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

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Standard

A restricted dimer model on a two-dimensional random causal triangulation. / Ambjørn, Jan; Durhuus, Bergfinnur; Wheater, J. F.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 47, 365001 , 2014.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Ambjørn, J, Durhuus, B & Wheater, JF 2014, 'A restricted dimer model on a two-dimensional random causal triangulation', Journal of Physics A: Mathematical and Theoretical, vol. 47, 365001 . https://doi.org/10.1088/1751-8113/47/36/365001

APA

Ambjørn, J., Durhuus, B., & Wheater, J. F. (2014). A restricted dimer model on a two-dimensional random causal triangulation. Journal of Physics A: Mathematical and Theoretical, 47, [365001 ]. https://doi.org/10.1088/1751-8113/47/36/365001

Vancouver

Ambjørn J, Durhuus B, Wheater JF. A restricted dimer model on a two-dimensional random causal triangulation. Journal of Physics A: Mathematical and Theoretical. 2014;47. 365001 . https://doi.org/10.1088/1751-8113/47/36/365001

Author

Ambjørn, Jan ; Durhuus, Bergfinnur ; Wheater, J. F. / A restricted dimer model on a two-dimensional random causal triangulation. In: Journal of Physics A: Mathematical and Theoretical. 2014 ; Vol. 47.

Bibtex

@article{30fc2a464beb4f6a8aec679c7b90a54e,
title = "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.",
author = "Jan Ambj{\o}rn and Bergfinnur Durhuus and Wheater, {J. F.}",
year = "2014",
doi = "10.1088/1751-8113/47/36/365001",
language = "English",
volume = "47",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "Institute of Physics Publishing Ltd",

}

RIS

TY - JOUR

T1 - A restricted dimer model on a two-dimensional random causal triangulation

AU - Ambjørn, Jan

AU - Durhuus, Bergfinnur

AU - Wheater, J. F.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

U2 - 10.1088/1751-8113/47/36/365001

DO - 10.1088/1751-8113/47/36/365001

M3 - Journal article

VL - 47

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

M1 - 365001

ER -

ID: 130369989