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Denseness of Ashtekar-Lewandowski states and a generalized cut-off in loop quantum gravity

J. M. Velhinho
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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.

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BibTeXRIS

J. M. Velhinho. 2005-07-18. Denseness of Ashtekar-Lewandowski states and a generalized cut-off in loop quantum gravity. https://doi.org/10.1088/0264-9381%2F22%2F14%2F015

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