Critical behaviour in a model of planar random surfaces

B. Durhuus; J. Fröhlich; T. Jónsson

doi:10.1016/0550-3213(84)90238-4

Critical behaviour in a model of planar random surfaces

B. Durhuus
, J. Fröhlich
, T. Jónsson

Faculty of Physical Sciences

University of Iceland

Research output: Contribution to journal › Article › peer-review

Abstract

We solve a model of planar random surfaces exactly in the sense that, by assuming that the susceptibility diverges at a critical point, we determine the critical exponents and the Hausdorff dimension, and we show that the string tension does not tend to zero at the critical point. (The assumption that the susceptibility diverges has been verified numerically in 2 and 3 dimensions and proven for d = ∞.).

Original language	English
Pages (from-to)	453-480
Number of pages	28
Journal	Nuclear Physics, Section B
Volume	240
Issue number	4
DOIs	https://doi.org/10.1016/0550-3213(84)90238-4
Publication status	Published - 26 Nov 1984

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title = "Critical behaviour in a model of planar random surfaces",

abstract = "We solve a model of planar random surfaces exactly in the sense that, by assuming that the susceptibility diverges at a critical point, we determine the critical exponents and the Hausdorff dimension, and we show that the string tension does not tend to zero at the critical point. (The assumption that the susceptibility diverges has been verified numerically in 2 and 3 dimensions and proven for d = ∞.).",

author = "B. Durhuus and J. Fr{\"o}hlich and T. J{\'o}nsson",

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AU - Durhuus, B.

AU - Fröhlich, J.

AU - Jónsson, T.

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Y1 - 1984/11/26

N2 - We solve a model of planar random surfaces exactly in the sense that, by assuming that the susceptibility diverges at a critical point, we determine the critical exponents and the Hausdorff dimension, and we show that the string tension does not tend to zero at the critical point. (The assumption that the susceptibility diverges has been verified numerically in 2 and 3 dimensions and proven for d = ∞.).

AB - We solve a model of planar random surfaces exactly in the sense that, by assuming that the susceptibility diverges at a critical point, we determine the critical exponents and the Hausdorff dimension, and we show that the string tension does not tend to zero at the critical point. (The assumption that the susceptibility diverges has been verified numerically in 2 and 3 dimensions and proven for d = ∞.).

UR - https://www.scopus.com/pages/publications/0001472753

U2 - 10.1016/0550-3213(84)90238-4

DO - 10.1016/0550-3213(84)90238-4

M3 - Article

SN - 0550-3213

VL - 240

SP - 453

EP - 480

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 4

ER -

Critical behaviour in a model of planar random surfaces

Abstract

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