Lee-Yang zeroes and logarithmic corrections in the Φ44 theory

Ralph Kenna, C. B. Lang

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Abstract

The leading mean-field critical behaviour of Φ44-theory is modified by multiplicative logarithmic corrections. We analyse these corrections both analytically and numerically. In particular we present a finite-size scaling theory for the Lee-Yang zeroes and temperature zeroes, both of which exhibit logarithmic corrections. On lattices from size 84 to 244, Monte-Carlo cluster methods and multi-histogram techniques are used to determine the partition function zeroes closest to the critical point. Finite-size scaling behaviour is verified and the logarithmic corrections are found to be in good agreement with our analytical predictions.
Original languageEnglish
Pages (from-to)697-700
JournalNuclear Physics B - Proceedings Supplements
Volume30
DOIs
Publication statusPublished - Mar 1993

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scaling
histograms
partitions
critical point
predictions
temperature

Bibliographical note

The full text is available from: http://de.arxiv.org/abs/hep-lat/9210017

Cite this

Lee-Yang zeroes and logarithmic corrections in the Φ44 theory. / Kenna, Ralph; Lang, C. B.

In: Nuclear Physics B - Proceedings Supplements, Vol. 30, 03.1993, p. 697-700.

Research output: Contribution to journalArticle

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