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How to approach Quantum Gravity - Background independence in 1+1 dimensions
D. Grumiller, W. Kummer
The application of quantum theory to gravity is beset with many technical and conceptual problems. After a short tour d'horizon of recent attempts to master those problems by the i…
2d quantum gravity with torsion, dilaton theory and black hole formation
Wolfgang Kummer
Starting from the work of the author in 1990 with different collaborators, essential progress in 2d gravity theories has been made. Now all such theories (and not only certain spec…
Hawking radiation and Hawking flux from spherical reduction
W. Kummer, D. V. Vassilevich
Using heat kernel techniques we show that the relation between Hawking temperature and radiation flux known from Einstein gravity in D dimensions can be reproduced from the spheric…
Exact Path Integral Quantization of 2-D Dilaton Gravity
W. Kummer, H. Liebl, D. V. Vassilevich
We demonstrate that in the absence of `matter' fields to all orders of perturbation theory and for all 2D dilaton theories the quantum effective action coincides with the classical…
General Treatment of All 2d Covariant Models
W. Kummer
General matterless models of gravity include dilaton gravity, arbitrary powers in curvature, but also dynamical torsion. They are a special class of "Poisson-sigma-models" whose so…