Four-dimensional CDT with toroidal topology
arXiv:1705.07653 · doi:10.1016/j.nuclphysb.2017.06.026
Abstract
3+1 dimensional Causal Dynamical Triangulations (CDT) describe a quantum theory of fluctuating geometries without the introduction of a background geometry. If the topology of space is constrained to be that of a three-dimensional torus we show that the system will fluctuate around a dynamically formed background geometry which can be understood from a simple minisuperspace action which contains both a classical part and a quantum part. We determine this action by integrating out degrees of freedom in the full model, as well as by transfer matrix methods.
28 pages, 15 figures
References in corpus (7)
- Quantum Gravity at a Lifshitz Point
- Nonperturbative Quantum Gravity
- The Nonperturbative Quantum de Sitter Universe
- Second- and First-Order Phase Transitions in CDT
- The Semiclassical Limit of Causal Dynamical Triangulations
- Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity
- Renormalization Group Flow in CDT