### Abstract

Original language | English |
---|---|

Pages (from-to) | 461-479 |

Journal | Nuclear Physics B |

Volume | 393 |

Issue number | 3 |

DOIs | |

Publication status | Published - 29 Mar 1993 |

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### Bibliographical note

The full text is available from: http://de.arxiv.org/abs/hep-lat/9210009### Cite this

*Nuclear Physics B*,

*393*(3), 461-479. https://doi.org/10.1016/0550-3213(93)90068-Z

**Renormalization group analysis of finite-size scaling in the ø44 model.** / Kenna, Ralph; Lang, C. B.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 393, no. 3, pp. 461-479. https://doi.org/10.1016/0550-3213(93)90068-Z

}

TY - JOUR

T1 - Renormalization group analysis of finite-size scaling in the ø44 model

AU - Kenna, Ralph

AU - Lang, C. B.

N1 - The full text is available from: http://de.arxiv.org/abs/hep-lat/9210009

PY - 1993/3/29

Y1 - 1993/3/29

N2 - A finite-size scaling theory for the ø44 model is derived using renormalization group methods. Particular attention is paid to the partition function zeroes, in terms of which all thermodynamic observables can be expressed. While the leading scaling behaviour is identical to that of mean field theory, there exist multiplicative logarithmic corrections too. A non-perturbative test of these formulae in the form of a high-precision Monte Carlo analysis reveals good quantitative agreement with the analytical predictions.

AB - A finite-size scaling theory for the ø44 model is derived using renormalization group methods. Particular attention is paid to the partition function zeroes, in terms of which all thermodynamic observables can be expressed. While the leading scaling behaviour is identical to that of mean field theory, there exist multiplicative logarithmic corrections too. A non-perturbative test of these formulae in the form of a high-precision Monte Carlo analysis reveals good quantitative agreement with the analytical predictions.

U2 - 10.1016/0550-3213(93)90068-Z

DO - 10.1016/0550-3213(93)90068-Z

M3 - Article

VL - 393

SP - 461

EP - 479

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -