Spectrum of the Volume Operator in Quantum Gravity
General Relativity and Quantum Cosmology
2016-08-31 v1 High Energy Physics - Theory
Abstract
The volume operator is an important kinematical quantity in the non-perturbative approach to four-dimensional quantum gravity in the connection formulation. We give a general algorithm for computing its spectrum when acting on four-valent spin network states, evaluate some of the eigenvalue formulae explicitly, and discuss the role played by the Mandelstam constraints.
Cite
@article{arxiv.gr-qc/9511030,
title = {Spectrum of the Volume Operator in Quantum Gravity},
author = {R. Loll},
journal= {arXiv preprint arXiv:gr-qc/9511030},
year = {2016}
}
Comments
14 pages, plain tex, 4 figures (postscript, compressed and uu-encoded)