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Imposing det E > 0 in discrete quantum gravity

R. Loll
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Abstract

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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R. Loll. 1997-03-13. Imposing det E > 0 in discrete quantum gravity. https://doi.org/10.1016/s0370-2693(97)00303-1

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