The QCD crossover at finite chemical potential from lattice simulations

Abstract

We provide the most accurate results for the QCD transition line so far. We optimize the definition of the crossover temperature $T_c$, allowing for its very precise determination, and extrapolate from imaginary chemical potential up to real ${\mu }_B\approx 300$ MeV. The definition of $T_c$ adopted in this work is based on the observation that the chiral susceptibility as a function of the condensate is an almost universal curve at zero and imaganiary ${\mu }_B$. We obtain the parameters ${\kappa }_2=0.0153(18)$ and ${\kappa }_4=0.00032(67)$ as a continuum extrapolation based on $N_t=10,12$ and $16$ lattices with physical quark masses. We also extrapolate the peak value of the chiral susceptibility and the width of the chiral transition along the crossover line. In fact, both of these are consistent with a constant function of ${\mu }_B$. We see no sign of criticality in the explored range.

5 pages main text + 7 pages supplementary material

References in corpus (45)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The chiral and deconfinement aspects of the QCD transition
• The QCD transition temperature: results with physical masses in the continuum limit
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Hadron production in central nucleus-nucleus collisions at chemical freeze-out
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Chiral crossover in QCD at zero and non-zero chemical potentials
• Bulk Properties of the Medium Produced in Relativistic Heavy-Ion Collisions from the Beam Energy Scan Program
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• The QCD phase transition with physical-mass, chiral quarks
• High-precision scale setting in lattice QCD
• Fluctuations of conserved charges at finite temperature from lattice QCD
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• QCD at finite chemical potential with six time slices
• Fluctuations and correlations in high temperature QCD
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• The QCD phase diagram at nonzero quark density
• Freeze-out conditions from net-proton and net-charge fluctuations at RHIC
• 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
• Hadron Formation in Relativistic Nuclear Collisions and the QCD Phase Diagram
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• The QCD equation of state at finite density from analytical continuation
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• Constraining the hadronic spectrum through QCD thermodynamics on the lattice
• Diagonal and off-diagonal quark number susceptibilities at high temperatures
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations
• Hadron multiplicities and chemical freeze-out conditions in proton-proton and nucleus-nucleus collisions
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• Off-diagonal correlators of conserved charges from lattice QCD and how to relate them to experiment
• On the critical line of 2+1 flavor QCD
• Curvature of the chiral pseudo-critical line in 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
• Chiral Estimate of QCD Pseudocritical Line

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