Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity
By Martin Reuter, Frank Saueressig. 2007
150 citations recorded by the source corpus.
These lecture notes provide a pedagogical introduction to a specific continuum implementation of the Wilsonian renormalization group, the effective average action. Its general properties and, in particular, its functional renormalization group equation are explained in a simple scalar setting. The approach is then applied to Quantum Einstein Gravity (QEG). The possibility of constructing a fundamental theory of quantum gravity in the framework of Asymptotic Safety is discussed and the supporting evidence is summarized.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8658e39d517c8bac3da2947643a46d26afd165bc
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- B. Dittrich
- Alejandro Perez
- Benjamin Bahr
- Gianluca Calcagni
- Carlo Rovelli
- S. Mukohyama
- L. Freidel
- T. Thiemann
In Nuclear and High Energy Physics
- B. Dittrich
- Alejandro Perez
- Benjamin Bahr
- Gianluca Calcagni
- Carlo Rovelli
- D. Oriti
- L. Freidel
- Sylvain Carrozza
In Statistical and Nonlinear Physics
- B. Dittrich
- Alejandro Perez
- Benjamin Bahr
- Gianluca Calcagni
- Carlo Rovelli
- D. Oriti
- L. Freidel
- Sylvain Carrozza
Citations in the corpus
- Improved and Perfect Actions in Discrete Gravity (2009, background): “Note the similarity between the improved action (5.7) and the Regge action (3.9) for simplices of constant curvature κ, for κ and Λ being related by (3.3).”
- The Spin-Foam Approach to Quantum Gravity (2012, background): “In the case of gravity there is evidence indicating that the theory might be non-perturbatively renormalizable coming from the investigations of non trivial fix points of the renormalization group flow in truncated models (see [317] and references therein).”
- Cosmology of the Lifshitz universe (2009, background): “ 5] and spin-foams [6] are among the most popular candidates for a theory of quantum gravity. Other independent approaches are asymptotically safe Quantum Einstein Gravity (QEG) [7]–[29] (reviewed in [28, 30, 31]) and Causal Dynamical Triangulations (CDT), a Lorentzian path-integral formulation of q”