Locally Causal Dynamical Triangulations in Two Dimensions

TL;DR

This paper introduces a new two-dimensional quantum gravity model using Locally Causal Dynamical Triangulations, revealing a distinct universality class different from existing models through numerical analysis of geometric properties.

Contribution

The study presents the first analysis of LCDT in two dimensions, establishing its unique universality class via numerical measurements of geometric dimensions.

Findings

Hausdorff and spectral dimensions indicate a new universality class.

Continuum limit differs from Euclidean and Causal Dynamical Triangulations.

Numerical evidence supports the model's distinct universality class.

Abstract

We analyze the universal properties of a new two-dimensional quantum gravity model defined in terms of Locally Causal Dynamical Triangulations (LCDT). 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.