How perturbative QCD constrains the Equation of State at Neutron-Star densities

Abstract

We demonstrate in a general and analytic way how high-density information about the equation of state (EoS) of strongly interacting matter obtained using perturbative Quantum Chromodynamics (pQCD) constrains the same EoS at densities reachable in physical neutron stars. Our approach is based on utilizing the full information of the thermodynamic potentials at the high-density limit together with thermodynamic stability and causality. This requires considering the pressure as a function of chemical potential $p(\mu )$ instead of the commonly used pressure as a function of energy density $p(\epsilon )$. The results can be used to propagate the pQCD calculations reliable around 40$n_s$ to lower densities in the most conservative way possible. We constrain the EoS starting from only few times the nuclear saturation density $n\gtrsim 2.2n_s$ and at $n=5n_s$ we exclude at least 65% of otherwise allowed area in the $(\epsilon -p)$-plane. This provides information complementary to astrophysical observations that should be taken into account in any complete statistical inference study of the EoS. These purely theoretical results are independent of astrophysical neutron-star input, and hence, they can also be used to test theories of modified gravity and BSM physics in neutron stars.

v2: the version published in PRL. A comparison of publicly available EoSs with new constraints added to the appendix C

References in corpus (24)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Multi-messenger Observations of a Binary Neutron Star Merger
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
• Constraining the Maximum Mass of Neutron Stars From Multi-Messenger Observations of GW170817
• GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
• Neutron-star radius constraints from GW170817 and future detections
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• The Dynamics of Binary Neutron Star Mergers and of GW170817
• Multimessenger constraints for ultra-dense matter
• Soft interactions in cold quark matter
• Too massive neutron stars: The role of dark matter?
• Confronting gravitational-wave observations with modern nuclear physics constraints
• Impact of the equation-of-state -- gravity degeneracy on constraining the nuclear symmetry energy from astrophysical observables
• The Radius of PSR J0740+6620 from NICER and XMM-Newton Data
• Neutron rich matter in the laboratory and in the heavens after GW170817
• Radial oscillations of quark stars admixed with dark matter
• Neutron Stars and Dark Matter
• Maximum latent heat of neutron star matter independently of General Relativity
• All order resummed leading and next-to-leading soft modes of dense QCD pressure
• The QCD Running Coupling at Finite Temperature and Density
• Constraints on the Neutron Star Equation of State from GW170817

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• On the Sound Speed in Neutron Stars
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Strongly interacting matter exhibits deconfined behavior in massive neutron stars
• Ab-initio QCD calculations impact the inference of the neutron-star-matter equation of state
• The Science of the Einstein Telescope
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Maximum gravitational mass $M_{\mathrm{TOV}}=2.25_{-0.07}^{+0.08}{M}_{\odot }$ inferred at about $3\%$ precision with multimessenger data of neutron stars
• Bayesian analysis of neutron-star properties with parameterized equations of state: the role of the likelihood functions
• An updated nuclear-physics and multi-messenger astrophysics framework for binary neutron star mergers
• Evidence against a strong first-order phase transition in neutron star cores: impact of new data
• Inference of the sound speed and related properties of neutron stars
• A general, scale-independent description of the sound speed in neutron stars
• Gravitational Wave Signal for Quark Matter with Realistic Phase Transition
• Perturbative QCD and the Neutron Star Equation of State
• Plausible presence of new state in neutron stars with masses above $0.98M_{\mathrm{TOV}}$
• Investigating Signatures of Phase Transitions in Neutron-Star Cores
• Impact of large-mass constraints on the properties of neutron stars
• Spanning the full range of neutron star properties within a microscopic description
• Equation of State of Cold Quark Matter to $O({\alpha }_s^3\ln {\alpha }_s)$
• What neutron stars tell about the hadron-quark phase transition: a Bayesian study
• Phase Transition Phenomenology with Nonparametric Representations of the Neutron Star Equation of State
• Reconstructing the neutron star equation of state from observational data via automatic differentiation
• Dense and Hot QCD at Strong Coupling
• Constraints on strong phase transitions in neutron stars
• Bayesian uncertainty quantification of perturbative QCD input to the neutron-star equation of state
• Probing Quarkyonic Matter in Neutron Stars with the Bayesian Nuclear-Physics Multi-Messenger Astrophysics Framework
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• A model-agnostic analysis of hybrid stars with reactive interfaces
• Recovering the conformal limit of color superconducting quark matter within a confining density functional approach
• Binary neutron star mergers as a probe of quark-hadron crossover equations of state
• Nuclear and Hybrid Equations of State in Light of the Low-Mass Compact Star in HESS J1731-347
• Exploring thermal effects of the hadron-quark matter transition in neutron star mergers
• Bayesian refinement of covariant energy density functionals
• Dense Matter in Neutron Stars with eXTP
• Structure in the speed of sound: from neutron stars to heavy-ion collisions
• Constraints on Phase Transitions in Neutron Star Matter
• Effect of color superconductivity on the mass of hybrid neutron stars in an effective model with pQCD asymptotics
• Estimate for the bulk viscosity of strongly coupled quark matter using perturbative QCD and holography
• Astrophysics and Nuclear Physics Informed Interactions in Dense Matter: Inclusion of PSR J0437-4715
• Unified neutron star equations of state calibrated to nuclear properties
• Constraining the equation of state of hybrid stars using recent information from multidisciplinary physics
• Core States of Neutron Stars from Anatomizing their Scaled Structure Equations
• How the QCD trace anomaly behaves at the core of twin stars?
• Masquerading hybrid stars with dark matter
• A Bayesian study of quark models in view of recent astrophysical constraints
• Bayesian inference of the dense matter equation of state built upon extended Skyrme interactions
• The interplay of astrophysics and nuclear physics in determining the properties of neutron stars
• Pressure and speed of sound in two-flavor color-superconducting quark matter at next-to-leading order
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Holographic cold dense matter constrained by neutron stars
• Implications of latest NICER data for the neutron star equation of state
• Constraining the equation of state in neutron-star cores via the long-ringdown signal
• Analyzing the speed of sound in neutron star with machine learning
• Novel Scalings of Neutron Star Properties from Analyzing Dimensionless Tolman--Oppenheimer--Volkoff Equations
• Neural Simulation-Based Inference of the Neutron Star Equation of State directly from Telescope Spectra
• Degenerate fermionic matter at N${}^3$LO: Quantum Electrodynamics
• Hybrid stars with large quark cores within the parity doublet model and modified NJL model
• Neutron stars in the Witten-Sakai-Sugimoto model
• Nambu-Jona-Lasinio description of hadronic matter from a Bayesian approach
• Bayesian inference of strangeon matter using the measurements of PSR J0437-4715 and GW190814
• From chiral EFT to perturbative QCD: a Bayesian model mixing approach to symmetric nuclear matter
• Bayesian analysis of hybrid neutron star EOS constraints within an instantaneous nonlocal chiral quark matter model
• Towards constraining QCD phase transitions in neutron star interiors: Bayesian Inference with TOV linear response analysis
• Constraining Palatini gravity with GR-independent equations of state for neutron stars
• Phase transition and nuclear symmetry energy from neutron star observations: Constraints in light of PSR J0614--3329
• On the maximum compactness of neutron stars
• Nonparametric extensions of nuclear equations of state: probing the breakdown scale of relativistic mean-field theory
• Color superconductivity under neutron-star conditions at next-to-leading order
• Mass and radius of the most massive neutron star: The probe of the equation of state and perturbative QCD
• Bayesian Quantification of Observability and Equation of State of Twin Stars
• Unraveling Trace Anomaly of Supradense Matter via Neutron Star Compactness Scaling
• Upper Limit of Sound Speed in Nuclear Matter: A Harmonious Interplay of Transport Calculation and Perturbative Quantum Chromodynamic Constraint
• Neutron star equation of state: identifying hadronic matter characteristics
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• Direct nonparametric multimessenger constraints on the equation of state of cold dense nuclear matter
• Fundamental-mode eigenfrequencies of neutral and charged twin neutron stars
• Thermal fluctuations of matter composition and quark nucleation in compact stars
• New Insights into Supradense Matter from Dissecting Scaled Stellar Structure Equations
• Cold Quark Matter: Renormalization Group Improvement at next-to-next-to leading order
• Microscopic constraints for the equation of state and structure of neutron stars: a Bayesian model mixing framework
• Effective Field Theories for Neutron Stars Physics
• Early deconfinement of asymptotically conformal color-superconducting quark matter in neutron stars
• Astrophysical constraints on the cold equation of state of the strongly interacting matter
• Hydrodynamics of Relativistic Superheated Bubbles
• Joint Inference of Population, Cosmology, and Neutron Star Equation of State from Gravitational Waves of Dark Binary Neutron Stars
• Testing gravity with the latent heat of neutron star matter
• Approaching Stable Quark Matter
• Neutron Star Mergers and the Quark Matter Equation of State
• General gravitational properties of neutron stars: curvature invariants, binding energy, and trace anomaly
• Is The Trace Anomaly at its Minimum Value at Neutron Star Centers?
• Are NICER and GW170817 constraints suggesting a compactified scenario for Neutron stars?
• Unified nonparametric equation-of-state inference from the neutron-star crust to perturbative-QCD densities
• Toward a Unified Understanding of the Dense Matter Equation of State
• Three-dimensional equation of state extension of quark matter in Fermi-liquid theory
• Bayesian inferences on covariant density functionals from multimessenger astrophysical data: Influences of parametrizations of density dependent couplings
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling
• The maximum mass and rotational kinetic energy of rapidly rotating neutron stars
• Thermal quarks and Polyakov loops in two-color dense QCD