The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density

Abstract

We present numerical results for the location of the chiral critical line at finite temperature and zero and non-zero baryon density for QCD with N_f=2+1 flavours of staggered fermions on lattices with temporal extent N_t=4. For degenerate quark masses, we compare our results obtained with the exact RHMC algorithm with earlier, inexact R-algorithm results and find a reduction of 25% in the critical quark mass, for which the first order phase transition changes to a smooth crossover. Extending our analysis to non-degenerate quark masses, we map out the chiral critical line up to the neighbourhood of the physical point, which we confirm to be in the crossover region. Our data are consistent with a tricritical point at a strange quark mass of ~500 MeV. Finally, we investigate the shift of the critical line with finite baryon density, by simulating with an imaginary chemical potential for which there is no sign problem. We observe this shift to be very small or, conversely, the critical endpoint μ^c(m_{u,d},m_s) to be extremely quark mass sensitive. Moreover, the sign of this shift is opposite to standard expectations. If confirmed on a finer lattice, it implies the absence of a critical endpoint or phase transition for chemical potentials μ_B < 500 MeV. We thus argue that finer lattices are required to settle even the qualitative features of the QCD phase diagram.

25 pages, 12 figures; typos corrected, figures updated, some reformulations; version to be published

References in corpus (6)

• Breakdown of staggered fermions at nonzero chemical potential
• Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks
• Resummed one-loop determination of the phase boundary of the SU(3)_R x SU(3)_L linear sigma model in the m_pi-m_K-plane
• Algorithm Shootout: R versus RHMC
• Searching for the elusive critical endpoint at finite temperature and isospin density
• Chiral phase transition in effective models of QCD

Cited by in corpus (184)

• Phases of Dense Quarks at Large N_c
• The Phase Structure of the Polyakov--Quark-Meson Model
• QCD and strongly coupled gauge theories: challenges and perspectives
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Lightest sterile neutrino abundance within the nuMSM
• QCD at finite chemical potential with six time slices
• Canonical partition function and finite density phase transition in lattice QCD
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Chiral magnetic effect in the PNJL model
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Phase diagram and critical endpoint for strongly-interacting quarks
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• The three-flavor chiral phase structure in hot and dense QCD matter
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• The QCD equation of state from the lattice
• The QCD deconfinement transition for heavy quarks and all baryon chemical potentials
• Quarkyonic Matter and Chiral Symmetry Breaking
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• Phase Structure in a Dynamical Soft-Wall Holographic QCD Model
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
• QCD Thermodynamics from the Lattice
• On the order of the QCD chiral phase transition for different numbers of quark flavours
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Existence of the critical endpoint in the vector meson extended linear sigma model
• A holographic model for QCD in the Veneziano limit at finite temperature and density
• Critical surface in hot and dense QCD with the vector interaction
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• The QCD Phase Boundary from Quark-Gluon Dynamics
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• On the existence of the critical point in finite density lattice QCD
• Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• On the Phase Structure of QCD in a Finite Volume
• Phase diagram and surface tension in the three-flavor Polyakov-quark-meson model
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Finite-Density Monte Carlo Calculations on Sign-Optimized Manifolds
• Equation of state of hadron resonance gas and the phase diagram of strongly interacting matter
• Early collective expansion: Relativistic hydrodynamics and the transport properties of QCD matter
• Analytic continuation of the critical line: suggestions for QCD
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Universality of Phases in QCD and QCD-like Theories
• QCD Critical Point in a Quasiparticle Model
• On the critical line of 2+1 flavor QCD
• Realization of chiral symmetry breaking and restoration in holographic QCD
• Deep Learning Beyond Lefschetz Thimbles
• Lattice QCD at finite temperature and density
• Chiral Phase Transition in the Soft-Wall Model of AdS/QCD
• The Roberge-Weiss endpoint in N_f = 2 QCD
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD
• Complex Langevin dynamics at finite chemical potential: mean field analysis in the relativistic Bose gas
• On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential
• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Thermodynamics of (2+1)-flavor strongly interacting matter at nonzero isospin
• Effects of a phase transition on HBT correlations in an integrated Boltzmann+Hydrodynamics approach
• Fermions at Finite Density in (2+1)d with Sign-Optimized Manifolds
• Chiral Transition Within Effective Quark Models Under Magnetic Fields
• Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential
• Mass sensitivity of the three-flavor chiral phase transition
• Thermodynamics of the QCD transition from lattice
• The nature of the Roberge-Weiss transition in $N_f=2$ QCD with Wilson fermions
• A QCD chiral critical point at small chemical potential: is it there or not?
• Strange hadron production in heavy ion collisions from SPS to RHIC
• Critical endpoint of finite temperature phase transition for three flavor QCD
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Chiral phase transition of QCD with $N_f=2+1$ flavors from holography
• Nature of the phase transition for finite temperature $N_{\mathrm{f}}=3$ QCD with nonperturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=12$
• End Point of a First-Order Phase Transition in Many-Flavor Lattice QCD at Finite Temperature and Density
• Quark Matter in a Strong Magnetic Background
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Multiple Critical Points in Effective Quark Models
• A Random Matrix Study of the QCD Sign Problem
• Histograms in heavy-quark QCD at finite temperature and density
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Hadronic Fluctuations and Correlations
• Critical exponents of finite temperature chiral phase transition in soft-wall AdS/QCD models
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• The phase diagram of QCD with four degenerate quarks
• Anomaly matching in QCD thermal phase transition
• Criticality of the net-baryon number probability distribution at finite density
• Thermodynamics of strong-interaction matter from Lattice QCD
• Universal aspects of the phase diagram of QCD with heavy quarks
• Critical point phase transition for finite temperature 3-flavor QCD with non-perturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=10$
• Finite Volume Phases of Large N Gauge Theories with Massive Adjoint Fermions
• Effects of anomalous magnetic moment of quarks on the dilepton production from hot and dense magnetized quark matter using the NJL model
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• End point of the first-order phase transition of QCD in the heavy quark region by reweighting from quenched QCD
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Hadron-quark phase transition in asymmetric matter with boson condensation
• Holographic Roberge-Weiss Transitions
• Effects of the anomaly on the two-flavor QCD chiral phase transition
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• The nature of the finite temperature QCD transition as a function of the quark masses
• Finite-size scaling around the critical point in the heavy quark region of QCD
• Towards the chiral phase transition in the Roberge-Weiss plane
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Zero-temperature equation of state of mass-imbalanced resonant Fermi gases
• The QCD chiral phase transition from non-integer numbers of flavors
• Imaginary polarization as a way to surmount the sign problem in ab initio calculations of spin-imbalanced Fermi gases
• The Roberge-Weiss transition and 't Hooft loops
• Thermal properties of light mesons from holography
• The effect of stout smearing on the phase diagram from multiparameter reweigthing in lattice QCD
• Phase structure of hot dense QCD by a histogram method
• Nature of the Roberge-Weiss transition end points in two-flavor lattice QCD with Wilson quarks
• Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD
• Chiral phase transition at finite chemical potential in 2+1-flavor soft-wall AdS/QCD
• Lattice QCD Thermodynamics on the Grid
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Mean field approach to flavor susceptibilities with a vector interaction
• Landau-Ginzburg-Wilson approach to critical phenomena in the presence of gauge symmetries
• Anisotropic pressure of magnetized quark matter with anomalous magnetic moment
• Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model
• QCD phase diagram with 2-flavor lattice fermion formulations
• A Hybrid Model for QCD Deconfining Phase Boundary
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Nature of Roberge-Weiss transition end points for heavy quarks in $N_f=2$ lattice QCD with Wilson fermions
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Constraining the equation of state with identified particle spectra
• Strange mass dependence of the tricritical point in the U(3)_L x U(3)_R chiral sigma model
• Chiral Composite Asymmetric Dark Matter
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• The QCD Phase Diagram from Chiral Approaches
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Perturbative Removal of a Sign Problem
• The Sign Problem via Imaginary Chemical Potential
• Dynamics near QCD critical point by dynamic renormalization group
• Phases and properties of quark matter
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• "Invisible" QCD axion rolling through the QCD phase transition
• One dimensional hydrodynamical model including phase transition
• Lattice QCD at Finite Density
• Quark-hadron phase transition in Brans-Dicke brane gravity
• QCD thermodynamics on the lattice
• Update on Nf=3 finite temperature QCD phase structure with Wilson-Clover fermion action
• Towards the chiral critical surface of QCD
• Semidefinite Programs at Finite Fermion Density
• Curvature of the critical line on the plane of quark chemical potential and pseudo scalar meson mass for three-flavor QCD
• Towards corrections to the strong coupling limit of staggered lattice QCD
• Towards a controlled study of the QCD critical point
• Critical endline of the finite temperature phase transition for 2+1 flavor QCD around the SU(3)-flavor symmetric point
• Deep Learning of Fermion Sign Fluctuations
• Light quarks at finite temperature: chiral restoration and the fate of the $U(1{)}_A$ symmetry
• Chiral restoration at finite temperature with meson loop corrections
• On the effective lagrangian at nonzero isospin chemical potential
• Exploring the QCD phase diagram
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Particle Production at the SPS and the QCD Phase Diagram
• Model analysis on thermal UV-cutoff effects on the critical boundary in hot QCD
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Dense nucleonic matter and the renormalization group
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Revisiting strong coupling QCD at finite temperature and baryon density
• Phase Quenched Lattice QCD at Finite Density and Temperature
• Recent Result in QCD Thermodynamics from the Lattice
• Recovering the chiral critical end-point via delocalization of quark interactions
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model
• A chiral random matrix model with 2+1 flavors at finite temperature and density
• Analytic continuation in two-color QCD: new results on the critical line
• Lattice QCD at finite density: imaginary chemical potential
• Toward Identifying the QCD Critical Point: attenuation of the sound mode around the critical point
• Baryon octet and decuplet phenomenology in a three-flavor extended linear sigma model
• HBT radii : Comparative studies on collision systems and beam energies
• Quark-hadron phase transition in massive gravity
• Collective excitations in the hot QCD medium and the propagation of Heavy Quarks
• Long-range correlation studies at the SPS energies in MC model with string fusion
• On the nature of the QCD chiral phase transition with imaginary chemical potential
• Constraints for the QCD phase diagram from imaginary chemical potential
• Analytic continuation in QCD-like theories at finite density and finite isospin