Critical point of QCD at finite T and μ, lattice results for physical quark masses

Abstract

A critical point (E) is expected in QCD on the temperature (T) versus baryonic chemical potential (μ) plane. Using a recently proposed lattice method for μ\neq 0 we study dynamical QCD with n_f=2+1 staggered quarks of physical masses on L_t=4 lattices. Our result for the critical point is T_E=162 \pm 2 MeV and μ_E= 360 \pm 40 MeV. For the critical temperature at μ=0 we obtained T_c=164 \pm 2 MeV. This work extends our previous study [Z. Fodor and S.D.Katz, JHEP 0203 (2002) 014] by two means. It decreases the light quark masses (m_{u,d}) by a factor of three down to their physical values. Furthermore, in order to approach the thermodynamical limit we increase our largest volume by a factor of three. As expected, decreasing m_{u,d} decreased μ_E. Note, that the continuum extrapolation is still missing

10 pages, 2 figures

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• Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Density fluctuations and chiral phase transition
• Experimental results on charge fluctuations in heavy-ion collisions
• Hydrodynamic results on multiplicity fluctuations in heavy-ion collisions
• Gravitational waves from supercooled phase transitions in conformal Majoron models of neutrino mass
• Generalized nonlinear Langevin equation from quantum nonlinear projection operator
• Dynamical spectral structure of density fluctuation near QCD critical point
• Viscosity of a net-baryon fluid near the QCD critical point
• Correlations of conserved number mixed susceptibilities in a hadron resonance gas model
• Effect of correlations on cumulants in heavy-ion collisions
• Sensitivity of predictions in an effective model -- application to the chiral critical end point position in the Nambu--Jona-Lasinio model
• Chiral phase transition with mixing between scalar quarkonium and tetraquark
• Effects of the Detection Efficiency on Multiplicity Distributions
• Non extremal geometries and holographic phase transitions
• Viscosity and thermal conductivity effects at first-order phase transitions in heavy-ion collisions
• Particle Production at the SPS and the QCD Phase Diagram
• Rapidity correlations of protons from a fragmented fireball
• Critical Opalescence: An Optical Signature for a QCD Critical Point
• Dileptons in Heavy-Ion Collisions
• Embedded monopoles in quark eigenmodes in SU(2) Yang-Mills Theory
• Baryon number and strangeness: signals of a deconfined antecedent
• Hadron production in ultra-relativistic nuclear collisions and the QCD phase boundary
• Relativistic Nuclear Collisions and the QCD Phase Boundary
• Chemical potentials of light flavor quarks from yield ratios of negative to positive particles in Au+Au collisions at RHIC
• Bose-Einstein or HBT correlation signature of a second order QCD phase transition
• Neutron density fluctuation and neutron-proton correlation from AMPT model
• The Fluctuations of the Quark Number and of the Chiral Condensate
• QCD phase diagram and charge fluctuations
• Information theoretical view of QCD effective model with heavy quarks
• System size and energy dependence of the mean transverse momentum fluctuations at the LHC
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Onset of Deconfinement and Critical Point - Future Ion Program at the CERN SPS
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Total, inelastic and (quasi-)elastic cross sections of high energy pA and gamma-A reactions with the dipole formalism
• Lattice QCD and dense quark matter
• Quantum simulation of the phase transition of the massive Thirring model
• Deconfinement to Quark Matter in Magnetars
• Model analysis of thermal UV-cutoff effects on the chiral critical surface at finite temperature and chemical potential
• Fluctuations of Conserved Quantities in High Energy Nuclear Collisions at RHIC
• Pseudorapidity Window Size Dependence of Multiplicity Fluctuations in High-Energy Collisions with System Size and Beam Energies
• Recent Result in QCD Thermodynamics from the Lattice
• Relativistic fluid dynamics in heavy ion collisions
• Evolution of elliptic and triangular flow as a function of beam energy in a hybrid model
• Confinement and the quark Fermi-surface in SU(2N) QCD-like theories
• Phase Quenched Lattice QCD at Finite Density and Temperature
• Energy dependence of fluctuations in p+p and Be+Be collisions from NA61/SHINE
• Recent results from NA61/SHINE
• 3-flavour lattice QCD at finite density and temperature: QCD at finite isospin density revisited
• QCD critical point: a historical perspective
• Effects of causality on the fluidity and viscous horizon of quark-gluon plasma
• Color superconductivity in ultra-dense quark matter
• Constituent Quark Scaling of Strangeness Enhancement in Heavy-Ion Collisions
• Recent theoretical developments on QCD matter at finite temperature and density
• Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates
• Role of slow, out-of-equilibrium modes on the dynamic structure factor near the QCD critical point
• Study of strange quark density fluctuations in Au+Au Collisions at $\sqrt{s_{NN}}$ = 7.7-200 GeV from AMPT Model
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD
• A hadron-quark hybrid model reliable for the EoS in ${\mu }_B\le 400$ MeV
• Soft-hard factorization of heavy-quark transport in QCD matter at finite chemical potential
• Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
• The curvature of the QCD phase transition line
• Correlation of density fluctuation in a magnetized QCD matter near the critical end point
• Lattice QCD at finite density: imaginary chemical potential
• Statistical Ensembles With Finite Bath: A Description for an Event Generator
• Exploring the QCD phase diagram through relativistic heavy ion collisions
• Exploring percolation phase transition in the three-dimensional Ising model with machine learning
• Jet physics in ALICE
• Condensation of Lee-Yang zeros in scalar field theory
• The effects of the QCD critical point on the spectra and flow coefficients of hadrons
• A new way of determining the Lattice QCD equation of state at a finite chemical potential
• Identifying weak critical fluctuations of intermittency in heavy-ion collisions with topological machine learning
• NA61/SHINE ion program
• Methods to study event-by-event fluctuations in the NA61/SHINE experiment at the CERN SPS
• New results from fluctuation analysis in NA49 at the CERN SPS
• The Old New Frontier: Studying the CERN-SPS Energy Range with NA61/SHINE
• Some exact results on the QCD critical point
• Recent results from NA61/SHINE and NA49
• Grand Canonical Potential for a Static Quark-Antiquark Pair at finite chemical potential
• Strangeness and the discovery of quark-gluon plasma
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• Split of the pseudo-critical temperatures of chiral and confine/deconfine transitions by temperature gradient
• Beam energy dependence of transverse momentum distribution and elliptic flow in Au-Au collisions using HYDJET++ model
• Lepton interferometry in relativistic heavy ion collisions - a case study
• High cumulants of conserved charges and their statistical uncertainties
• Duality of thermal and dynamical descriptions in particle interactions
• Effect of Chiral Symmetry Restoration on Pentaquark ${\Theta }^{+}$ Mass and Width at Finite Temperature and Density
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Investigation of the Spectator Effect on Light Nuclei Production in Nucleus-Nucleus Collisions at High Baryon Density Region
• Periodicity, Thermal Effects, and Vacuum Force: Rotation in Random Classical Zero-Point Radiation
• AdS/CFT aspects of the cosmological QCD phase transition
• A global description of heavy-ion collisions
• Particle spectra in the integrated hydrokinetic model at RHIC Beam-Energy-Scan energies
• Event-by-event Particle Yield Ratio Fluctuations in the CBM and NA49 Experiments
• The boundary of the first order chiral phase transition in the m_pi-m_K--plane with a linear sigma model
• A study of meson condensation and of the QCD critical line
• Summary of theoretical contributions
• Recent results from the NA61/SHINE strong interaction physics programme
• Dense baryonic matter in strong coupling lattice gauge theory
• Long-range correlation studies at the SPS energies in MC model with string fusion
• Strangeness and thresholds of phase changes in relativistic heavy ion collisions
• Phase transitions in quark matter and behaviour of physical observables in the vicinity of the critical end point
• Exact Chiral Invariance at Finite Density on Lattice
• Structure and Cooling of Neutron and Hybrid Stars
• Critical temperature in QCD with two flavors of dynamical quarks
• Identified charged hadron production in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 54.4 GeV with the STAR detector