New diffeomorphism invariant states on a holonomy-flux algebra
Mathematical Physics
2010-10-25 v2 General Relativity and Quantum Cosmology
math.MP
Abstract
The theorem by Lewandowski et al. stating uniqueness of a diffeomorphism invariant state on an algebra of quantum observables for background independent theories of connections is based on some technical assumptions imposed on the algebra and the diffeomorphisms. In this paper we present a class of diffeomorphism invariant states on an algebra of this sort, which exist when the algebra and the diffeomorphisms satisfy alternative assumptions.
Keywords
Cite
@article{arxiv.0912.1278,
title = {New diffeomorphism invariant states on a holonomy-flux algebra},
author = {Michal Dziendzikowski and Andrzej Okolow},
journal= {arXiv preprint arXiv:0912.1278},
year = {2010}
}
Comments
27 pages, no figures, LaTeX2e, second half of the paper rewritten, some errors corrected