One can try to interpret the lattice theory as a manifestly
diffeomorphism-invariant construction, with the lattice
representing an entire diffeomorphism equivalence class of
lattices embedded in the continuum [146]. In order to make this interpretation consistent, one should
modify the functional form of either the Hamiltonian or the
measure, in such a way that the commutator of two lattice
Hamiltonians vanishes, as
.
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Discrete Approaches to Quantum Gravity in Four Dimensions
Renate Loll http://www.livingreviews.org/lrr-1998-13 © Max-Planck-Gesellschaft. ISSN 1433-8351 Problems/Comments to livrev@aei-potsdam.mpg.de |