### Abstract

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

Pages (from-to) | 292–304 |

Journal | Nuclear Physics B |

Volume | 691 |

Issue number | 3 |

DOIs | |

Publication status | Published - 26 Jul 2004 |

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### Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/hep-lat/0405023NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear Physics B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nuclear Physics B, [691, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.05.012

© 2004, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

### Cite this

**Finite size scaling for O(N) φ4-theory at the upper critical dimension.** / Kenna, Ralph.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 691, no. 3, pp. 292–304. https://doi.org/10.1016/j.nuclphysb.2004.05.012

}

TY - JOUR

T1 - Finite size scaling for O(N) φ4-theory at the upper critical dimension

AU - Kenna, Ralph

N1 - The full text is also available from: http://de.arxiv.org/abs/hep-lat/0405023 NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear Physics B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nuclear Physics B, [691, 3, 2004] DOI: 10.1016/j.nuclphysb.2004.05.012 © 2004, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

PY - 2004/7/26

Y1 - 2004/7/26

N2 - A finite size scaling theory for the partition function zeroes and thermodynamic functions of O(N) φ4-theory in four dimensions is derived from renormalization group methods. The leading scaling behaviour is mean-field like with multiplicative logarithmic corrections which are linked to the triviality of the theory. These logarithmic corrections are independent of N for odd thermodynamic quantities and associated zeroes and are N dependent for the even ones. Thus a numerical study of finite size scaling in the Ising model serves as a non-perturbative test of triviality of φ44-theories for all N.

AB - A finite size scaling theory for the partition function zeroes and thermodynamic functions of O(N) φ4-theory in four dimensions is derived from renormalization group methods. The leading scaling behaviour is mean-field like with multiplicative logarithmic corrections which are linked to the triviality of the theory. These logarithmic corrections are independent of N for odd thermodynamic quantities and associated zeroes and are N dependent for the even ones. Thus a numerical study of finite size scaling in the Ising model serves as a non-perturbative test of triviality of φ44-theories for all N.

U2 - 10.1016/j.nuclphysb.2004.05.012

DO - 10.1016/j.nuclphysb.2004.05.012

M3 - Article

VL - 691

SP - 292

EP - 304

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -