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PreprintCC BY 4.0arXiv

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

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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BibTeX
@misc{wada2026leeyang,
  title = {{Lee-Yang zeros and edge singularity in a mean-field approach}},
  author = {Tatsuya Wada and Győző Kovács and Masakiyo Kitazawa and Takahiro M. Doi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.19964},
  eprint = {2605.19964},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.19964},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Lee-Yang zeros and edge singularity in a mean-field approach
AU  - Tatsuya Wada
AU  - Győző Kovács
AU  - Masakiyo Kitazawa
AU  - Takahiro M. Doi
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2605.19964
UR  - https://arxiv.org/abs/2605.19964
AB  - 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.
ER  -