Journal article
A restricted dimer model on a two-dimensional random causal triangulation
- Abstract:
- 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 $3/2$ 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 generic and therefore is not likely to represent the true behaviour of the full dimer model on a random causal triangulation.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 416.8KB, Terms of use)
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- Publisher copy:
- 10.1088/1751-8113/47/36/365001
Authors
- Publisher:
- IOP Publishing
- Journal:
- Journal of Physics A: Mathematical and Theoretical More from this journal
- Volume:
- 47
- Issue:
- 36
- Pages:
- 365001-365001
- Publication date:
- 2014-08-22
- Acceptance date:
- 2014-07-24
- DOI:
- EISSN:
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1751-8121
- ISSN:
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1751-8113
- Keywords:
- Pubs id:
-
pubs:467037
- UUID:
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uuid:25ba816f-7bc0-4170-8cd5-75e7b98e2682
- Local pid:
-
pubs:467037
- Source identifiers:
-
467037
- Deposit date:
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2019-02-13
Terms of use
- Copyright holder:
- IOP Publishing
- Copyright date:
- 2014
- Notes:
- © 2014 IOP Publishing Ltd. This is the accepted manuscript version of the article. The final version is available online from IOP Publishing at: https://doi.org/10.1088/1751-8113/47/36/365001
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