Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-03-13
Phys.Lett. B399 (1997) 227-232
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, plain TeX
Scientific paper
10.1016/S0370-2693(97)00303-1
We point out that the inequality det E > 0 distinguishes the kinematical phase space of canonical connection gravity from that of a gauge field theory, and characterize the eigenvectors with positive, negative and zero-eigenvalue of the corresponding quantum operator in a lattice-discretized version of the theory. The diagonalization of the operator det E is simplified by classifying its eigenvectors according to the irreducible representations of the octagonal group.
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