CDT---an Entropic Theory of Quantum Gravity
arXiv:1007.2560
Abstract
In these lectures we describe how a theory of quantum gravity may be constructed in terms of a lattice formulation based on so-called causal dynamical triangulations (CDT). We discuss how the continuum limit can be obtained and how to define and measure diffeomorphism-invariant correlators. In four dimensions, which has our main interest, the lattice theory has an infrared limit which can be identified with de Sitter spacetime. We explain why this infrared property of the quantum spacetime is nontrivial and due to "entropic" effects encoded in the nonperturbative path integral measure. This makes the appearance of the de Sitter universe an example of true emergence of classicality from microscopic quantum laws. We also discuss nontrivial aspects of the UV behaviour, and show how to investigate quantum fluctuations around the emergent background geometry. Finally, we consider the connection to the asymptotic safety scenario, and derive from it a new, conjectured scaling relation in CDT quantum gravity.
49 pages, many figures. Lectures presented at the "School on Non-Perturbative Methods in Quantum Field Theory" and the "Workshop on Continuum and Lattice Approaches to Quantum Gravity", Sussex, September 15th-19th 2008 . To appear as a contribution to a Springer Lecture Notes in Physics book
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Cited by in corpus (17)
- Colored Tensor Models - a Review
- A second-order phase transition in CDT
- Second- and First-Order Phase Transitions in CDT
- Phase Transition in Dually Weighted Colored Tensor Models
- Emergent Models for Gravity: an Overview of Microscopic Models
- Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations
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- From dispersion relations to spectral dimension - and back again
- The Double Scaling Limit in Arbitrary Dimensions: A Toy Model
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