Is There An Exponential Bound In 4-Dimensional Simplicial Gravity

    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

    Phys. Rev. Lett.

    Keywords

    QUANTUM-GRAVITY; DIMENSIONS; Physics, Multidisciplinary

    Abstract

    We have studied a model which has been proposed as a regularization for four-dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the four-sphere. Using numerical simulation we present evidence that the number of such triangulations containing V simplices may grow faster than exponentially with V. This property would ensure that the model has no thermodynamic limit.

    Journal Title

    Physical Review Letters

    Volume

    72

    Issue/Number

    26

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    4062

    Last Page

    4065

    WOS Identifier

    WOS:A1994NU48700002

    ISSN

    0031-9007

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