Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-02-10
Physics
High Energy Physics
High Energy Physics - Theory
87 pages, 13 figures, review article prepared for the New Journal of Physics focus issue on Quantum Einstein Gravity
Scientific paper
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 particular 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, we compare the continuum prediction for their spectral dimension with Monte Carlo data from the Causal Dynamical Triangulation approach.
Reuter Martin
Saueressig Frank
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