Two-point functions in 4D dynamical triangulation
High Energy Physics - Lattice
2009-07-09 v2 General Relativity and Quantum Cosmology
Abstract
In the dynamical triangulation model of 4D euclidean quantum gravity we measure two-point functions of the scalar curvature as a function of the geodesic distance. To get the correlations it turns out that we need to subtract a squared one-point function which, although this seems paradoxical, depends on the distance. At the transition and in the elongated phase we observe a power law behaviour, while in the crumpled phase we cannot find a simple function to describe it.
Cite
@article{arxiv.hep-lat/9503004,
title = {Two-point functions in 4D dynamical triangulation},
author = {Bas V. de Bakker and Jan Smit},
journal= {arXiv preprint arXiv:hep-lat/9503004},
year = {2009}
}
Comments
16 pages, LaTeX2e source with postscript result, version to be published in Nucl. Phys. B