Is the Exponential of the Chern-Simons Action a Normalizable Physical State?
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
We determine the wavefunction that corresponds to the exponential of the Chern-Simons action in a family of gravitational models provided with cosmological constant whose non-perturbative canonical quantization is completely known. We show that this wavefunction does not represent a proper quantum state, because it is not normalizable with respect to the unique inner product of Lorentzian gravity.
Keywords
Cite
@article{arxiv.gr-qc/9402034,
title = {Is the Exponential of the Chern-Simons Action a Normalizable Physical State?},
author = {Guillermo A. Mena Marugan},
journal= {arXiv preprint arXiv:gr-qc/9402034},
year = {2010}
}
Comments
13 pages (LATEX), Preprint CGPG-94/2-2