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

2004/12/31 by Abdel Nasser Tawfik, A. Tawfik · 2 citations
Physics and Astronomy · #Diffraction #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice constant #Lattice field theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Phase (matter) #Phase diagram #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Strangeness #hep-ph

paper · pdf · doi:10.1103/physrevd.71.054502

published as Phys.Rev. D71 (2005) 054502 · 25 pages, 8 eps figures

arxiv created 2005/02/19 · openalex publication_date 2005/03/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 ϵ have been determined at different baryo-chemical potentials \ensuremathμ_B. For the strangeness chemical potentials \ensuremathμ_S, we use two models. In one model, we explicitly set \ensuremathμ_S=0 for all temperatures and baryo-chemical potentials. This assignment is used in lattice calculations. In the other model, \ensuremathμ_S is calculated in dependence on T and \ensuremathμ_B according to the condition of vanishing strangeness. We also derive an analytical expression for the dependence of T_c on \ensuremathμ_B/T by applying Taylor expansion of ϵ. In both cases, we compare HRGM results on T_c\ensuremath-\ensuremathμ_B diagram with the lattice calculations. The agreement is excellent, especially when the trigonometric function of ϵ 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 nontruncated 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.

Citations

• Quark mass and flavour dependence of the QCD phase transition
• Critical point of QCD at finite T and , lattice results for physical quark masses
• Thermodynamics at non-zero baryon number density: a comparison of lattice and hadron resonance gas model calculations
• Where is the chiral critical point in 3-flavor QCD?
• Pressure and nonlinear susceptibilities in QCD at finite chemical potentials
• Lattice QCD at Non-Zero Chemical Potential and the Resonance Gas Model
• QCD thermal phase transition in the presence of a small chemical potential

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