Abstract
In the manifestly covariant canonical operator formalism of quantum gravity, democracy between spacetime and quantum fields (B-field, FP ghost and FP anti-ghost) is realized at the level of the superalgebra, but broken by the fact that every quantum field is a function of spacetime only. What happens if every quantum fields is a function of the FP ghost? it is shown that transformation properties of fields and field equations can be nicely formulated, but a trouble arises in the canonical quantization.
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