New diffeomorphism invariant states on a holonomy-flux algebra

Details New diffeomorphism invariant states on a holonomy-flux algebra New diffeomorphism invariant states on a holonomy-flux algebra

2009-12-07

arxiv.org/abs/0912.1278v2

Class.Quant.Grav.27:225005,2010

Physics

Mathematical Physics

27 pages, no figures, LaTeX2e, second half of the paper rewritten, some errors corrected

Scientific paper

10.1088/0264-9381/27/22/225005

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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