Locally causal dynamical triangulations in two dimensions

Abstract

We analyze the universal properties of a new two-dimensional quantum gravity model defined in terms of locally causal dynamical triangulations. Measuring the Hausdorff and spectral dimensions of the dynamical geometrical ensemble, we find numerical evidence that the continuum limit of the model lies in a new universality class of two-dimensional quantum gravity theories, inequivalent to both Euclidean and causal dynamical triangulations. The presence of significant finite-size effects, which are present even at the largest volumes investigated, prevents us from reaching a more definite conclusion.