The QCD Equation of state and critical end-point estimates at $\mathcal{O}({\mu }_B^6)$

Abstract

We present results for the QCD Equation of State at non-zero chemical potentials corresponding to the conserved charges in QCD using Taylor expansion upto sixth order in the baryon number, electric charge and strangeness chemical potentials. The latter two are constrained by the strangeness neutrality and a fixed electric charge to baryon number ratio. In our calculations, we use the Highly Improved Staggered Quarks (HISQ) discretization scheme at physical quark masses and at different values of the lattice spacings to control lattice cut-off effects. Furthermore we calculate the pressure along lines of constant energy density, which serve as proxies for the freeze-out conditions and discuss their dependence on ${\mu }_B$ , which is necessary for hydrodynamic modelling near freezeout. We also provide an estimate of the radius of convergence of the Taylor series from the 6th order coefficients which provides a new constraint on the location of the critical end-point in the T-${\mu }_B$ plane of the QCD phase diagram.

4 pages, 5 figures, Proceedings of Quark Matter 2017

References in corpus (6)

• The equation of state in (2+1)-flavor QCD
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Additional Strange Hadrons from QCD Thermodynamics and Strangeness Freeze-out in Heavy Ion Collisions
• Hadron Mass Spectrum from Lattice QCD
• Divergences in the quark number susceptibility : The origin and a cure

Cited by in corpus (4)

• Status and initial physics performance studies of the MPD experiment at NICA
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Collision energy dependence of the critical end point from baryon number fluctuations in the Linear Sigma Model with quarks