On the diffeomorphism commutators of lattice quantum gravity

Abstract

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.

16 pages, TeX

References in corpus (2)

• Shot Noise Current-Current Correlations in Multi-Terminal Diffusive Conductors
• Further results on geometric operators in quantum gravity

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