On the critical line of 2+1 flavor QCD

Abstract

We determine the curvature of the (pseudo)critical line of QCD with $n_f$=2+1 staggered fermions at nonzero temperature and quark density, by analytic continuation from imaginary chemical potentials. Monte Carlo simulations are performed adopting the HISQ/tree action discretization, as implemented in the code by the MILC collaboration, suitably modified to include a nonzero imaginary baryon chemical potential. We work on a line of constant physics, as determined in Ref.\cite{Bazavov:2011nk}, adjusting the couplings so as to keep the strange quark mass $m_s$ fixed at its physical value, with a light to strange mass ratio $m_l/m_s=1/20$. In the present investigation we set the chemical potential at the same value for the three quark species, ${\mu }_l={\mu }_s\equiv \mu$. We explore lattices of different spatial extensions, $16^3\times 6$ and $24^3\times 6$, to check for finite size effects, and present results on a $32^3\times 8$ lattice, to check for finite cut-off effects. We discuss our results for the curvature $\kappa$ of the critical line at $\mu =0$, which indicate $\kappa =0.018(4)$, and compare them with previous lattice determinations by alternative methods and with experimental determinations of the freeze-out curve.

6 pages, 4 figures, 1 table

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• Reliable estimation of the radius of convergence in finite density QCD
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• Lattice simulations of the QCD chiral transition at real baryon density
• Anomaly matching in QCD thermal phase transition
• Thermodynamics of strong-interaction matter from Lattice QCD
• Equation of state of a hot-and-dense quark gluon plasma: lattice simulations at real ${\mu }_B$ vs. extrapolations
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• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram