Quantum Einstein gravity

@article{Reuter2012QuantumEG,
  title={Quantum Einstein gravity},
  author={Martin Reuter and Frank Saueressig},
  journal={New Journal of Physics},
  year={2012},
  volume={14}
}
We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in quantum Einstein gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the field with a focus on the evidence supporting the existence of the non-trivial renormalization group fixed point at the heart of the construction. As an application, the multifractal structure of the emerging space-times is discussed in detail. In particular… 

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