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

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

1996-08-06

arxiv.org/abs/hep-lat/9608022v1

Nucl.Phys.Proc.Suppl. 53 (1997) 725-727

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at LATTICE96(gravity)

Scientific paper

10.1016/S0920-5632(96)00765-7

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 $\beta_c$. The corresponding scaling exponents are directly related to the KPZ exponents of the matter fields as conjectured in [4] (NPB454(1995)313).

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