Thermal conductivity of dense quark matter and cooling of stars

Abstract

The thermal conductivity of the color-flavor locked phase of dense quark matter is calculated. The dominant contribution to the conductivity comes from photons and Nambu-Goldstone bosons associated with breaking of baryon number which are trapped in the quark core. Because of their very large mean free path the conductivity is also very large. The cooling of the quark core arises mostly from the heat flux across the surface of direct contact with the nuclear matter. As the thermal conductivity of the neighboring layer is also high, the whole interior of the star should be nearly isothermal. Our results imply that the cooling time of compact stars with color-flavor locked quark cores is similar to that of ordinary neutron stars.

9 pages, 1 figure, REVTeX. Minor corrections. One new reference added. To appear in Phys. Rev. C

References in corpus (29)

• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Color superconducting quark matter
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• Black Holes
• Enforced Electrical Neutrality of the Color-Flavor Locked Phase
• The Minimal CFL-Nuclear Interface
• Superconductivity from perturbative one-gluon exchange in high density quark matter
• Inverse meson mass ordering in color-flavor-locking phase of high density QCD
• High Density Quark Matter under Stress
• Absence of two-flavor color-superconductivity in compact stars
• Patterns of Symmetry Breaking in QCD at High Baryon Density
• Gaps and Critical Temperature for Color Superconductivity
• Kaon Condensation and Goldstone's Theorem
• Schwinger-Dyson Approach to Color Superconductivity in Dense QCD
• Effective Theory for Color-Flavor Locking in high Density QCD
• On the Perturbative Nature of Color Superconductivity
• Novel phases and transitions in Color Flavor Locked matter
• Inverse meson mass ordering in color-flavor-locking phase of high density QCD: erratum
• Prospects of Detecting Baryon and Quark Superfluidity from Cooling Neutron Stars
• On gap equations and color-flavor locking in cold dense QCD with three massless flavors
• Spontaneous Symmetry Breaking with Abnormal Number of Nambu-Goldstone Bosons and Kaon Condensate
• A first order transition and parity violation in a color superconductor
• Magnetic Interactions, the Renormalization Group and Color Superconductivity in High Density QCD
• Neutrino Propagation In Color Superconducting Quark Matter
• Cooling of Hybrid Neutron Stars and Hypothetical Self-bound Objects with Superconducting Quark Cores
• Photon Self-Energy in a Color Superconductor
• Diffusion of Neutrinos in Proto-Neutron Star Matter with Quarks
• The effective potential of composite diquark fields and the spectrum of resonances in dense QCD
• Collective modes of color-flavor locked phase of dense QCD at finite temperature

Cited by in corpus (61)

• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• Strange Quark Matter and Compact Stars
• The Cooling of Compact Stars
• Two lectures on color superconductivity
• Evaluating the Gapless Color-Flavor Locked Phase
• High-density QCD pairing in compact star structure
• Thermal Evolution and Light Curves of Young Bare Strange Stars
• The ground state in a spin-one color superconductor
• Baryon Asymmetry, Dark Matter and Quantum Chromodynamics
• A Hot Water Bottle for Aging Neutron Stars
• Nonstrange hybrid compact stars with color superconducting matter
• Stability of CFL cores in Hybrid Stars
• Neutrino Emission from Goldstone Modes in Dense Quark Matter
• Reaction rates and transport in neutron stars
• Anisotropic admixture in color-superconducting quark matter
• Heating (Gapless) Color-Flavor Locked Quark Matter
• Shear Viscosity in a CFL Quark Star
• Cooling of Small and Massive Hyperonic Stars
• Fireballs from Quark Stars in the CFL Phase: Application to Gamma Ray Bursters
• Self-bound CFL stars in binary systems : are they "hidden" among the black hole candidates?
• Photon Emission from Dense Quark Matter
• Bulk viscosity in 2SC quark matter
• Bulk viscosity in a cold CFL superfluid
• Bulk viscosity of spin-one color superconductors with two quark flavors
• Magnetism in Dense Quark Matter
• Viscous damping of r-mode oscillations in compact stars with quark matter
• Transport coefficients of two-flavor superconducting quark matter
• Quark core impact on hybrid star cooling
• The Birth of Quark Stars: Photon-driven Supernovae?
• Thermal Evolution of Neutron Stars in 2 Dimensions
• Bulk viscosities of a cold relativistic superfluid: color-flavor locked quark matter
• Transport theory for cold relativistic superfluids from an analogue model of gravity
• Transport coefficients of two-flavor quark matter from the Kubo formalism
• Quark matter in neutron stars
• Thermal conductivity of color-flavor locked quark matter
• Shear viscosity from kaon condensation in color-flavor-locked quark matter
• From quarks and gluons to color superconductivity at supranuclear densities
• The Meissner Effect and Vortex Expulsion in Color-Superconducting Quark stars, and its Role for Re-heating of Magnetars
• Optically opaque color-flavor locked phase inside compact stars
• Pseudoscalar Goldstone bosons in the color-flavor locked phase at moderate densities
• Compactness in the Thermal Evolution of Twin Stars
• Speed of sound in dense strong-interaction matter
• Pressure and speed of sound in two-flavor color-superconducting quark matter at next-to-leading order
• Transport responses from rate of decay and scattering processes in the Nambu--Jona-Lasinio model
• Collective modes in the color flavor locked phase
• Bremsstrahlung neutrinos from electron-electron scattering in a relativistic degenerate electron plasma
• Quark matter contribution to the heat capacity of magnetized neutron stars
• Bulk viscosity coefficients due to phonons and kaons in superfluid color-flavor locked quark matter
• Impact of different extended components of mean field models on transport coefficients of quark matter and their causal aspects
• Non-adiabatic oscillations of compact stars in general relativity
• Exploring phases of dense QCD with compact stars
• Thermal conductivity of hot pionic medium due to pion self-energy for $\pi \sigma$ and $\pi \rho$ loops
• Thermal conductivity of the quark matter for the SU(2) light-flavor sector
• Pseudoscalar bosonic excitations in the color-flavor locked phase at moderate densities
• Renormalizing the Quark-Meson-Diquark Model
• Gapless color-flavor locked phase in quark and hybrid stars
• Low energy properties of color-flavor locked superconductors
• Neutrino-antineutrino synchrotron emission from magnetized dense quark matter
• Pair luminosity and cooling of newborn strange star: unpaired quarks
• Review of heat and charge transport in strongly magnetized relativistic plasmas