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

TL;DR

This paper determines the universal position of the Yang-Lee edge singularity across dimensions 1 to 4 for the Ising class, combining analytical and numerical methods.

Contribution

It provides analytical results at specific dimensions and employs a systematic Functional Renormalization Group approach for intermediate and fractional dimensions.

Findings

Analytical results for d=1,2,4 and near four dimensions.

Numerical calculations for d=3 and fractional dimensions.

Universal location of the Yang-Lee edge singularity across dimensions.

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.