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

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arxiv 2203.16651 v2 pith:DH2AVITV submitted 2022-03-30 hep-ph cond-mat.stat-mech

classification hep-phcond-mat.stat-mech
keywords dimensionsedgelocationsingularityuniversalyang-leeanalyticalapproach
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Critical and multicritical Lee-Yang fixed points in the local potential approximation

    hep-th 2026-01 conditional novelty 6.0 of 10

    In the local potential approximation, the Lee-Yang fixed point of iφ^3 theory is followed to d=2 with few-percent-accurate scaling dimensions, while multicritical iφ^{2n+1} fixed points annihilate with new non-perturb...

  2. Finite-size scaling of Lee-Yang zeros and its application to the 3-state Potts model and heavy-quark QCD

    hep-lat 2025-01 conditional novelty 6.0 of 10

    Ratios of Lee-Yang zeros on finite lattices cross at the critical point, giving a new finite-size-scaling method verified in Ising, Potts, and heavy-quark QCD models.

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