Lee-Yang zeroes and logarithmic corrections in the Φ44 theory

Ralph Kenna; C. B. Lang

doi:10.1016/0920-5632(93)90305-P

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 language	English
Pages (from-to)	697-700
Journal	Nuclear Physics B - Proceedings Supplements
Volume	30
DOIs	https://doi.org/10.1016/0920-5632(93)90305-P
Publication status	Published - Mar 1993

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

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10.1016/0920-5632(93)90305-P

9210017v1

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title = "Lee-Yang zeroes and logarithmic corrections in the Φ44 theory",

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.",

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AU - Kenna, Ralph

AU - Lang, C. B.

N1 - The full text is available from: http://de.arxiv.org/abs/hep-lat/9210017

PY - 1993/3

Y1 - 1993/3

N2 - 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.

AB - 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.

U2 - 10.1016/0920-5632(93)90305-P

DO - 10.1016/0920-5632(93)90305-P

M3 - Article

SN - 0920-5632

VL - 30

SP - 697

EP - 700

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

Lee-Yang zeroes and logarithmic corrections in the Φ44 theory

Abstract

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