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Asymptotic Safety, Fractals, and Cosmology

arXiv:1205.5431 · doi:10.1007/978-3-642-33036-0_8

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 multifractal structure of the QEG space-times. Implications of Asymptotic Safety for the cosmology of the early Universe are also discussed.

41 pages, lectures given at the Sixth Aegean Summer School on Quantum Gravity and Quantum Cosmology, Chora, Naxos (Greece), September 2011