Sahlmann H (2010)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2010
Publisher: Institute of Physics: Hybrid Open Access
Book Volume: 27
Article Number: 225007
Journal Issue: 22
DOI: 10.1088/0264-9381/27/22/225007
In a remarkable paper (Koslowski T A 2007 arXiv:0709.3465[gr-qc]), Koslowski introduced kinematical representations for loop quantum gravity in which a non-degenerate spatial background metric is present. He also considered their properties and showed that Gauß and diffeomorphism constraints can be implemented. With this paper, we streamline and extend his treatment. In particular, we show that the standard regularization of the geometric operators leads to well-defined operators in the new representations, and we work out their properties fully. We also give details on the implementation of the constraints. All of this is done in such a way as to show that the standard representation is a particular (and in some ways exceptional) case of the more general constructions. This does not mean that these new representations are as fundamental as the standard one. Rather, we believe they might be useful to find some form of effective theory of loop quantum gravity on large scales. © 2010 IOP Publishing Ltd.
APA:
Sahlmann, H. (2010). On loop quantum gravity kinematics with a non-degenerate spatial background. Classical and Quantum Gravity, 27(22). https://dx.doi.org/10.1088/0264-9381/27/22/225007
MLA:
Sahlmann, Hanno. "On loop quantum gravity kinematics with a non-degenerate spatial background." Classical and Quantum Gravity 27.22 (2010).
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