The QCD equation of state with dynamical quarks

Abstract

The present paper concludes our investigation on the QCD equation of state with 2+1 staggered flavors and one-link stout improvement. We extend our previous study [JHEP 0601:089 (2006)] by choosing even finer lattices. Lattices with $N_t=6,8$ and 10 are used, and the continuum limit is approached by checking the results at $N_t=12$. A Symanzik improved gauge and a stout-link improved staggered fermion action is utilized. We use physical quark masses, that is, for the lightest staggered pions and kaons we fix the $m_{\pi }/f_K$ and $m_K/f_K$ ratios to their experimental values. The pressure, the interaction measure, the energy and entropy density and the speed of sound are presented as functions of the temperature in the range $\mathrm{100...1000}\text{MeV}$. We give estimates for the pion mass dependence and for the contribution of the charm quark. We compare our data to the equation of state obtained by the "hotQCD" collaboration.

Minor changes: Figure 1 added; Figure 15, Figure 17 and Table 5 changed. Accepted for publication in JHEP

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• Themodynamics for pure SU($2$) gauge theory using gradient flow
• Hybrid Fluid Models from Mutual Effective Metric Couplings
• Competition between magnetic catalysis effect and chiral rotation effect
• Hard Thermal Loop -- theory and applications
• The impact of quark masses on pQCD thermodynamics
• Systematic study of the Chiral Magnetic Effect with the AVFD model at LHC energies
• Viscous modifications to quark and gluon distribution functions in quark-gluon plasma medium
• Observables in ultrarelativistic heavy-ion collisions from two different transport approaches for the same initial conditions
• Quarkonium formation time in relativistic heavy-ion collisions
• Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
• Thermodynamics of quark-gluon plasma at finite baryon density
• Event-by-event investigation of the two-particle source function in $\sqrt{s_{{}_{\text{NN}}}}=2.76$ TeV PbPb collisions with EPOS
• A renewed look at eta' in medium
• The phase diagram of the Polyakov Nambu Jona-Lasinio approach for finite chemical potentials
• Comments on Yang-Mills thermodynamics, the Hagedorn spectrum and the gluon gas
• Impact of momentum-space anisotropy on heavy quark dynamics in a QGP medium
• QCD over $T_c$: hadrons, partons and continuum
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Flow correlations from a hydrodynamics model with dynamical freeze-out and initial conditions based on perturbative QCD and saturation
• Thermal QCD in a non-uniform magnetic background
• Constraining the equation of state with identified particle spectra
• Collective Flow of QCD Matter: a Historical Introduction
• Cosmological and Astrophysical Probes of Vacuum Energy
• Novel Scalings of Neutron Star Properties from Analyzing Dimensionless Tolman--Oppenheimer--Volkoff Equations
• Color path-integral Monte Carlo simulations of quark-gluon plasma
• Can the viscosity in astrophysical black hole accretion disks be close to its string theory bound?
• Charge-dependent anisotropic flow in high-energy heavy-ion collisions from relativistic resistive magneto-hydrodynamic expansion
• Freeze-out conditions for production of resonances, hadronic molecules, and light nuclei
• Resonance production in high energy collisions from small to big systems
• Hadronic transport coefficients from the linear sigma model at finite temperature
• The QCD equation of state with 2+1 flavors of Highly Improved Staggered Quarks (HISQ)
• Interplay Between Approximation Theory and Renormalization Group
• Localization and chiral properties near the ordering transition of an Anderson-like toy model for QCD
• QCD Equation of State at nonzero baryon density in external magnetic field
• Pion-kaon femtoscopy in Pb--Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV modeled in (3+1)D hydrodynamics coupled to Therminator 2 and the effect of delayed kaon emission
• Multiplicity fluctuations near the QCD critical point
• Elliptic Flow Suppression due to Hadron Mass Spectrum
• Can transport peak explain the low-mass enhancement of dileptons at RHIC?
• Effects of hadronic repulsive interactions on the fluctuations of conserved charges
• Estimation of the freeze-out parameters reachable in the AFTER@LHC project
• Quark-hadron phase transition in a chameleon Brans-Dicke model of brane gravity
• On electric fields in hot QCD: perturbation theory
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Accelerating hydrodynamic description of pseudorapidity density and the initial energy density in p+p, Cu+Cu, Au+Au, and Pb+Pb collisions at RHIC and LHC
• The speed of sound in QGP and SU(3) Yang-Mills theory
• Electric field induction in quark-gluon plasma due to thermoelectric effects
• Baryon-antibaryon dynamics in relativistic heavy-ion collisions
• Recent progress on QCD inputs for axion phenomenology
• Towards the QCD phase diagram from analytical continuation
• Even-by-event hydrodynamical simulations for ${\sqrt{s}}_{NN}$=200 GeV Au+Au collisions and the correlation between flow coefficients and initial asymmetry measures
• News on hadrons in a hot medium
• Transition temperature and the equation of state from lattice QCD, Wuppertal-Budapest results
• How tetraquarks can generate a second chiral phase transition
• Muon pairs from In+In collision at SPS energy
• On a first order transition in QCD with up, down and strange quarks
• Head shock vs Mach cone: azimuthal correlations from 2 to 3 parton processes in relativistic heavy-ion collisions
• Temperature dependence of transport coefficients of QCD in high-energy heavy-ion collisions
• Non-linear flow modes of identified particles in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Chiral symmetry breaking and confinement effects on dilepton and photon production around $T_c$
• Three dimensional finite temperature SU(3) gauge theory near the phase transition
• Nonperturbative quark-gluon thermodynamics at finite density
• The Chiral Separation Effect from lattice QCD at the physical point
• QCD bulk thermodynamics and conserved charge fluctuations with HISQ fermions
• Fireball tomography from bottomonia elliptic flow in relativistic heavy-ion collisions
• The half-skyrmion phase in a chiral-quark model
• Thermodynamics of the Glueball Resonance Gas
• Longitudinal Viscous Hydrodynamic Evolution for the Shattered Colour Glass Condensate
• Mott-hadron resonance gas and lattice QCD thermodynamics
• Lifetime estimations from RHIC Au+Au data
• QCD pressure: renormalization group optimized perturbation theory confronts lattice
• Fluctuating initial conditions and fluctuations in elliptic and triangular flow
• Impact of momentum anisotropy and turbulent chromo-fields on thermal particle production in quark-gluon plasma medium
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Decoupling of non-strange, strange and multi-strange particles from the system in Cu-Cu, Au-Au and Pb-Pb collisions at high energies
• The QCD equation of state and the effects of the charm
• Exploring the properties of the phases of QCD matter - research opportunities and priorities for the next decade
• Hard-thermal-loop QCD Thermodynamics
• Ordinary and exotic mesons in the extended Linear Sigma Model
• On the absence of the Chiral Magnetic Effect in equilibrium QCD
• QCD thermodynamics with continuum extrapolated dynamical overlap fermions
• Towards the quark--gluon plasma Equation of State with dynamical strange and charm quarks
• Revisiting holographic model for thermal and dense QCD with a critical point
• Jet quenching with $T$-dependent running coupling
• Covariant interacting Hadron-Resonance Gas model
• Unveiling the cosmological QCD phase transition through the eLISA/NGO detector
• Horava-Lifshitz early universe phase transition beyond detailed balance
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• Representation of spectral functions and thermodynamics
• In-medium vector mesons and low mass lepton pairs from heavy ion collisions
• Bottomonium suppression in PbPb collision at energies available at the CERN large hadron collider
• Pion interferometry at 200 GeV using anisotropic hydrodynamics
• Fluctuations and thermodynamic geometry of the chiral phase transition
• Lattice SU(3) thermodynamics and the onset of perturbative behaviour
• Evaluating Results from the Relativistic Heavy Ion Collider with Perturbative QCD and Hydrodynamics
• Quark Matter Equation of State from Perturbative QCD
• Off-diagonal Flavour Susceptibilities from AdS/CFT
• QCD at nonzero temperature and density
• QCD transition temperature: full staggered result
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• Fluctuating initial condition and smoothening effect on elliptic and triangular flow
• Radiative hadronization: Photon emission at hadronization from quark-gluon plasma
• Partonic distribution functions and amplitudes using tensor network methods
• Production of ${\mathrm{K}}_{\mathrm{S}}^0$, $\Lambda$ ($\bar{\Lambda }$), ${\Xi }^{\pm }$ and ${\Omega }^{\pm }$ in jets and in the underlying event in pp and p$-$Pb collisions
• Far-off-equilibrium expansion trajectories in the QCD phase diagram
• Hadronic Equation of State and Speed of Sound in Thermal and Dense Medium
• Baryon Resonances in a Chiral Hadronic Model for the QCD Equation of State
• Net Baryon Fluctuations from a Crossover Equation of State
• Non-zero temperature study of spin 1/2 charmed baryons using lattice gauge theory
• Elliptic and Hexadecapole flow of charged hadron in viscous hydrodynamics with Glauber and Color Glass Condensate initial conditions for Pb-Pb collision at $\sqrt{s_{NN}}$=2.76 TeV
• Particle Production in s_NN = 2.76 TeV Heavy Ion Collisions
• Implications on Cosmology from Dirac Neutrino Magnetic Moments
• Study of QCD dynamics using small systems
• Initial temperature and EoS of quark matter from direct photons
• Nonextensive hydrodynamics of boost-invariant plasmas
• Three loop HTL perturbation theory at finite temperature and chemical potential
• Center clusters in full QCD at finite temperature and background magnetic field
• Thermodynamic properties of interacting bosons with zero chemical potential
• Updated analysis of jet quenching at RHIC and LHC within the light cone path integral approach
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Fractal aspects of hadrons
• Elliptic flow and $R_{AA}$ of D mesons at FAIR comparing the UrQMD hybrid model and the coarse-graining approach
• Electromagnetic recombination spectra at the quark-hadron phase transition
• Nonlinear waves in second order conformal hydrodynamics
• Temperatures and chemical potentials at kinetic freeze-out in relativistic heavy ion collisions from coarse grained transport simulations
• The equation of state in two-, three-, and four-color QCD at non-zero temperature and density
• Nuclear and Quark Matter at High Temperature
• The signature of charge dependent directed flow observables by electromagnetic fields in heavy ion collisions
• An effective model of QCD thermodynamics
• QCD thermodynamics on the lattice
• Effective degrees of freedom in QCD thermodynamics
• Dense Quark-Gluon Plasma in strong magnetic fields
• Embedding a critical point in a hadron to quark-gluon crossover equation of state
• Possible Formation of a Perfect Fluid in $pp$, $p$-Pb, Xe-Xe and Pb-Pb Collisions at the Large Hadron Collider Energies: A Color String Percolation Approach
• Thermodynamic Geometry of the Quark-Meson Model
• Upsilon suppression at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider in a modified color screening scenario
• Microcausality in strongly interacting fields
• Renormalization group improved pressure for hot and dense quark matter
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• From QCD Symmetries to Nuclei and Neutron Stars
• Lévy walk of pions in heavy-ion collisions
• Analytical insights into the interplay of momentum, multiplicity and the speed of sound in heavy-ion collisions
• Net-charge fluctuations and balance functions at the LHC
• Hadron resonance gas EoS and the fluidity of matter produced in HIC
• QCD Phase-transition and chemical freezeout in nonzero magnetic field at NICA
• Is $K_1/K^{\ast }$ enhancement in heavy ion collisions a signature of chiral symmetry restoration?
• Towards extremely dense matter on the lattice
• Magnetization and pressures at nonzero magnetic fields in QCD
• Transport coefficients of transient hydrodynamics for the hadron-resonance gas and thermal-mass quasiparticle models
• Correspondence between the physics of extremal black holes and that of stable heavy atomic nuclei
• Developments in lattice QCD for matter at high temperature and density
• Spectral quantities in thermal QCD: a progress report from the FASTSUM collaboration
• Net-baryon multiplicity distribution consistent with lattice QCD
• Deconfinement Transition Effects on Cosmological Parameters and Primordial Gravitational Wave Spectrum
• Real-time hard-thermal-loop gluon self-energy in a semiquark-gluon plasma
• Dense Baryonic Matter and Strangeness in Neutron Stars
• Hawking radiation from acoustic black holes in relativistic heavy ion collisions
• Colormagnetic confinement in the quark-gluon thermodynamics
• Effects of initial state fluctuations on jet energy loss
• Critical point in the QCD phase diagram for extremely strong background magnetic fields
• Holographic entanglement properties in the QCD phase diagram from EMD models
• Speed of sound, breaking of conformal limit and instabilities in quark-gluon plasma at finite baryon density
• Polyakov loop spectroscopy in the confined phase of gluodynamics and QCD
• QCD phase diagram: overview of recent lattice results
• Sensitivity of predictions in an effective model -- application to the chiral critical end point position in the Nambu--Jona-Lasinio model
• Kaonic Hanbury-Brown-Twiss radii at 200 GeV and 5.02 TeV
• Kelvin-Helmholz instability in high energy heavy ion collisions
• Low-mass dilepton production through transport process in quark-gluon plasma
• Scaling properties of spectra in new exact solutions of rotating, multi-component fireball hydrodynamics
• Finite Temperature QCD on the Lattice -- Status 2010
• Heavy-Light Susceptibilities in a Strongly Coupled Quark-Gluon Plasma
• On the thermal phase structure of QCD at vanishing chemical potentials
• Hydrodynamic description of the baryon-charged quark-gluon plasma
• Numerical study of hot strongly interacting matter
• Recent results on the Equation of State of QCD
• Chiral Hadronic Mean Field Model including Quark Degrees of Freedom
• Shear and bulk viscosity of quark-gluon plasma with Gribov gluons and quasiparticle quarks
• Chiral transition and deconfinement transition in QCD with the highly improved staggered quark (HISQ) action
• Strong coupling methods in QCD thermodynamics
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• N_f=2+1 flavour equation of state
• $T$-Matrix Approach to Strongly Coupled QGP
• Comparing matching prescriptions between pre-equilibrium and hydrodynamic models in high-energy nuclear collisions
• Phenomenology of collinear photon emission from quark-gluon plasma in $AA$ collisions
• Pion Fluctuation Study in Pb-Pb Collision at 2.76 TeV per nucleon pair from ALICE Experiment with Chaos and Complex Network-based Methods
• Ultra fast, event-by-event heavy-ion simulations for next generation experiments
• Equation of state for QCD with a critical point from the 3D Ising Model
• Equation of State for QCD at finite temperature and density. Resummation versus lattice data
• Quantum mechanical model for J/psi suppression in the LHC era
• Approaching the QCD phase diagram for N_f=2+1 and N_f=2+1+1 quark flavors
• Finite size effects in the thermodynamics of a free neutral scalar field
• QCD Phase Boundary and the Hadrochemical Horizon
• Quarkonia and QGP studies
• Using the non-hydrodynamic mode to study the onset of hydrodynamic behavior in ultraperipheral symmetric nuclear collisions
• Assessing the role of the Kelvin-Helmholtz instability at the QCD cosmological phase transition
• Hierarchy of kinetic freeze-out parameters in low energy heavy-ion collisions
• Steady electric currents in magnetized QCD and their use for the equation of state
• Thermodynamical consistency of quasiparticle model at finite baryon density
• QCD at finite chemical potential in and out-of equilibrium
• Describing phase transitions in field theory by self-similar approximants
• Evidence of Coulomb liquid phase in few-electron droplets
• Bremsstrahlung photon from a hadronizing quark-gluon plasma
• Recent ALICE results on hadronic resonance production
• QCD phase transition with a power law chameleon scalar field in the bulk
• A New Phase of Matter: Quark-Gluon Plasma Beyond the Hagedorn Critical Temperature
• The Chiral Phase Transitions of Helical Matter
• Effects of equation of state on nuclear suppression and the initial entropy density of quark gluon plasma
• Dirac spectrum and the BEC-BCS crossover in QCD at nonzero isospin asymmetry
• Cavitation effects on the confinement/deconfinement transition
• Estimation of transport coefficients of dense hadronic and quark matter
• Toward a foundation model for heavy-ion collision experiments based on point-cloud diffusion
• Quark-hadron phase transition in DGP including BD brane
• Overlap between Lattice QCD and HRG with in-medium effects and parity doubling
• Constraining the hadronic spectrum and repulsive interactions in a hadron resonance gas via fluctuations of conserved charges
• Dissipative hydrodynamic effects on the quark-gluon plasma at finite baryon density
• Describing the Thermal Radiation in $Au+Au$ Collisions at $\sqrt{s_{NN}}=$200 GeV by an Analytic Solution of Relativistic Hydrodynamics
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Viscous Hydrodynamic Evolution with Non-Boost Invariant Flow for the Color Glass Condensate
• QCD at non-zero temperature and magnetic field
• Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
• Implications of a viscosity bound on black hole accretion
• Feasibility of measuring the speed of sound of the quark-gluon plasma from the multiplicity and mean $p_T$ of ultracentral heavy-ion collisions
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD
• Localized Chiral Magnetic Effect in equilibrium QCD
• Particle Production at CBM in a Thermal Model Approach
• Flow fluctuations and kinetic freeze-out of identified hadrons at energies available at the CERN Super Proton Synchrotron
• Far-from-equilibrium hydrodynamic simulations of ultrarelativistic nuclear collisions
• A random walk with heavy flavours
• Hagedorn States and Thermalization
• Radiative parton energy loss and baryon stopping in $AA$ collisions
• Relaxation Time Approximation for a multi-species relativistic gas
• Resummed lattice QCD equation of state at finite baryon density: strangeness neutrality and beyond
• QCD Thermodynamics at Intermediate Coupling
• Cosmology from Strong Interactions
• Neural network enhanced Bayesian global analysis of relativistic heavy ion collisions
• Parton-hadron dynamics in heavy-ion collisions
• Iterative Fluiddynamics
• Finite-time gradient blow-up and shock formation in Israel-Stewart theory: Bulk, shear, and diffusion regimes
• Initial energy density of p+p collisions at the LHC
• Hadronic spectrum calculations in the quark-gluon plasma
• Extracting the strangeness freeze-out temperature from net-Kaon data at RHIC
• Smooth matching of $\hat{q}$ from hadronic to quark and gluon degrees of freedom
• A description of pseudorapidity distributions of charged particles produced in Au+Au collisions at RHIC energies
• A description of the transverse momentum distributions of charged particles produced in heavy ion collisions at RHIC and LHC energies
• From pQCD to neutron stars: matching equations of state to constrain global star properties
• Properties of the Free Energy Density Using the Principle of Maximum Conformality
• Chiral transition, eigenmode localisation and Anderson-like models
• Relativistic Viscous Hydrodynamics for High Energy Heavy Ion Collisions
• Core - Corona Model analysis of the Low Energy Beam Scan at RHIC (Relativistic Heavy Ion Collider) in Brookhaven (USA)
• Dilepton creation based on an analytic hydrodynamic solution
• Correlation corrections to the thermodynamic properties of spin asymmetric QGP matter
• Nonextensive quasiparticle description of QCD matter
• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields
• Influence of magnetic fields on the color screening masses
• Effect of running coupling on photon emission from quark gluon plasma
• The Quark-Gluon Plasma Equation of State and The Generalized Uncertainty Principle
• Hydrodynamic description of direct photon spectra and elliptic flow in Pb+Pb collisions at LHC
• Conserved Charge Susceptibilities in a Chemically Frozen Hadronic Gas
• Effect of charged particle's multiplicity fluctuations on flow harmonics in even-by-event hydrodynamics
• Speed of sound of QCD matter at chiral crossover
• Soft pions and transport near the chiral critical point
• Event shape Engineering analysis of D meson in ultrarelativistic heavy ion collisions
• Equation of State from Lattice QCD Calculations
• Progress in Lattice QCD at non-zero temperature and QGP
• Lattice QCD at nonzero temperature and density
• Hot and dense matter in quark-hadron models
• The QCD Equation of State - From Nuclear Physics to Perturbation Theory
• Hagedorn States and Thermalization in Heavy Ion Collisions
• Hydrodynamics of holographic flavored plasmas
• Screening properties of quark-gluon plasma obtained from distribution and correlation functions of the constituent quasiparticle model
• Continuum EoS for QCD with Nf=2+1 flavors
• A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation
• Non-equilibrium hydrodynamics of the quark-gluon plasma