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

Ralph Kenna, C. B. Lang

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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 languageEnglish
Pages (from-to)461-479
JournalNuclear Physics B
Volume393
Issue number3
DOIs
Publication statusPublished - 29 Mar 1993

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scaling
renormalization group methods
partitions
thermodynamics
predictions

Bibliographical note

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

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

In: Nuclear Physics B, Vol. 393, No. 3, 29.03.1993, p. 461-479.

Research output: Contribution to journalArticle

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