Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for $0 < c < 1$

J. Ambjorn; K. N. Anagnostopoulos; U. Magnea; G. Thorleifsson

doi:10.1016/S0920-5632(96)00765-7

paper

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)

Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for 0<c<1

Abstract

Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for $0 < c < 1$