Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity

Details Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity

1999-10-25

arxiv.org/abs/hep-th/9910195v2

JHEP 0005:033,2000

Physics

High Energy Physics

High Energy Physics - Theory

18 pages LaTeX, 3 .eps figures, uses epsf.tex; clarifying comments added and typos corrected

Scientific paper

10.1088/1126-6708/2000/05/033

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.

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