Dilaton gravity, Poisson sigma models and loop quantum gravity

Spherically symmetric gravity in Ashtekar variables coupled to Yang -Mills theory in two dimensions and its relation to dilaton gravity and Poisson sigma models are discussed. After introducing its loop quantization, quantum corrections for inverse triad components are shown to provide a consistent...

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Bibliographic Details
Published in:Classical and quantum gravity 2009-02, Vol.26 (3), p.035018-035018 (26), Article 035018
Main Authors: Bojowald, Martin, Reyes, Juan D
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Physics
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Summary:Spherically symmetric gravity in Ashtekar variables coupled to Yang -Mills theory in two dimensions and its relation to dilaton gravity and Poisson sigma models are discussed. After introducing its loop quantization, quantum corrections for inverse triad components are shown to provide a consistent deformation without anomalies. The relation to Poisson sigma models provides a covariant action principle of the quantum-corrected theory with effective couplings. Results are also used to provide loop quantizations of spherically symmetric models in arbitrary D spacetime dimensions.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/3/035018