NNLO HTLpt predictions for the curvature of the QCD phase transition line

Abstract

We present predictions for the second- and fourth-order curvature coefficients of the QCD phase transition line using the NNLO HTLpt-resummed thermodynamic potential. We present three cases corresponding to (i) ${\mu }_s={\mu }_l={\mu }_B/3$, (ii) ${\mu }_s=0$, ${\mu }_l={\mu }_B/3,$ and (iii) $S=0$, $Q/B=0.4$, ${\mu }_l={\mu }_B/3$. In all three cases, we find excellent agreement with continuum extrapolated lattice QCD results for ${\kappa }_2$, given current statistical uncertainties. We also make HTLpt predictions for ${\kappa }_4$ in all three cases, finding again excellent agreement with lattice extractions of this coefficient where available.

4 pages, 2 figures, 2 tables; v2 - published version

References in corpus (17)

• The QCD crossover at finite chemical potential from lattice simulations
• The QCD phase diagram at nonzero quark density
• Freeze-out conditions from net-proton and net-charge fluctuations at RHIC
• Phase structure of three and four flavor QCD
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• QCD phase structure from functional methods
• NNLO hard-thermal-loop thermodynamics for QCD
• Three-loop HTL gluon thermodynamics at intermediate coupling
• Curvature of the chiral pseudo-critical line in QCD
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• Complex Langevin simulations and the QCD phase diagram: Recent developments
• Deconfinement transition line with the Complex Langevin equation up to $\mu /T\sim 5$
• Apparent convergence of Padé approximants for the crossover line in finite density QCD
• Three-loop HTL Free Energy for QED
• The effect of stout smearing on the phase diagram from multiparameter reweigthing in lattice QCD
• Two-loop HTL-resummed thermodynamics for N=4 supersymmetric Yang-Mills theory
• Locating the freeze-out curve in heavy-ion collisions

Cited by in corpus (12)

• 50 Years of Quantum Chromodynamics
• Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• The Present and Future of QCD
• Lattice simulations of the QCD chiral transition at real baryon density
• Equation of state of a hot-and-dense quark gluon plasma: lattice simulations at real ${\mu }_B$ vs. extrapolations
• Hard Thermal Loop -- theory and applications
• Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach
• Effects of strangeness on the chiral pseudocritical line
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• Scheme dependence of two-loop HTLpt-resummed ${\text{SYM}}_{4,4}$ thermodynamics