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arxiv: gr-qc/9708025 · v1 · submitted 1997-08-12 · 🌀 gr-qc · hep-lat

On the diffeomorphism commutators of lattice quantum gravity

classification 🌀 gr-qc hep-lat
keywords latticeconstraintsdiffeomorphismgravityquantumalgebraanomaliesarbitrary
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We show that the algebra of discretized spatial diffeomorphism constraints in Hamiltonian lattice quantum gravity closes without anomalies in the limit of small lattice spacing. The result holds for arbitrary factor-ordering and for a variety of different discretizations of the continuum constraints, and thus generalizes an earlier calculation by Renteln.

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