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arXiv · 2312.06952

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

Gokce Basar
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Abstract

We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential ($\mu_B$) plane for different values of the temperature by using the recent lattice results for the Taylor expansion coefficients up to eighth order in $\mu_B$ 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 \approx 100$ MeV, $\mu_c \approx 580$ MeV. We also estimate the crossover slope at the critical point to be $\alpha_1 \approx 9^\circ$ and further constrain the non-universal mapping parameters between the three dimensional Ising model and QCD equations of state.

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Gokce Basar. 2023-12-12. On the QCD critical point, Lee-Yang edge singularities and Pade resummations. https://arxiv.org/abs/2312.06952

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