### Abstract

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.

Original language | English |
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Pages (from-to) | 461-479 |

Journal | Nuclear Physics B |

Volume | 393 |

Issue number | 3 |

DOIs | |

Publication status | Published - 29 Mar 1993 |

### Bibliographical note

The full text is available from: http://de.arxiv.org/abs/hep-lat/9210009## Fingerprint Dive into the research topics of 'Renormalization group analysis of finite-size scaling in the ø44 model'. Together they form a unique fingerprint.

## Cite this

Kenna, R., & Lang, C. B. (1993). Renormalization group analysis of finite-size scaling in the ø44 model.

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