Volume Operator in Discretized Quantum Gravity
Abstract
We investigate the spectral properties of the volume operator in quantum gravity in the framework of a previously introduced lattice discretization. The spectrum of the volume operator is discrete, but its eigenstates differ from those found in an earlier continuum treatment. This illustrates how lattice methods can be used profitably in the context of diffeomorphisminvariant theories.
 Publication:

Physical Review Letters
 Pub Date:
 October 1995
 DOI:
 10.1103/PhysRevLett.75.3048
 arXiv:
 arXiv:grqc/9506014
 Bibcode:
 1995PhRvL..75.3048L
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 15 pages, TeX, 3 figures (postscript, compressed and uuencoded), May 95