### Abstract

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

Article number | 5012 |

Journal | Physical Review E |

Volume | 49 |

DOIs | |

Publication status | Published - 1 Jun 1994 |

### Fingerprint

### Bibliographical note

The full text is also available from: http://de.arxiv.org/pdf/hep-lat/9311029v1### Cite this

*Physical Review E*,

*49*, [5012]. https://doi.org/10.1103/PhysRevE.49.5012

**Scaling and density of Lee-Yang zeros in the four-dimensional Ising model.** / Kenna, Ralph; Lang, C. B.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 49, 5012. https://doi.org/10.1103/PhysRevE.49.5012

}

TY - JOUR

T1 - Scaling and density of Lee-Yang zeros in the four-dimensional Ising model

AU - Kenna, Ralph

AU - Lang, C. B.

N1 - The full text is also available from: http://de.arxiv.org/pdf/hep-lat/9311029v1

PY - 1994/6/1

Y1 - 1994/6/1

N2 - All of the information on the behavior of the four-dimensional Ising model is contained in the distribution and density of its partition function zeros. This model is believed to belong to the same universality class as the φ44 model which plays a central role in relativistic quantum field theory. Here the scaling behavior of the edge of the distribution of zeros and the asymptotic form for the density of zeros are determined. The finite-size dependency of the density of zeros—or the distance between zeros—at the infinite volume critical point is found using both analytic and numerical approaches. As with a previous analysis of the lowest lying zero, emphasis is laid on the multiplicative logarithmic corrections to mean field scaling behavior which are related to the triviality of the Ising and φ4 models in four dimensions.

AB - All of the information on the behavior of the four-dimensional Ising model is contained in the distribution and density of its partition function zeros. This model is believed to belong to the same universality class as the φ44 model which plays a central role in relativistic quantum field theory. Here the scaling behavior of the edge of the distribution of zeros and the asymptotic form for the density of zeros are determined. The finite-size dependency of the density of zeros—or the distance between zeros—at the infinite volume critical point is found using both analytic and numerical approaches. As with a previous analysis of the lowest lying zero, emphasis is laid on the multiplicative logarithmic corrections to mean field scaling behavior which are related to the triviality of the Ising and φ4 models in four dimensions.

U2 - 10.1103/PhysRevE.49.5012

DO - 10.1103/PhysRevE.49.5012

M3 - Article

VL - 49

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

M1 - 5012

ER -