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Description
We investigate the distribution of Lee-Yang zeros in the complex chemical potential plane and their relation to the Lee-Yang edge singularity in a linear sigma model as an effective model of QCD. To treat finite-size systems in a mean-field approach, we define the partition function as an integral of the constant order parameter field, which allows a simultaneous treatment of Lee-Yang zeros in finite volume and the Lee–Yang edge singularity in the thermodynamic limit. We study the temperature dependence of the Lee-Yang zeros and demonstrate their behavior, especially near the critical point and vanishing chemical potential. We also compare our results with recent lattice QCD simulations.
Reference: T. Wada, G. Kovacs, M. Kitazawa, T.M. Doi, arXiv:2605.19964 [hep-ph]