A Solvable 2D Quantum Gravity Model with $\GAMMA >0$

TL;DR

This paper introduces an analytically solvable 2D quantum gravity model coupled with Ising spins, revealing a critical exponent of 1/3 at the phase transition, aligning with numerical observations.

Contribution

The paper presents a new solvable model of 2D quantum gravity with Ising spins, providing analytical insights into its critical behavior and phase transitions.

Findings

Critical exponent γ=1/3 at the spin transition point

Model captures numerically observed behavior of multiple Ising spins coupled to 2D gravity

Phase boundaries restricted to minimal length

Abstract

We consider a model of discretized 2d gravity interacting with Ising spins where phase boundaries are restricted to have minimal length and show analytically that the critical exponent $\gamma= 1/3$ at the spin transition point. The model captures the numerically observed behavior of standard multiple Ising spins coupled to 2d gravity.