J. Ambjorn et al., SPIN-SPIN CORRELATION-FUNCTIONS OF SPIN SYSTEMS COUPLED TO 2-D QUANTUM-GRAVITY FOR O-LESS-THAN-C-LESS-THAN-1, Nuclear physics. B, 1997, pp. 725-727
We perform Monte Carlo simulations of 2-d dynamically triangulated sur
faces coupled to Ising and three-states Potts model matter. By measuri
ng spin-spin correlation functions as a function of the geodesic dista
nce we provide substantial evidence for a diverging correlation length
at beta(c). The corresponding scaling exponents are directly related
to the KPZ exponents of the matter fields as conjectured in [4].