Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity

Abstract

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.

31 pages

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Cited by in corpus (9)

• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity
• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• Signature change in 2-dimensional black-hole models of loop quantum gravity
• Signature change in loop quantum gravity: General midisuperspace models and dilaton gravity
• Deformed algebra and the effective dynamics of the interior of black holes
• Callan-Giddings-Harvey-Strominger vacuum in loop quantum gravity and singularity resolution
• New variables for 1+1 dimensional gravity
• The general gravitational Lagrangian with deformed covariance