2.13 Solutions to the Wheeler-DeWitt 2 Gauge-theoretic discretizations of gravity2.11 The measure

2.12 The constraint algebra

This line of research was continued by Renteln [179], who proved that for a particular factor-ordering (all momenta to the left), the subalgebra of the discretized diffeomorphism constraints (smeared by lapse functions N),

  equation190

closes in the limit as the lattice spacing is taken to zero. This calculation was later extended to a variety of different symmetrizations for the lattice operator and to an arbitrary factor-ordering of the form tex2html_wrap_inline2369, with tex2html_wrap_inline2371 [156]. Again, one does not find any quantum anomalies. It would be highly desirable to extend this result to commutators involving also the discretized Hamiltonian constraint and to find the explicit functional form of the anomalies, if there were any.



2.13 Solutions to the Wheeler-DeWitt 2 Gauge-theoretic discretizations of gravity2.11 The measure

image Discrete Approaches to Quantum Gravity in Four Dimensions
Renate Loll
http://www.livingreviews.org/lrr-1998-13
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