Multiple Potts Models Coupled to Two-Dimensional Quantum Gravity

TL;DR

This paper uses Monte Carlo simulations to study multiple Potts models coupled to 2D quantum gravity, finding no signs of pathological behavior for central charge greater than one, challenging previous expectations.

Contribution

It provides the first extensive numerical investigation of multiple Potts models on dynamical graphs in the $c>1$ region, offering new insights into quantum gravity models.

Findings

No signs of pathological behavior for $c>1$

Results challenge previous expectations about $c>1$ behavior

Discusses implications for modified DDK ansatz

Abstract

We perform Monte Carlo simulations using the Wolff cluster algorithm of {\it multiple} $q=2,3,4$ state Potts models on dynamical phi-cubed graphs of spherical topology in order to investigate the $c>1$ region of two-dimensional quantum gravity. Contrary to naive expectation we find no obvious signs of pathological behaviour for $c>1$. We discuss the results in the light of suggestions that have been made for a modified DDK ansatz for $c>1$.