Two Ising Models Coupled to 2-Dimensional Gravity

Abstract

To investigate the properties of $c=1$ matter coupled to $2$d{--}gravity we have performed large-scale simulations of two copies of the Ising Model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicitly how logarithmic corrections are needed for a proper comparison with theoretical exponents. We also exhibit correlations, mediated by gravity, between the energy and magnetic properties of the two Ising species. The prospects for extending this work beyond $c=1$ are addressed.

revised version w/ typos corrected; standard latex w/ epsf and 9 figures

References in corpus (4)

• 2D Gravity and Random Matrices
• Exponent of n-Ising matter fields coupled to 2d gravity
• The XY Model on a Dynamical Random Lattice
• Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity

Cited by in corpus (24)

• On the fractal structure of two-dimensional quantum gravity
• A scenario for the c>1 barrier in non-critical bosonic strings
• A Real-Space Renormalization Group for Random Surfaces
• Multiple Ising Spins Coupled to 2d Quantum Gravity
• Phase Structure of the O(n) Model on a Random Lattice for n>2
• A geometric approach to free variable loop equations in discretized theories of 2D gravity
• Correlation Functions in the Multiple Ising Model Coupled to Gravity
• Random Surfaces and Lattice Gravity
• Square Gravity
• Complex Structures Defined on Dynamically Triangulated Surfaces
• Spectral Form Factor for Time-dependent Matrix model
• A model for semantic integration of business components
• On the $L_{\mathrm{YJ}}(\xi ,\eta ,X)$ constant for the Banaś-Frączek space
• Skew generalized von Neumann-Jordan constant for the Banaś-Frączek space
• Investigation of phytochemicals, spectral properties, anticancer, antidiabetic, and antimicrobial activities of chosen Ayurvedic remedies
• Spatio-Temporal-based Context Fusion for Video Anomaly Detection
• Meromorphic Behavior of Time Dependent Schroedinger Equation
• Proposal for Automatic License and Number Plate Recognition System for Vehicle Identification
• Some formulae for evaluation of the polariton and plasmon frequencies, in materials
• $c_0$ has the $p-RN-I$ Property
• The Ising Model on a Dynamically Triangulated Disk with a Boundary Magnetic Field
• The skew generalized Von Neumann Jordan constant in the unit sphere
• The Forgotten Potts Models
• Beyond the c=1 Barrier in Two-Dimensional Quantum Gravity