Perturbative analysis of an n-Ising model on a random surface

Abstract

Two dimensional quantum gravity coupled to a conformally invariant matter field of central charge c=n/2, is represented, in a discretized version, by n independent Ising spins per cell of the triangulations of a random surface. The matrix integral representation of this model leads to a diagrammatic expansion at large orders, when the Ising coupling constant is tuned to criticality, one extracts the values of the string susceptibility exponent. We extend our previous calculation to order eight for genus zero and investigate now also the genus one case in order to check the possibility of having a well-defined double scaling limit even c>1.

9pp

References in corpus (3)

• Renormalization Group Approach to Matrix Models
• Multiple Potts Models Coupled to Two-Dimensional Quantum Gravity
• A naive matrix-model approach to two-dimensional quantum gravity coupled to matter of arbitrary central charge

Cited by in corpus (15)

• A scenario for the c>1 barrier in non-critical bosonic strings
• Nonlinear Renormalization Group Equation for Matrix Models
• Low Temperature Expansion of Matrix Models
• Two Ising Models Coupled to 2-Dimensional Gravity
• Exponent of n-Ising matter fields coupled to 2d gravity
• Spin Glasses on Thin Graphs
• Renormalization Group Approach to $c=1$ Matrix Model on a circle and D-brane Decay
• Multiple Ising Spins Coupled to 2d Quantum Gravity
• Grand-Canonical Ensemble of Random Surfaces with Four Species of Ising Spins
• Dynamically Triangulated Ising Spins in Flat Space
• Random Ising Spins in Two Dimensions - A Flat Space Realization of the KPZ Exponents
• A simple model of dimensional collapse
• Finite N analysis of matrix models for n-Ising spin on a random surface
• Matrix model approach to the flux lattice melting in $2D$ superconductors
• Dgsos on DTRS