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Lee-Yang zeros and edge singularity in a mean-field approach

Tatsuya Wada1,*, Győző Kovács2,3,†, Masakiyo Kitazawa1,4,‡, and Takahiro M. Doi5,§

  • *Contact author: tatsuya.wada@yukawa.kyoto-u.ac.jp
  • †Contact author: gyozo.kovacs@uwr.edu.pl
  • ‡Contact author: kitazawa@yukawa.kyoto-u.ac.jp
  • §Contact author: doi.takahiro.5d@kyoto-u.ac.jp
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Phys. Rev. D 114, 036013 – Published 10 August, 2026

DOI: https://doi.org/10.1103/gtlg-tbhy

Abstract

The analytic structure of the partition function in finite-volume systems is investigated at complex chemical potentials in a minimal mean-field effective model of QCD with finite-size effects incorporated. We discuss the temperature dependence of the Lee-Yang zeros and their relation to the edge singularity for various system sizes. Different methods for locating the critical point based on finite-size scaling of Lee-Yang zeros and susceptibility ratios are compared. We demonstrate that these methods can successfully identify the critical point, whereas a careful treatment of corrections from irrelevant operators is crucial for its accurate determination.

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Phys. Rev. D 114, 036013– Published 10 August, 2026
  • Received 22 May 2026
  • Accepted 13 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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