On the diffeomorphism commutators of lattice quantum gravity

Details On the diffeomorphism commutators of lattice quantum gravity On the diffeomorphism commutators of lattice quantum gravity

1997-08-12

arxiv.org/abs/gr-qc/9708025v1

Class.Quant.Grav. 15 (1998) 799-809

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, TeX

Scientific paper

10.1088/0264-9381/15/4/008

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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