Foliations and 2+1 Causal Dynamical Triangulation Models
arXiv:hep-th/0505004 · doi:10.1103/PhysRevD.73.024023
Abstract
The original models of causal dynamical triangulations construct space-time by arranging a set of simplices in layers separated by a fixed time-like distance. The importance of the foliation structure in the 2+1 dimensional model is studied by considering variations in which this property is relaxed. It turns out that the fixed-lapse condition can be equivalently replaced by a set of global constraints that have geometrical interpretation. On the other hand, the introduction of new types of simplices that puncture the foliating sheets in general leads to different low-energy behavior compared to the original model.
v2: 9 pages, 3 figures, published version
References in corpus (7)
- Emergence of a 4D World from Causal Quantum Gravity
- Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change
- Dynamically Triangulating Lorentzian Quantum Gravity
- A non-perturbative Lorentzian path integral for gravity
- Non-perturbative 3d Lorentzian Quantum Gravity
- Polymeric Phase of Simplicial Quantum Gravity
- Gauge fixing in Causal Dynamical Triangulations
Cited by in corpus (5)
- Causal Dynamical Triangulations without Preferred Foliation
- De Sitter Universe from Causal Dynamical Triangulations without Preferred Foliation
- Statistical Mechanics of Graphity Models
- A first look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
- Gauge fixing in Causal Dynamical Triangulations