Numerical Study of c>1 Matter Coupled to Quantum Gravity

Abstract

We present the results of a numerical simulation aimed at understanding the nature of the `c = 1 barrier' in two dimensional quantum gravity. We study multiple Ising models living on dynamical ${\varphi }^3$ graphs and analyse the behaviour of moments of the graph loop distribution. We notice a universality at work as the average properties of typical graphs from the ensemble are determined only by the central charge. We further argue that the qualitative nature of these results can be understood from considering the effect of fluctuations about a mean field solution in the Ising sector.

12 pages

References in corpus (1)

• A naive matrix-model approach to two-dimensional quantum gravity coupled to matter of arbitrary central charge

Cited by in corpus (30)

• On the fractal structure of two-dimensional quantum gravity
• Scaling in four dimensional quantum gravity
• Baby universes in 2d quantum gravity
• Matter fields with c > 1 coupled to 2d gravity
• Quantum geometry of 2d gravity coupled to unitary matter
• Geometrical Interpretation of the KPZ Exponents
• The quantum space-time of c=-2 gravity
• Simulations of Dynamically Triangulated Gravity -- an Algorithm for Arbitrary Dimension
• Two Ising Models Coupled to 2-Dimensional Gravity
• 4D Quantum Gravity Coupled to Matter
• Exponent of n-Ising matter fields coupled to 2d gravity
• Quenching 2D Quantum Gravity
• Liouville quantum gravity with matter central charge in $(1,25)$: a probabilistic approach
• Phase Structure of the O(n) Model on a Random Lattice for n>2
• Percolation on Strings and the Cover-up of the c=1 Disaster
• Correlation Functions in the Multiple Ising Model Coupled to Gravity
• First Quantized Noncritical Relativistic Polyakov String
• Damaging 2D Quantum Gravity
• Square Gravity
• The XY Model on a Dynamical Random Lattice
• Monte Carlo Simulation of 2-D Quantum Gravity as Open Dynamically Triangulate Random Surfaces
• Complex Structures Defined on Dynamically Triangulated Surfaces
• Numerical study for the c-dependence of fractal dimension in two-dimensional quantum gravity
• Finite Size Effects for the Ising Model Coupled to 2-D Random Surfaces
• Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity
• 2D Quantum Gravity -Three States of Surfaces-
• Weak Liouville quantum gravity metrics with matter central charge $\mathbf{c}\in (-\infty ,25)$
• Dgsos on DTRS
• Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for $0<c<1$
• The Forgotten Potts Models