A new continuum limit of matrix models

TL;DR

This paper introduces a novel continuum limit for matrix models that connects to causal dynamical triangulations, revealing a matrix model representation for CDT continuum string field theory, thus bridging two approaches in quantum gravity research.

Contribution

It presents a new scaling limit of matrix models that aligns with CDT methods and demonstrates that this limit results in a matrix model, explaining the matrix-model structure of CDT string field theory.

Findings

New matrix model scaling limit related to CDT

The limit results in a matrix model, maintaining its structure

Provides a theoretical link between matrix models and CDT

Abstract

We define a new scaling limit of matrix models which can be related to the method of causal dynamical triangulations (CDT) used when investigating two-dimensional quantum gravity. Surprisingly, the new scaling limit of the matrix models is also a matrix model, thus explaining why the recently developed CDT continuum string field theory (arXiv:0802.0719) has a matrix-model representation (arXiv:0804.0252).