### Abstract

Original language | English |
---|---|

Pages (from-to) | 697-700 |

Journal | Nuclear Physics B - Proceedings Supplements |

Volume | 30 |

DOIs | |

Publication status | Published - Mar 1993 |

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### Bibliographical note

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

*Nuclear Physics B - Proceedings Supplements*,

*30*, 697-700. https://doi.org/10.1016/0920-5632(93)90305-P

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

Research output: Contribution to journal › Article

*Nuclear Physics B - Proceedings Supplements*, vol. 30, pp. 697-700. https://doi.org/10.1016/0920-5632(93)90305-P

}

TY - JOUR

T1 - Lee-Yang zeroes and logarithmic corrections in the Φ44 theory

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

VL - 30

SP - 697

EP - 700

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

SN - 0920-5632

ER -