Shaken, but not stirred - Potts model coupled to 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.

19 pages, 9 figures

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• Quantum Gravity from Causal Dynamical Triangulations: A Review
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• Annealing by simulating the coherent Ising machine
• A new continuum limit of matrix models
• Causal Dynamical Triangulations and the Quest for Quantum Gravity
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• The spectral dimension in 2D CDT gravity coupled to scalar fields
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