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On the diffeomorphism commutators of lattice quantum gravity

R Loll

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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.


PACS

04.60.Nc Lattice and discrete methods

04.60.Ds Canonical quantization

MSC

57R50 Diffeomorphisms

83Cxx General relativity

Subjects

Gravitation and cosmology

Dates

Issue 4 (April 1998)

Received 19 August 1997, in final form 15 December 1997



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