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arXiv · 0912.1278

New diffeomorphism invariant states on a holonomy-flux algebra

Michal Dziendzikowski·Andrzej Okolow
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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.

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Michal Dziendzikowski, Andrzej Okolow. 2010-10-22. New diffeomorphism invariant states on a holonomy-flux algebra. https://doi.org/10.1088/0264-9381%2F27%2F22%2F225005

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