Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity
ArXiv hep-th/9910195 (1999)
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.Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity
(1999)
The spectral dimension of non-generic branched polymers
NUCL PHYS B-PROC SUP 73 (1999) 783-785
Abstract:
We show that the spectral dimension on non-generic branched polymers with susceptibility exponent gamma > 0 is given by d(s) = 2/(1 + gamma). For those models with gamma < 0 we find that d(s) = 2.The Hausdorff dimension in polymerized quantum gravity
ArXiv hep-th/9811205 (1998)
Abstract:
We calculate the Hausdorff dimension, $d_H$, and the correlation function exponent, $\eta$, for polymerized two dimensional quantum gravity models. If the non-polymerized model has correlation function exponent $\eta_0 >3$ then $d_H=\gamma^{-1}$ where $\gamma$ is the susceptibility exponent. This suggests that these models may be in the same universality class as certain non-generic branched polymer models.The Hausdorff dimension in polymerized quantum gravity
(1998)