2026/08/06 by Heng-Tong Ding, Swagato Mukherjee, Peter Petreczky +1
Physics and Astronomy · #hep-lat #hep-ph #nucl-ex #nucl-th
10 pages, 2 figures
arxiv created 2026/08/06 · arxiv updated 2026/08/07
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 μB 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-μB expansion of the crossover line as input, the reconstructed curvature is consistent with existing continuum lattice-QCD results at small μB. 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.