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

Fabian Rennecke; Vladimir V. Skokov

doi:10.1016/j.aop.2022.169010

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

High Energy Physics - Phenomenology 2022-07-25 v2 Statistical Mechanics

Authors: Fabian Rennecke , Vladimir V. Skokov

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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.

Keywords

yang-lee edge singularity ising universality class functional renormalization group spatial dimensions field theory

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@article{arxiv.2203.16651,
  title  = {Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d \le 4$},
  author = {Fabian Rennecke and Vladimir V. Skokov},
  journal= {arXiv preprint arXiv:2203.16651},
  year   = {2022}
}

Comments

42 pages, 4 figures, 2 tables; version accepted for publication

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

Abstract

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