Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-10-24
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 6 figures
Scientific paper
The emergence of fractal features in the microscopic structure of space-time is a common theme in many approaches to quantum gravity. In this work we carry out a detailed renormalization group study of the spectral dimension $d_s$ and walk dimension $d_w$ associated with the effective space-times of asymptotically safe Quantum Einstein Gravity (QEG). We discover three scaling regimes where these generalized dimensions are approximately constant for an extended range of length scales: a classical regime where $d_s = d, d_w = 2$, a semi-classical regime where $d_s = 2d/(2+d), d_w = 2+d$, and the UV-fixed point regime where $d_s = d/2, d_w = 4$. On the length scales covered by three-dimensional Monte Carlo simulations, the resulting spectral dimension is shown to be in very good agreement with the data. This comparison also provides a natural explanation for the apparent puzzle between the short distance behavior of the spectral dimension reported from Causal Dynamical Triangulations (CDT), Euclidean Dynamical Triangulations (EDT), and Asymptotic Safety.
Reuter Martin
Saueressig Frank
No associations
LandOfFree
Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-520644