On the diffeomorphism commutators of lattice quantum gravity

Loll, Renate

doi:10.1088/0264-9381/15/4/008

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On the diffeomorphism commutators of lattice quantum gravity

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Loll, Renate
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Loll, R. (1998). On the diffeomorphism commutators of lattice quantum gravity. Classical and Quantum Gravity, 15(4), 799-809. doi:10.1088/0264-9381/15/4/008.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-595B-9

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.