John Wheater

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.

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.

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.