In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.
QCD equation of state at finite baryon density with fugacity expansion
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abstract
We explore the QCD equation of state at finite baryon density through an expansion in baryon number fugacity, making use of the recent lattice data on the four leading Fourier coefficients of the expansion. A state-of-the-art description of the lattice data at both imaginary $\mu_B$ and $\mu_B = 0$ is provided by the cluster expansion model (CEM). The CEM pressure function has three temperature dependent input parameters, which we fix by parameterizing the available lattice QCD data. This results in a crossover model of the QCD equation of state at finite baryon density, which can be used in fluid dynamical simulations of heavy-ion collisions.
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Critical point signatures in the cluster expansion in fugacities
In the trivirial model, cluster expansion coefficients b_k have asymptotics b_k ~ A e^{-k μ_R/T} k^{-α} sin(...), switching behavior at the critical temperature, and fitting the first four coefficients to lattice data yields μ_R_br/T ≤ 2-3 at T > 135 MeV.