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Lee-Yang and Langer edge singularities from analytic continuation of scaling functions

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arxiv 2311.13530 v2 pith:FBCTTIFS submitted 2023-11-22 hep-lat cond-mat.stat-mechhep-ph

Frithjof Karsch , Christian Schmidt , Simran Singh This is my paper · ORCID
classification hep-latcond-mat.stat-mechhep-ph
keywords edgelangerlee-yangsingularityresultsscalingalonganalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the analytic continuation of scaling function in the 3-dimensional Z(2),O(2) andO(4) universality classes using the Schofield representation of the magnetic equation of state. We show that a determination of the location of Lee-Yang edge singularities and, in the case of Z(2), also the Langer edge singularity yields stable results. Results for the former are in good agreement with Functional Renormalization Group calculations. We also present results for the location of the Langer edge singularity in the 3-d,Z(2) universality class. We find that in terms of the complex scaling variable z the distance of the Langer edge singularity to the critical point agrees within errors with that of the Lee-Yang edge singularity. Furthermore the magnitude of the discontinuity along the Langer branch cut is an order of magnitude smaller than that along the Lee-Yang branch cut.

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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. QCD Chiral Crossover Line from Lee-Yang Edge Singularities

    hep-lat 2026-08 conditional novelty 6.0 of 10

    Using lattice-derived Lee-Yang zeros and chiral universality, this paper reconstructs the QCD crossover curvature kappa2 = 0.012(+0.002,-0.004), consistent with prior lattice results, without inputting the curvature itself.

  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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