Imposing det E > 0 in discrete quantum gravity

Preprint

13 March 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9703033

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.

Keywords

DISCRETE QUANTUM
QUANTUM GRAVITY
INEQUALITY DET
IMPOSING DET
EIGENVECTORS
KINEMATICAL
EIGENVALUE

All Related Versions

Version 1, 1997-03-13, ArXiv
Published version: Physics Letters B, 399 (3-4), 227.

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