Abstract
It is shown that the (possibly explicity time-dependent) gauge fixing conditions z a ( q, p, t ) = 0, invoked for the canonical quantization of gauge theories via the Faddeev path integral formulation, need not satisfy the restrictions { z a , z b } = 0. As a preparation, we reexamine and clarify how the canonical structure on the large (partly unphysical) phasespace Γ induces, through either Poisson brackets or Lagrange brackets or Dirac brackets, the canonical structure on the physical space of observables. The realizability of some particularly convenient coordinate systems on Γ is also proved.
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