Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$

Abstract

We determine the universal location of the Yang-Lee edge singularity in the entire relevant domain of spatial dimensions $1\le d\le 4$ for the Ising universality class. To that end, we present analytical results for $d=1,2,4$ and near four dimensions. For $d=3$ and a set of fractional dimensions, we perform numerical calculations using a systematic Functional Renormalization Group approach.

arXiv comment42 pages, 4 figures, 2 tables; version accepted for publication

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• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• Lee-Yang-zero ratio method in three-dimensional Ising model
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