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

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

High Energy Physics - Lattice 2009-10-28 v1

Authors: J. Ambjorn , K. N. Anagnostopoulos , U. Magnea , G. Thorleifsson

View on arXiv ↗ PDF ↗ DOI ↗

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

Keywords

spin-spin correlation functions two-dimensional quantum gravity dynamically triangulated surfaces Ising model three-state Potts model KPZ exponents Monte Carlo simulation

Cite

@article{arxiv.hep-lat/9608022,
  title  = {Spin-spin correlation functions of spin systems coupled to 2-d quantum gravity for $0 < c < 1$},
  author = {J. Ambjorn and K. N. Anagnostopoulos and U. Magnea and G. Thorleifsson},
  journal= {arXiv preprint arXiv:hep-lat/9608022},
  year   = {2009}
}

Comments

Talk presented at LATTICE96(gravity)

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

Abstract

Keywords

Cite

Comments

Related papers