Running Coupling Constants in 2D Gravity

TL;DR

This paper investigates the renormalization group flow of two-dimensional field theories coupled to gravity, specifically analyzing the sine-Gordon model to understand phase diagrams consistent with matrix model predictions.

Contribution

It generalizes the David-Distler-Kawai theory to accurately derive the phase diagram of 2D gravity coupled to the sine-Gordon model.

Findings

Phase diagram consistent with matrix model results

Generalization of existing 2D gravity theories

Insights into RG flow in 2D coupled systems

Abstract

The renormalization group flow in two--dimensional field theories that are coupled to gravity is discussed at the example of the sine-Gordon model. In order to derive the phase diagram in agreement with the matrix model results, it is necessary to generalize the theory of David, Distler and Kawai.