Block Spin Renormalization-Group Approach And 2-Dimensional Quantum-Gravity

    Authors

    R. L. Renken

    Comments

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    Abbreviated Journal Title

    Phys. Rev. D

    Keywords

    ISING-MODEL; TRANSITION; BEHAVIOR; LATTICE; Astronomy & Astrophysics; Physics, Particles & Fields

    Abstract

    A block spin renormalization group approach is proposed for the dynamical triangulation formulation of two-dimensional quantum gravity. The idea is to update link flips on the block lattice in response to link flips on the original lattice. Just as the connectivity of the original lattice is meant to be a lattice representation of the metric, the block links are determined in such a way that the connectivity of the block lattice represents a block metric. As an illustration, this approach is applied to the Ising model coupled to two-dimensional quantum gravity. The correct critical coupling is reproduced, but the critical exponent is obscured by unusually large finite-size effects.

    Journal Title

    Physical Review D

    Volume

    50

    Issue/Number

    8

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    5130

    Last Page

    5136

    WOS Identifier

    WOS:A1994PP25000042

    ISSN

    0556-2821

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