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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.
Publication status:
Published

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Publisher copy:
10.1016/S0370-2693(99)00046-5

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Journal:
Phys.Lett. B More from this journal
Volume:
448
Issue:
3-4
Pages:
185-190
Publication date:
1998-11-24
DOI:
ISSN:
0370-2693


Keywords:
Pubs id:
pubs:29227
UUID:
uuid:23c88708-0120-4537-a1cc-b02315cd32d5
Local pid:
pubs:29227
Source identifiers:
29227
Deposit date:
2012-12-19

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