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Asymptotic Safety, Fractals, and Cosmology

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Quantum Gravity and Quantum Cosmology

Part of the book series: Lecture Notes in Physics ((LNP,volume 863))

Abstract

These lecture notes introduce the basic ideas of the asymptotic safety approach to quantum Einstein gravity (QEG). In particular they provide the background for recent work on the possibly multi-fractal structure of the QEG space-times. Implications of asymptotic safety for the cosmology of the early Universe are also discussed.

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Notes

  1. 1.

    The ‘resolving power’ ℓ of the microscope is in general a complicated function of k. It can be found by an algorithm outlined in [97]. For the purposes of the present discussion it is sufficient to think of this relationship as ℓ≈1/k, like on flat space.

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Acknowledgements

M.R. would like to thank the organizers of the 6th Aegean Summer School for the opportunity to present this material and their cordial hospitality at Naxos. We are also grateful to D. Benedetti and J. Henson for sharing their Monte Carlo data with us, and A. Nink for a careful reading of the manuscript. The research of F.S. is supported by the Deutsche Forschungsgemeinschaft (DFG) within the Emmy-Noether program (Grant SA/1975 1-1).

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  1. Institute of Physics, University of Mainz, Staudingerweg 7, 55099, Mainz, Germany

    Martin Reuter & Frank Saueressig

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  1. Martin Reuter
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  2. Frank Saueressig
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Correspondence to Martin Reuter .

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Editors and Affiliations

  1. CSIC, Instituto de Estructura de la Materia, Madrid, Spain

    Gianluca Calcagni

  2. Department of Physics, National Technical University of Athens, Athens, 15780, Greece

    Lefteris Papantonopoulos

  3. Department of Physics and Astronomy, The University of Tennessee, Nielsen Physics Building 210, Knoxville, 37996-1200, Tennessee, USA

    George Siopsis

  4. Crete Center for Theoretical Physics, Department of Physics, University of Crete, Physics Bldg. 203, Heraklion, 71003, Greece

    Nikos Tsamis

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Reuter, M., Saueressig, F. (2013). Asymptotic Safety, Fractals, and Cosmology. In: Calcagni, G., Papantonopoulos, L., Siopsis, G., Tsamis, N. (eds) Quantum Gravity and Quantum Cosmology. Lecture Notes in Physics, vol 863. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33036-0_8

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