Lattice quantum gravity - an update
arXiv:1105.5582
Abstract
We advocate lattice methods as the tool of choice to constructively define a background-independent theory of Lorentzian quantum gravity and explore its physical properties in the Planckian regime. The formulation that arguably has most furthered our understanding of quantum gravity (and of various pitfalls present in the nonperturbative sector) uses dynamical triangulations to regularize the nonperturbative path integral over geometries. Its Lorentzian version in terms of Causal Dynamical Triangulations (CDT) - in addition to having a definite quantum signature on short scales - has been shown to reproduce important features of the classical theory on large scales. This article recaps the most important developments in CDT of the last few years for the physically relevant case of four spacetime dimensions, and describes its status quo at present.
14 pages, 8 figures, write-up of plenary talk at Lattice 2010, Villasimius, Sardegna, Italy, 14-19 June 2010
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Cited by in corpus (7)
- Emergent Models for Gravity: an Overview of Microscopic Models
- Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations
- Quantum Gravity via Causal Dynamical Triangulations
- Discrete Gravity Models and Loop Quantum Gravity: a Short Review
- De Sitter Universe from Causal Dynamical Triangulations without Preferred Foliation
- Laplacians on discrete and quantum geometries
- Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics