The Hausdorff dimension in polymerized quantum gravity

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.

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References in corpus (2)

• The quantum space-time of c=-2 gravity
• The Spectral Dimension of Non-generic Branched Polymer Ensembles