Stochastic Quantization Approach for Causal Dynamical Triangulation String Field Theory

TL;DR

This paper develops a 2D Causal Dynamical Triangulation model from a matrix model, applying stochastic quantization to derive a generalized version with baby universe interactions, linking it to non-critical string field theory.

Contribution

It introduces a stochastic quantization approach to construct an extended GCDT model with baby universe interactions from a matrix model of loop gas.

Findings

Realized an extended GCDT model with baby universe interactions.

Connected the model to non-critical string field theory.

Provided a continuum limit scaling for the model.

Abstract

We construct a 2-dimensional Causal Dynamical Triangulation (CDT) model from a matrix model which represents the loop gas model of closed string. The target-space index is reinterpreted as time or geodesic distance. We apply stochastic quantization method to the model to obtain the Generalized CDT (GCDT), which has additional interaction of creating baby universe. If we take a specific scaling in continuum limit, we realize an extended GCDT model characterized by the non-critical string field theory.