Critical line of 2+1 flavor QCD: Toward the continuum limit

Abstract

We determine the continuum limit of the curvature of the pseudocritical line of QCD with $n_f$=2+1 staggered fermions at nonzero temperature and quark density. We perform Monte Carlo simulations at imaginary baryon chemical potentials, adopting the HISQ/tree action discretization, as implemented in the code by the MILC collaboration. Couplings are adjusted so as to move on a line of constant physics, as determined in Ref.~\cite{Bazavov:2011nk}, with the strange quark mass $m_s$ fixed at its physical value and a light-to-strange mass ratio $m_l/m_s=1/20$. The chemical potential is set at the same value for the three quark species, ${\mu }_l={\mu }_s\equiv \mu$. We attempt an extrapolation to the continuum using the results on lattices with temporal size up to $L_t=12$. Our estimate for the continuum value of the curvature $\kappa$ at zero baryon density, $\kappa =0.020(4)$, is compared with recent lattice results and with experimental determinations of the freeze-out curve.

10 pages, 4 figures, 16 tables; modified title and abstract, added two tables and a few comments in the text, added appendix with 13 tables; version to appear on Phys. Rev. D

References in corpus (17)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The equation of state in (2+1)-flavor QCD
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• The QCD phase diagram at nonzero quark density
• Freeze-out conditions from net-proton and net-charge fluctuations at RHIC
• Scaling studies of QCD with the dynamical HISQ action
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Finite density QCD with a canonical approach
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• Analytic continuation of the critical line: suggestions for QCD
• On the critical line of 2+1 flavor QCD
• Curvature of the chiral pseudo-critical line in QCD
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• How to get from imaginary to real chemical potential

Cited by in corpus (58)

• Chiral crossover in QCD at zero and non-zero chemical potentials
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The QCD crossover at finite chemical potential from lattice simulations
• Higher order fluctuations and correlations of conserved charges from lattice QCD
• Skewness, kurtosis and the 5th and 6th order cumulants of net baryon-number distributions from lattice QCD confront high-statistics STAR data
• Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Existence of the critical endpoint in the vector meson extended linear sigma model
• Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Off-diagonal correlators of conserved charges from lattice QCD and how to relate them to experiment
• Hadronization conditions in relativistic nuclear collisions and the QCD pseudo-critical line
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Radius of convergence in lattice QCD at finite ${\mu }_B$ with rooted staggered fermions
• Reliable estimation of the radius of convergence in finite density QCD
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• The phase structure of QCD
• Lattice simulations of the QCD chiral transition at real baryon density
• High-Temperature QCD: theory overview
• Anomaly matching in QCD thermal phase transition
• Chiral spin symmetry and the QCD phase diagram
• Impact of resonance decays on critical point signals in net-proton fluctuations
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• Equation of state of a hot-and-dense quark gluon plasma: lattice simulations at real ${\mu }_B$ vs. extrapolations
• Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD
• The effect of stout smearing on the phase diagram from multiparameter reweigthing in lattice QCD
• Chiral spin symmetry and hot/dense QCD
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• NNLO HTLpt predictions for the curvature of the QCD phase transition line
• Topological deconfinement transition in QCD at finite isospin density
• Density of States FFA analysis of SU(3) lattice gauge theory at a finite density of color sources
• On the critical end point in a two-flavor linear sigma model coupled to quarks
• Hard Thermal Loop -- theory and applications
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Towards the QCD phase diagram from analytical continuation
• Lattice QCD: bulk and transport properties of QCD matter
• Extension to Imaginary Chemical Potential in a Holographic Model
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Topological features of the deconfinement transition
• The BEST framework for the search for the QCD critical point and the chiral magnetic effect
• Net-proton number fluctuations in the presence of the QCD critical point
• The curvature of the chiral pseudocritical line from LQCD: analytic continuation and Taylor expansion compared
• Lattice QCD results on soft and hard probes of strongly interacting matter
• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas
• QCD at finite chemical potential in and out-of equilibrium
• QCD phase diagram from the gluon propagator at finite temperature and density
• Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
• The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions
• Transport properties and equation-of-state of hot and dense QGP matter near the critical end-point in the phenomenological dynamical quasi-particle model
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• Curvature of the pseudocritical line in (2+1)-flavor QCD with HISQ fermions
• Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram
• Flavored aspects of QCD thermodynamics from Lattice QCD