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

    Authors

    S. Catterall; J. Kogut;R. Renken

    Comments

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    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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