The shear viscosity of two-flavor crystalline color superconducting quark matter

Abstract

We present the first calculation of the shear viscosity for two-flavor plane wave (FF) color superconducting quark matter. This is a member of the family of crystalline color superconducting phases of dense quark matter that may be present in the cores of neutron stars. The paired quarks in the FF phase feature gapless excitations on surfaces of crescent shaped blocking regions in momentum space and participate in transport. We calculate their contribution to the shear viscosity. We note that they also lead to dynamic screening of transverse $t^1$, $t^2$, $t^3$ gluons which are undamped in the 2SC phase. The exchange of these gluons is the most important mechanism of the scattering of the paired quarks. We find that the shear viscosity of the paired quarks is roughly a factor of $100$ smaller compared to the shear viscosity of unpaired quark matter. Our results may have implications for the damping of $r-$modes in rapidly rotating, cold neutron stars.

30 pages, 20 figures

References in corpus (22)

• Color superconductivity in dense quark matter
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• The physics of neutron stars
• Shear viscosity in neutron star cores
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• The Crystallography of Three-Flavor Quark Matter
• The rigidity of crystalline color superconducting quark matter
• Superfluid Heat Conduction and the Cooling of Magnetized Neutron Stars
• Are neutron stars with crystalline colour superconducting cores interesting for the LIGO experiment?
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Electron-muon heat conduction in neutron star cores via the exchange of transverse plasmons
• Neutrino emission from compact stars and inhomogeneous color superconductivity
• Bulk viscosity in 2SC quark matter
• Constraining crystalline color superconducting quark matter with gravitational-wave data
• Gravitational radiation from crystalline color-superconducting hybrid stars
• Chromomagnetic stability of the three flavor Larkin-Ovchinnikov-Fulde-Ferrell phase of QCD
• Transport coefficients of two-flavor superconducting quark matter
• Mutual friction in a cold color flavor locked superfluid and r-mode instabilities in compact stars
• Phase diagram of chiral quark matter: Fulde-Ferrell pairing from weak to strong coupling
• Constraining phases of quark matter with studies of r-mode damping in neutron stars
• Solid-state calculation of crystalline color superconductivity
• Phase diagram of chiral quark matter: color and electrically neutral Fulde-Ferrell phase

Cited by in corpus (7)

• Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
• Transport coefficients of two-flavor quark matter from the Kubo formalism
• Chiral symmetry breaking, color superconductivity, and the equation of state for magnetized strange quark matter
• Impact of different extended components of mean field models on transport coefficients of quark matter and their causal aspects
• Color superconductivity from the chiral quark-meson model
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach