Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-15
Physics
High Energy Physics
High Energy Physics - Theory
Review, 146 pages, many figures
Scientific paper
Asymptotic safety describes a scenario in which general relativity can be quantized as a conventional field theory, despite being nonrenormalizable when expanding it around a fixed background geometry. It is formulated in the framework of the Wilsonian renormalization group and relies crucially on the existence of an ultraviolet fixed point, for which evidence has been found using renormalization group equations in the continuum. "Causal Dynamical Triangulations" (CDT) is a concrete research program to obtain a nonperturbative quantum field theory of gravity via a lattice regularization, and represented as a sum over spacetime histories. In the Wilsonian spirit one can use this formulation to try to locate fixed points of the lattice theory and thereby provide independent, nonperturbative evidence for the existence of a UV fixed point. We describe the formalism of CDT, its phase diagram, possible fixed points and the "quantum geometries" which emerge in the different phases. We also argue that the formalism may be able to describe a more general class of Ho\v{r}ava-Lifshitz gravitational models.
Ambjorn Jan
Goerlich Andrzej
Jurkiewicz Jerzy
Loll Renate
No associations
LandOfFree
Nonperturbative Quantum Gravity 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 Nonperturbative Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonperturbative Quantum Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-348193