Comments

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

Abbreviated Journal Title

Phys. Rev. D

Keywords

Simplicial Quantum-Gravity; Dimensions; Astronomy & Astrophysics; Physics; Particles & Fields

Abstract

We define a simplified version of Regge quantum gravity where the link lengths can take on only two possible values, both always compatible with the triangle inequalities. This is therefore equivalent to a model of Ising spins living on the links of a regular lattice with somewhat complicated, yet local interactions. The measure corresponds to the natural sum over all 2♯links configurations, and numerical simulations can be efficiently implemented by means of look-up tables. In three dimensions we find a peak in the ‘‘curvature susceptibility’’ which grows with increasing system size. The value of the corresponding critical exponent appears to vary with the cosmological constant λ, agreeing with Regge gravity for at least one value of λ. However, the curvature does not go to zero at the transition.

Journal Title

Physical Review D

Volume

50

Issue/Number

12

Publication Date

1-1-1994

Document Type

Article

Language

English

First Page

7363

Last Page

7371

WOS Identifier

WOS:A1994PY49900027

ISSN

0556-2821

Download

Share

COinS