The Surface Tension of Quark Matter in a Geometrical Approach

Abstract

The surface tension of quark matter plays a crucial role for the possibility of quark matter nucleation during the formation of compact stellar objects, because it determines the nucleation rate and the associated critical size. However, this quantity is not well known and the theoretical estimates fall within a wide range, ${\gamma }_0\approx 5-300MeV/f{m}^2$. We show here that once the equation of state is available one may use a geometrical approach to obtain a numerical value for the surface tension that is consistent with the model approximations adopted. We illustrate this method within the two-flavor linear σmodel and the Nambu--Jona-Lasinio model with two and three flavors. Treating these models in the mean-field approximation, we find ${\gamma }_0\approx 7-30MeV/f{m}^2$. Such a relatively small surface tension would favor the formation of quark stars and may thus have significant astrophysical implications. We also investigate how the surface tension decreases towards zero as the temperature is raised from zero to its critical value.

References in corpus (11)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD transition temperature: results with physical masses in the continuum limit
• Signals of the QCD phase transition in core-collapse supernovae
• Droplets in the cold and dense linear sigma model with quarks
• Phase transition dynamics for baryon-dense matter
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Chiral phase transition in the presence of spinodal decomposition
• Thermodynamics and Phase Structure of the Two-Flavor Nambu--Jona-Lasinio Model Beyond Large-N_c
• Multiple Critical Points in Effective Quark Models
• Nonperturbative Yukawa theory at finite density and temperature
• Perturbative Yukawa theory at finite density: the role of masses and renormalization group flow at two loops

Cited by in corpus (76)

• Generic conditions for stable hybrid stars
• Inhomogeneous chiral condensates
• Maximum elastic deformations of relativistic stars
• Compact stars with sequential QCD phase transitions
• Constraining and applying a generic high-density equation of state
• Finite-size effects at the hadron-quark transition and heavy hybrid stars
• Hybrid stars in the light of GW170817
• Surface tension and curvature energy of quark matter in the NJL model
• Non-congruence of the nuclear liquid-gas and deconfinement phase transitions
• Phase diagram and surface tension in the three-flavor Polyakov-quark-meson model
• The Constant-Sound-Speed parameterization for NJL models of quark matter in hybrid stars
• Characteristics of hybrid compact stars with a sharp hadron-quark interface
• Phase transitions in neutron stars and their links to gravitational waves
• Constraining strangeness in dense matter with GW170817
• Surface tension of dense matter at the chiral phase transition
• Non-equilibrium phase transition in relativistic nuclear collisions: Importance of the equation of state
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Chiral Transition Within Effective Quark Models Under Magnetic Fields
• Finite-size effects on the hadron-quark phase transition in neutron stars
• Interface Tension and Interface Entropy in 2+1 Flavour Nambu-Jona-Lasino Model
• Nuclear symmetry energy and hadron-quark mixed phase in neutron stars
• The Surface Tension of Magnetized Quark Matter
• Surface tension of highly magnetized degenerate quark matter
• Probing up-down quark matter via gravitational waves
• Surface tension of hot and dense quark matter under strong magnetic fields
• Constraining quark-hadron interface tension in the multi-messenger era
• Formation of hybrid stars from metastable hadronic stars
• Systematic study on the quark-hadron mixed phase in compact stars
• The influence of a repulsive vector coupling in magnetized quark matter
• Hadron-quark mixed phase in the quark-meson coupling model
• Quantum nucleation of up-down quark matter and astrophysical implications
• Nucleating quark droplets in the core of magnetars
• Vector interactions inhibit quark-hadron mixed phases in neutron stars
• Hybrid stars with sequential phase transitions: the emergence of the g${}_2$ mode
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Discussions on the crossover property within the Nambu--Jona-Lasinio model
• Neutrino emissivity in the quark-hadron mixed phase of neutron stars
• Phase Transitions in Neutron Stars
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• Chiral pasta
• Neutron stars: from the inner crust to the core with the (Extended) Nambu-Jona-Lasinio model
• Thermal evolution of hybrid stars within the framework of a nonlocal Nambu--Jona-Lasinio model
• Hadron matter in neutron stars in view of gravitational wave observations
• Interface effects of strange quark matter with density dependent quark masses
• Quark Deconfinement in Rotating Neutron Stars
• Modelling Hybrid Stars in Quark-Hadron Approaches
• Shear oscillations in the hadron-quark mixed phase
• Bubble dynamics and the quark-hadron phase transition in nuclear collisions
• Phase structure of cold magnetized quark matter within the SU(3) NJL model
• Spinodal Instabilities of Baryon-Rich Quark-gluon Plasma in the PNJL Model
• Massive Neutron Stars with a Color Superconducting Quark Matter Core
• Isentropic evolution of the matter in heavy-ion collisions and the search for the critical endpoint
• Pasta phases within the QMC model
• Interface effects of quark matter: Light-quark nuggets and compact stars
• Quark-hadron pasta phase in neutron stars: the role of medium-dependent surface and curvature tensions
• SU(3) parity doubling in cold neutron star matter
• Self-bound quark matter in the NJL model revisited: from schematic droplets to domain-wall solitons
• Multifragmentation model for the production of astrophysical strangelets
• Bubble dynamics in a strong first-order quark-hadron transition
• Hybrid Stars with Hyperons and Strange Quark Matter
• Hybrid Stars in the Framework of different NJL Models
• Interface effects of strange quark matter
• Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons
• Lepton-rich cold QCD matter in protoneutron stars
• Domain Growth in Chiral Phase Transitions: Inertial Dynamics
• Medium effect on anisotropic surface tension of magnetized quark matter
• Strangelets at finite temperature: nucleon emission rates, interface and shell effects
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
• Kinetics of Phase Transitions in Quark Matter
• Deconfinement to Quark Matter in Magnetars
• Physical properties of Polyakov loop geometrical clusters in SU(2) gluodynamics
• Bubble dynamics in the Polyakov quark-meson model
• How Neutron Star Observations Point Towards Exotic Matter: Existing Explanations and a Prospective Proposal
• Interacting quark matter effects on the structure of compact stars
• Compact dwarfs made of light-quark nuggets
• Multicomponent Superfluids and Superconductors in Dense Nuclear and Quark Matter