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.Three-state complex valued spins coupled to binary branched polymers in two-dimensional quantum gravity
NUCL PHYS B-PROC SUP 63 (1998) 754-756
Abstract:
A model of complex spins (corresponding to a non-minimal model in the language of CFT) coupled to the binary branched polymer sector of quantum gravity is considered. We show that this leads to new behaviour.Area distribution for directed random walks
JOURNAL OF STATISTICAL PHYSICS 92:3-4 (1998) 713-725
The spectral dimension on branched polymer ensembles
NATO ADV SCI I B-PHY 366 (1998) 341-348
The Spectral Dimension of Non-generic Branched Polymer Ensembles
ArXiv hep-th/9712058 (1997)