Viscosity bound for anisotropic superfluids with dark matter sector

Abstract

The shear viscosity to the entropy density ratio $\eta /s$ of the anisotropic superfluid has been calculated by means of the gauge/gravity duality in the presence of the {\it dark matter} sector. The {\it dark matter} has been described by the Yang-Mills field analogous to the one describing visible matter sector and it is assumed to interact with the visible field with coupling constant $\alpha$. Close to the superfluid transition temperature ($T_c$) the analytical solution has been given up to the leading order in a symmetry breaking parameter and the ratio of the gravitational constant and Yang-Mils coupling. The tensor element of ratio $\eta /s$ remains unaffected by the {\it dark matter} for the viscosity tensor in the plane perpendicular to the symmetry breaking direction (here $yz$). The temperature dependence and the linear correction in $(1-\alpha )$ in the plane containing this direction (here $xy$) was also revealed. The correction linearly vanishes for temperature tending to the critical one $T\to T_c$.

14 pages, some comments and references added

References in corpus (33)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Observation of an anomalous positron abundance in the cosmic radiation
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• The non-gravitational interactions of dark matter in colliding galaxy clusters
• Viscosity Bound and Causality Violation
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Search for ultralight scalar dark matter with atomic spectroscopy
• The behaviour of dark matter associated with 4 bright cluster galaxies in the 10kpc core of Abell 3827
• Shear Viscosity from Effective Couplings of Gravitons
• Microwave Background Constraints on Mixing of Photons with Hidden Photons
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Universal holographic hydrodynamics at finite coupling
• Detecting Dark Matter with Imploding Pulsars in the Galactic Center
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Non-universal shear viscosity from Einstein gravity
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Dark Matter-induced Collapse of Neutron Stars: A Possible Link Between Fast Radio Bursts and the Missing Pulsar Problem
• Shear viscosity of boost invariant plasma at finite coupling
• Shear Viscosity from AdS Born-Infeld Black Holes
• The ratio of shear viscosity to entropy density in generalized theories of gravity
• Particle dark matter searches outside the Local Group
• New Experimental Limit on Photon Hidden-Sector Paraphoton Mixing
• Shear viscosity of CFT plasma at finite coupling
• On search for eV hidden sector photons in Super-Kamiokande and CAST experiments
• A particle dark matter footprint on the first generation of stars
• Analytic study on backreacting holographic superconductors with dark matter sector
• Condensate flow in holographic models in the presence of dark matter
• Magnetic field in holographic superconductor with dark matter sector
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Unitarity constraints on the ratio of shear viscosity to entropy density in higher derivative gravity

Cited by in corpus (5)

• Two interacting current model of holographic Dirac fluid in graphene
• Holography of the QGP Reynolds Number
• Chiral kinetic theory in the presence of dark photon
• Charge transport in chiral solids as a possible tool in search of dark matter signals
• DC conductivities and Stokes flows in Dirac semimetals