Title

Ising-Models Coupled To 2-Dimensional And 3-Dimensional Quantum-Gravity

Authors

Authors

S. Catterall; J. Kogut;R. Renken

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Nucl. Phys. B

Keywords

Physics, Particles & Fields

Abstract

We present the results of numerical simulations aimed at understanding the nature of models encorporating Ising spins living on dynamical triangulations. In two dimensions we study multiple Ising systems in an effort to analyse the 'c=1' barrier. We observe a significant coupling of the spins to the lattice which increases with the central charge. We also establish the phase diagram of three dimensional quantum gravity coupled to Ising matter. We find that in the negative curvature phase of quantum gravity the Ising spins order for arbitrary ferromagnetic coupling because the coordination number of the sites diverges. However in the postive curvature phase there is evidence for two spin phases separated by a first order transition.

Journal Title

Nuclear Physics B

Publication Date

1-1-1993

Document Type

Article; Proceedings Paper

Language

English

First Page

775

Last Page

778

WOS Identifier

WOS:A1993KX82300151

ISSN

0550-3213

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