical DoFs. Is that correct? Thanks!
Jan 6, 2018 at 17:25 vote accept rossng
Jan 6, 2018 at 13:20 history edited Qmechanic CC BY-SA 3.0
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Jan 6, 2018 at 13:09 history answered Qmechanic CC BY-SA 3.0