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arXiv · 2402.03932

Revisiting the Lee-Yang singularities in the four-dimensional Ising model: a tribute to the memory of Ralph Kenna

J. J. Ruiz-Lorenzo
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Abstract

We have studied numerically the Lee-Yang singularities of the four dimensional Ising model at criticality, which is believed to be in the same universality class as the $\phi_4^4$ scalar field theory. We have focused in the numerical characterization of the logarithmic corrections to the scaling of the zeros of the partition function and its cumulative probability distribution, finding a very good agreement with the predictions of the renormalization group computation on the $\phi_4^4$ scalar field theory. To obtain these results, we have extended a previous study [R. Kenna, C. B. Lang, Nucl. Phys., 1993, B393, 461] in which there were computed numerically the first two zeros for $L\leqslant 24$ lattices, to the computation of the first four zeros for $L\leqslant 64$ lattices.

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J. J. Ruiz-Lorenzo. 2024-02-06. Revisiting the Lee-Yang singularities in the four-dimensional Ising model: a tribute to the memory of Ralph Kenna. https://doi.org/10.5488/cmp.27.33604

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