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Fractal Spacetime Structure in Asymptotically Safe Gravity
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Four-dimensional Quantum Einstein Gravity (QEG) is likely to be an asymptotically safe theory which is applicable at arbitrarily small distance scales. On sub-Planckian distances it predicts that spacetime is a fractal with an effective dimensionality of 2. The original argument leading to this result was based upon the anomalous dimension of Newton's constant. In the present paper we demonstrate that also the spectral dimension equals 2 microscopically, while it is equal to 4 on macroscopic scales. This result is an exact consequence of asymptotic safety and does not rely on any truncation. Contact is made with recent Monte Carlo simulations.
Forward citations
Cited by 2 Pith papers
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Nonperturbative effects in $T\bar{T}$-deformed conformal field theories: A toy model for Planckian physics
A resummed two-point correlator in T-bar-T deformed CFT exhibits oscillation then logarithmic suppression at scales below the Planck length, with an effective distance that depends only logarithmically on separation.
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The inflationary mechanism in Asymptotically Safe Gravity
Departure from the asymptotically safe gravity fixed point generates a plateau inflaton potential with a nearly scale-invariant spectrum, and the Starobinsky model is recovered for critical exponents θ1=θ2=2.
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