Quenching 2D Quantum Gravity

Abstract

We simulate the Ising model on a set of fixed random ${\varphi }^3$ graphs, which corresponds to a {\it quenched} coupling to 2D gravity rather than the annealed coupling that is usually considered. We investigate the critical exponents in such a quenched ensemble and compare them with measurements on dynamical ${\varphi }^3$ graphs, flat lattices and a single fixed ${\varphi }^3$ graph.

8 pages

References in corpus (5)

• Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
• Matter fields with c > 1 coupled to 2d gravity
• Multiple Potts Models Coupled to Two-Dimensional Quantum Gravity
• Numerical Study of c>1 Matter Coupled to Quantum Gravity
• Ising Model Universality for Two-Dimensional Lattices

Cited by in corpus (12)

• Ising model on 3D random lattices: A Monte Carlo study
• Ising Spins on Thin Graphs
• Frustration effects in antiferromagnets on planar random graphs
• Spin Glasses on Thin Graphs
• Multiple Ising Spins Coupled to 2d Quantum Gravity
• The Ising Model on a Quenched Ensemble of c = -5 Gravity Graphs
• Softening of First-Order Phase Transition on Quenched Random Gravity Graphs
• Ising and Potts Models on Quenched Random Gravity Graphs
• Critical Exponents near a Random Fractal Boundary
• Non-Self Averaging in Autocorrelations for Potts Models on Quenched Random Gravity Graphs
• The Wrong Kind of Gravity
• Frustrating and Diluting Dynamical Lattice Ising Spins