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
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- Quantum gravity and gravitational-wave astronomy
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- Gravitational-wave luminosity distance in quantum gravity
- Bouncing and emergent cosmologies from ADM RG flows
- Multiscale spacetimes from first principles
- Multifractional theories: an updated review
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- Asymptotically Safe Higgs Inflation
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- Introduction to multifractional spacetimes
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- Critical exponents in quantum Einstein gravity
- Quantum Cosmology Near Two Dimensions
- Quantum Weyl Invariance and Cosmology
- Evidence for a novel shift-symmetric universality class from the functional renormalization group
- An asymptotically safe guide to quantum gravity and matter
- Fractal AC circuits and propagating waves on fractals
- Quantum gravity and gravitational-wave astronomy
- Finite entanglement entropy and spectral dimension in quantum gravity
- Asymptotic safety and quantum gravity amplitudes
- Functional Renormalization Analytically Continued