Analytic structure of QCD and Yang-Lee edge singularity

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This workshop addresses one of the most fundamental challenges in theoretical and experimental nuclear physics: mapping the phase diagram of Quantum Chromodynamics (QCD) at finite temperature and baryon density with the particular focus on locating the predicted critical endpoint where the smooth crossover transitions becomes a first-order phase transition.  A recent analysis of finite temperature lattice QCD data has provided promising estimates on the location of the critical point. This analysis builds upon our improved understanding of the QCD analytic structure in the plane of complex chemical potential, with the Yang Lee edge singularity serving as a key reference point. The prediction of the QCD critical point position involved tracing and extrapolating the trajectory of the Yang-Lee singularities as a function of temperature. This workshop brings together the lattice QCD and pure theory communities to critically evaluate the reliability of this analysis and develop a strategy to minimize systematic errors in determining the position of the QCD critical point.

The key topics of the workshop are:

• Analytical structure of QCD equation of state
• QCD Yang-Lee edge (YLE) singularity
• Locating QCD critical point from extrapolating YLE trajectories
• Analytic continuation of Taylor and Fourier series
• Universal equation of state and universal location of YLE