The QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations

Details The QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations The QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations

2004-12-22

arxiv.org/abs/hep-ph/0412336v4

Phys.Rev. D71 (2005) 054502

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 8 eps figures

Scientific paper

10.1103/PhysRevD.71.054502

We compare the lattice results on QCD phase diagram for two and three flavors with the hadron resonance gas model (HRGM) calculations. Lines of constant energy density $\epsilon$ have been determined at different baryo-chemical potentials $\mu_B$. For the strangeness chemical potentials $\mu_S$, we use two models. In one model, we explicitly set $\mu_S=0$ for all temperatures and baryo-chemical potentials. This assignment is used in lattice calculations. In the other model, $\mu_S$ is calculated in dependence on $T$ and $\mu_B$ according to the condition of vanishing strangeness. We also derive an analytical expression for the dependence of $T_c$ on $\mu_B/T$ by applying Taylor expansion of $\epsilon$. In both cases, we compare HRGM results on $T_c-\mu_B$ diagram with the lattice calculations. The agreement is excellent, especially when the trigonometric function of $\epsilon$ is truncated up to the same order as done in lattice simulations. For studying the efficiency of the truncated Taylor expansion, we calculate the radius of convergence. For zero- and second-order radii, the agreement with lattice is convincing. Furthermore, we make predictions for QCD phase diagram for non-truncated expressions and physical masses. These predictions are to be confirmed by heavy-ion experiments and future lattice calculations with very small lattice spacing and physical quark masses.

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