The linearization of the Kodama state
High Energy Physics - Theory
2009-11-10 v3 General Relativity and Quantum Cosmology
Abstract
We study the question of whether the linearization of the Kodama state around classical deSitter spacetime is normalizable in the inner product of the theory of linearized gravitons on deSitter spacetime. We find the answer is no in the Lorentzian theory. However, in the Euclidean theory the corresponding linearized Kodama state is delta-functional normalizable. We discuss whether this result invalidates the conjecture that the full Kodama state is a good physical state for quantum gravity with positive cosmological constant.
Cite
@article{arxiv.hep-th/0310224,
title = {The linearization of the Kodama state},
author = {Laurent Freidel and Lee Smolin},
journal= {arXiv preprint arXiv:hep-th/0310224},
year = {2009}
}
Comments
14 pages, statement on the corresponding Yang-Mills case corrected