Shaken, but not stirred - Potts model coupled to quantum gravity

TL;DR

This study examines the three-state Potts model coupled with 2D Lorentzian quantum gravity, revealing that quantum fluctuations do not alter the model's critical exponents, unlike expectations from disorder effects.

Contribution

It provides numerical evidence that matter critical exponents remain unchanged when coupled to Lorentzian quantum gravity, supporting the robustness of causal dynamical triangulations.

Findings

Critical exponents are unaffected by quantum fluctuations.

Quantum gravity models show better behavior than Euclidean counterparts.

Supports previous findings on the stability of matter properties in quantum gravity.

Abstract

We investigate the critical behaviour of both matter and geometry of the three-state Potts model coupled to two-dimensional Lorentzian quantum gravity in the framework of causal dynamical triangulations. Contrary to what general arguments of the effects of disorder suggest, we find strong numerical evidence that the critical exponents of the matter are not changed under the influence of quantum fluctuations in the geometry, compared to their values on fixed, regular lattices. This lends further support to previous findings that quantum gravity models based on causal dynamical triangulations are in many ways better behaved than their Euclidean counterparts.