Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity

Details Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity

2008-10-28

arxiv.org/abs/0810.5119v1

Class.Quant.Grav.26:035018,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages

Scientific paper

10.1088/0264-9381/26/3/035018

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 space-time dimensions.

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