Denseness of Ashtekar-Lewandowski states and a generalized cut-off in loop quantum gravity
General Relativity and Quantum Cosmology
2009-11-11 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show that the set of states of the Ashtekar-Isham-Lewandowski holonomy algebra defined by elements of the Ashtekar-Lewandowski Hilbert space is dense in the space of all states. We consider weak convergence properties of a modified version of the cut-off procedure currently in use in loop quantum gravity. This version is adapted to vector states rather than to general distributions.
Keywords
Cite
@article{arxiv.gr-qc/0502038,
title = {Denseness of Ashtekar-Lewandowski states and a generalized cut-off in loop quantum gravity},
author = {J. M. Velhinho},
journal= {arXiv preprint arXiv:gr-qc/0502038},
year = {2009}
}
Comments
16 pages. Minor changes, references added