Causal Dynamical Triangulation with Extended Interactions in 1+1 Dimensions

TL;DR

This paper explores an extension of Causal Dynamical Triangulation in 1+1 dimensions using non-critical string field theory, solving Schwinger-Dyson equations and deriving a matrix model that reproduces key equations.

Contribution

It introduces a novel approach combining CDT with extended interactions via non-critical SFT, deriving a matrix model that captures the continuum limit behavior.

Findings

Solved Schwinger-Dyson equations for disk amplitude perturbatively

Derived a matrix model reproducing the loop equation in the continuum limit

Established a connection between CDT with extended interactions and non-critical SFT

Abstract

We study the Causal Dynamical Triangulation (CDT) with extended interactions in 1+1 dimensions applying the method in the non-critical string field theory (SFT) constructed by Ishibashi and Kawai. For this model, we solve Schwinger-Dyson's equation (SDE) for disk amplitude perturbatively, and find a matrix model in the continuum limit reproducing the SDE in the non-critical SFT approach as the loop equation.