Universal location of Yang-Lee edge singularity for a one-component field theory in 1≤d≤41\le d \le 4

preprint2022arXivOpen access

Abstract

We determine the universal location of the Yang-Lee edge singularity in the entire relevant domain of spatial dimensions 1≤d≤41\le d \le 4 for the Ising universality class. To that end, we present analytical results for d=1,2,4d=1,2,4 and near four dimensions. For d=3d=3 and a set of fractional dimensions, we perform numerical calculations using a systematic Functional Renormalization Group approach.

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