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

Ralph Kenna, C. B. Lang

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Abstract

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.
Original languageEnglish
Article number5012
JournalPhysical Review E
Volume49
DOIs
Publication statusPublished - 1 Jun 1994

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Ising model
Ising Model
Scaling
Scaling Behavior
scaling
Zero
Distribution of Zeros
Quantum Field Theory
Partition Function
Ising
Mean Field
Universality
partitions
Lowest
Critical point
Multiplicative
critical point
Logarithmic
Model
Class

Bibliographical note

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

Cite this

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

In: Physical Review E, Vol. 49, 5012, 01.06.1994.

Research output: Contribution to journalArticle

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