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arXiv · 2608.05752

QCD Chiral Crossover Line from Lee-Yang Edge Singularities

Heng-Tong Ding·Swagato Mukherjee·Peter Petreczky·Kai-Fan Ye
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Abstract

We propose a universality-based reconstruction of the QCD chiral crossover line from Lee-Yang edge singularities in the complex baryon chemical potential plane. The framework maps lattice-extracted complex Lee-Yang-zero estimates, treated as proxies for edge singularities, to the universal chiral Lee-Yang edge and thereby determines the $\mu_B$ dependence of both the chiral critical line in the light-quark chiral limit and the pseudo-critical crossover line at physical quark masses. As an illustration, we apply the framework to Lee-Yang-zero estimates recently obtained by the Wuppertal-Budapest collaboration from high-statistics lattice QCD simulations. Without imposing the previously determined small-$\mu_B$ expansion of the crossover line as input, the reconstructed curvature is consistent with existing continuum lattice-QCD results at small $\mu_B$. The fitted chiral-limit transition temperature is also compatible with existing chiral-scaling analyses. These results demonstrate that lattice information on Lee-Yang singularities, combined with universal chiral scaling, provides a quantitatively consistent constraint on the QCD crossover line within the present temperature window and establishes a framework that can be systematically improved with future Lee-Yang-zero determinations.

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Heng-Tong Ding, Swagato Mukherjee, Peter Petreczky, Kai-Fan Ye. 2026-08-06. QCD Chiral Crossover Line from Lee-Yang Edge Singularities. https://arxiv.org/abs/2608.05752

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