CDT as a scaling limit of matrix models

TL;DR

This paper demonstrates that generalized causal dynamical triangulations (CDT), a model of 2D quantum gravity, can be derived as a scaling limit of a cubic matrix model using a novel, more natural scaling approach.

Contribution

It introduces a new scaling limit of matrix models that naturally yields generalized CDT, connecting quantum gravity models with matrix theory.

Findings

Generalized CDT can be obtained from a cubic matrix model.

A new, more natural scaling limit of matrix models is proposed.

The approach links quantum gravity with classical matrix model techniques.

Abstract

It is shown that generalized CDT, the two-dimensional theory of quantum gravity, constructed as a scaling limit from so-called causal dynamical triangulations, can be obtained from a cubic matrix model. It involves taking a new scaling limit of matrix models, which is more natural from a classical point of view.