Ergodicity of Moves in 1+1D Causal Dynamical Triangulation

Causal dynamical triangulation (CDT) is an approach to quantum gravity with exciting numerical results. Starting from a triangulation of a manifold, many small random modifications are then applied, and the resulting triangulation is treated as one sample. This is done many times to build up an ensemble of triangulation for study. However, a key assumption in this process, ergodicity, remains unvalidated. Ergodic, here, means that the types of modifications used could potentially access any valid triangulation from any other, in a finite number of steps. In this talk, I will describe a new method which demonstrates this property for the commonly used moves in 1+1D CDT.