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

Ralph Kenna; C. B. Lang

doi:10.1016/0550-3213(93)90068-Z

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

Ralph Kenna, C. B. Lang

School of Computing, Electronics and Maths

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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
Pages (from-to)	461-479
Journal	Nuclear Physics B
Volume	393
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(93)90068-Z
Publication status	Published - 29 Mar 1993

Bibliographical note

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

Access to Document

10.1016/0550-3213(93)90068-Z

9210009v2

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title = "Renormalization group analysis of finite-size scaling in the {\o}44 model",

abstract = "A finite-size scaling theory for the {\o}44 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.",

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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.

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

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SN - 0550-3213

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