Abstract
We show how Dirac's formalism for quantizing constrained systems may be used to obtain the commutator relations for QED in a completely fixed (super) axial gauge by working in the usual second order formulation of QED. The local form of these gauge conditions requires inversions on subspaces. We show how to generalize the notion of Dirac brackets, such as to accommodate for such an unusual situation. In contrast to the case of the (incompletely fixed) gaugeA3=0, the commutator algebra which we obtain is consistent with vanishing field strengths at infinity and is in full agreement with that obtained at infinity and is in full agreement with that obtained previously in the first order formulation of QED. The generator of “transverse” gauge transformations,Q⊥, is shown to vanish strongly, as expected.
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