The Hausdorff dimension in polymerized quantum gravity

Details The Hausdorff dimension in polymerized quantum gravity The Hausdorff dimension in polymerized quantum gravity

1998-11-24

arxiv.org/abs/hep-th/9811205v2

Phys.Lett. B448 (1999) 185-190

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure. A meaning-free sentence has been rewritten

Scientific paper

10.1016/S0370-2693(99)00046-5

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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