Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for $0 < c < 1$
arXiv:hep-lat/9608022 · doi:10.1016/S0920-5632(96)00765-7
Abstract
We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a function of the geodesic distance we provide substantial evidence for a diverging correlation length at $β_c$. The corresponding scaling exponents are directly related to the KPZ exponents of the matter fields as conjectured in [4] (NPB454(1995)313).
Talk presented at LATTICE96(gravity)