TL;DR
This paper presents evidence from simulations that 2+1 dimensional Causal Dynamical Triangulations (CDT) are effectively described by a modified Wheeler-De Witt kinetic term, linking CDT to Horava-Lifshitz gravity.
Contribution
The study provides the first evidence that the effective continuum action in 2+1D CDT includes a modified Wheeler-De Witt kinetic term, suggesting a connection to Horava-Lifshitz gravity.
Findings
Evidence from modular parameter measurements supports the modified kinetic term.
Local metric fluctuation measurements corroborate the effective action.
Results strengthen the link between CDT and alternative gravity theories.
Abstract
We report on recently performed simulations of Causal Dynamical Triangulations (CDT) in 2+1 dimensions aimed at studying its effective dynamics in the continuum limit. Two pieces of evidence from completely different measurements are presented suggesting that three-dimensional CDT is effectively described by an action with kinetic term given by a modified Wheeler-De Witt metric. These observations could strengthen an earlier observed connection between CDT and Horava-Lifshitz gravity. One piece of evidence comes from measurements of the modular parameter in CDT simulations with spatial topology of a torus, the other from measurements of local metric fluctuations close to a fixed spatial boundary.
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