Quantum Einstein gravity
By Martin Reuter, Frank Saueressig. 2012
398 citations recorded by the source corpus.
We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in quantum Einstein gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the field with a focus on the evidence supporting the existence of the non-trivial renormalization group fixed point at the heart of the construction. As an application, the multifractal structure of the emerging space-times is discussed in detail. In particular, we compare the continuum prediction for their spectral dimension with Monte Carlo data from the causal dynamical triangulation approach.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e0e35415295d3f358eab03f0a4c2be6629b13cc6
How researchers see this paper
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In Nuclear and High Energy Physics
- A. Eichhorn
- William Donnelly
- Aron C. Wall
- B. Dittrich
- D. Harlow
- L. Freidel
- Aitor Lewkowycz
- T. Nishioka
In Statistical and Nonlinear Physics
- Aron C. Wall
- A. Eichhorn
- William Donnelly
- B. Dittrich
- D. Harlow
- L. Freidel
- T. Faulkner
- Aitor Lewkowycz
Citations in the corpus
- An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, background): “For instance, the vielbein and the connection can be treated as independent variables (Daum and Reuter, 2012, 2013; Harst and Reuter, 2015, 2016), or torsion can be included (Pagani and Percacci, 2015; Reuter and Schollmeyer, 2016).”
- The nonperturbative functional renormalization group and its applications (2020, neutral): “27 for an illustration, including studies of the Einstein-Hilbert truncation [1096, 1097, 1149–1155] and beyond [1082, 1098, 1103–1108, 1110–1112, 1156], see [673, 1010, 1157–1159] for reviews and [1160, 1161] for recent introductory lectures.”
- Geometric entropy and edge modes of the electromagnetic field (2015, background): “This is the asymptotic safety scenario proposed in [60, 61] (see [62, 63] for reviews).”
- The continuum limit of loop quantum gravity - a framework for solving the theory (2014, background): “This philosophy is similar to the asymptotic safety scenario [34] where one hopes to extrapolate to the UV starting from the IR.”