Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity
High Energy Physics - Theory
2010-02-03 v2 Condensed Matter
General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
We describe a simple lattice model of higher-curvature quantum gravity in two dimensions and study the phase structure of the theory as a function of the curvature coupling. It is shown that the ensemble of flat graphs is entropically unstable to the formation of baby universes. In these simplified models the growth in graphs exhibits a branched polymer behaviour in the phase directly before the flattening transition.
Keywords
Cite
@article{arxiv.hep-th/9910195,
title = {Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity},
author = {Richard J. Szabo and John F. Wheater},
journal= {arXiv preprint arXiv:hep-th/9910195},
year = {2010}
}
Comments
18 pages LaTeX, 3 .eps figures, uses epsf.tex; clarifying comments added and typos corrected