A restricted dimer model on a two-dimensional random causal triangulation

J. Ambjørn; B. Durhuus; J. Wheater

DOI:10.1088/1751-8113/47/36/365001

Corpus ID: 119154464

A restricted dimer model on a two-dimensional random causal triangulation

@article{Ambjrn2014ARD,
  title={A restricted dimer model on a two-dimensional random causal triangulation},
  author={J. Ambj{\o}rn and B. Durhuus and J. Wheater},
  journal={Journal of Physics A},
  year={2014},
  volume={47},
  pages={365001}
}

J. Ambjørn, B. Durhuus, J. Wheater

Published 2014

Mathematics, Physics

Journal of Physics A

We introduce a restricted hard dimer model on a random causal triangulation that is exactly solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett. B 712 445?50). We show that the latter model exhibits unusual behaviour at its multicritical point; in particular, its Hausdorff dimension equals 3 and not as would be expected from general scaling arguments. When viewed as a special case of the generalized model introduced here we show that this behaviour is not… CONTINUE READING

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