On the QCD critical point, Lee-Yang edge singularities and Pade resummations

2023/12/12 by Basar, Gokce · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2312.06952

Abstract

We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential (μ_B) plane for different values of the temperature by using the recent lattice results for the Taylor expansion coefficients up to eighth order in μ_B and various resummation techniques that blend in Pade expansions and conformal maps. By extrapolating from this information, we estimate for the location of the QCD critical point, T_c ≈ 100 MeV, μ_c ≈ 580 MeV. We also estimate the crossover slope at the critical point to be α₁ ≈ 9^∘ and further constrain the non-universal mapping parameters between the three dimensional Ising model and QCD equations of state.

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• Quark mass dependence of a QCD critical point and structure of the Columbia plot

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