Abstract
Gauge Equivalence of the Aa=O (axial) gauge to the Coulomb gauge is directly verified in QED. For that purpose a pair of conjugate zero-norm fields are introduced. This enables us to construct a canonical formulation in the axial gauge embedded in the indefinite metric Hilbert space in such a way that the Feynman rules are not altered. In the indefinite metric Hilbert space we can implement a gauge transformation, which otherwise has to be carried out only by hand, as main parts of a canonical transformation so that equivalence in the physical subspace is directly verified. It is also pointed out that a canonical formulation in the Coulomb gauge embedded in the indefinite metric Hilbert space can be constructed in quite the same way.
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