Two lectures on color superconductivity

Abstract

The first lecture provides an introduction to the physics of color superconductivity in cold dense quark matter. The main color superconducting phases are briefly described and their properties are listed. The second lecture covers recent developments in studies of color superconducting phases in neutral and beta-equilibrated matter. The properties of gapless color superconducting phases are discussed.

56 pages, 9 figures. Minor corrections and references added. Lectures delivered at the IARD 2004 conference, Saas Fee, Switzerland, June 12 - 19, 2004, and at the Helmholtz International Summer School and Workshop on Hot points in Astrophysics and Cosmology, JINR, Dubna, Russia, August 2 - 13, 2004

References in corpus (129)

• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Signatures of the Tricritical Point in QCD
• Diquark Bose Condensates in High Density Matter and Instantons
• The QCD phase diagram for small densities from imaginary chemical potential
• Chiral perturbation theory
• On the Phase Diagram of QCD
• The QCD thermal phase transition in the presence of a small chemical potential
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Color superconducting quark matter
• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• A new method to study lattice QCD at finite temperature and chemical potential
• The Quark-Gluon Plasma in Equilibrium
• Chiral Perturbation Theory
• Interior Gap Superfluidity
• Crystalline Color Superconductivity
• Continuity of Quark and Hadron Matter
• Enforced Electrical Neutrality of the Color-Flavor Locked Phase
• Phase separation in asymmetrical fermion superfluids
• Superconductivity from perturbative one-gluon exchange in high density quark matter
• Inverse meson mass ordering in color-flavor-locking phase of high density QCD
• Gapless two-flavor color superconductor
• High Density Quark Matter under Stress
• Is RX J185635-375 a Quark Star?
• Compact stars with color superconducting quark matter
• Absence of two-flavor color-superconductivity in compact stars
• The Crystallography of Color Superconductivity
• Color superconductivity in weak coupling
• Color-Neutral Superconducting Quark Matter
• Gapless Color-Flavor-Locked Quark Matter
• Patterns of Symmetry Breaking in QCD at High Baryon Density
• Kaon Condensation and Dynamical Nucleons in Neutron Stars
• Stability Criteria for Breached Pair Superfluidity
• Color-flavor locked strange matter
• Neutron stars and the transition to color-superconducting quark matter
• A Revised Parallax and its Implications for RX J185635-3754
• Gaps and Critical Temperature for Color Superconductivity
• Charge Screening at First Order Phase Transitions and Hadron - Quark Mixed Phase
• Kaon Condensation and Goldstone's Theorem
• Numerical Study of Dense Adjoint Matter in Two Color QCD
• Effective Theory for Color-Flavor Locking in high Density QCD
• Schwinger-Dyson Approach to Color Superconductivity in Dense QCD
• On the Perturbative Nature of Color Superconductivity
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Gapless color superconductivity at zero and at finite temperature
• Pentaquark hadrons from lattice QCD
• Two-colour QCD at non-zero quark-number density
• Novel phases and transitions in Color Flavor Locked matter
• Quark Hadron Continuity in QCD with one Flavor
• An effective field theory of QCD at high density
• New Constraints on Neutron Star Cooling from Chandra Observations of 3C58
• Quark Description of Hadronic Phases
• Breached pairing superfluidity: Possible realization in QCD
• On gap equations and color-flavor locking in cold dense QCD with three massless flavors
• Meson Masses in High Density QCD
• Spontaneous Symmetry Breaking with Abnormal Number of Nambu-Goldstone Bosons and Kaon Condensate
• Light Quarks in the Instanton Vacuum at Finite Baryon Density
• Charge Neutrality Effects on 2-flavor Color Superconductivity
• Aspects of high density effective theory in QCD
• Cold asymmetrical fermion superfluids
• Screening masses in neutral two-flavor color superconductor
• Evaluating the Gapless Color-Flavor Locked Phase
• Mixed phases of color superconducting quark matter
• Debye screening and Meissner effect in a two-flavor color superconductor
• Spin-Dependent Hubbard Model and a Quantum Phase Transition in Cold Atoms
• Single color and single flavor color superconductivity
• Lattice QCD at Finite Temperature and Density
• Effect of color superconductivity on the mass and radius of a quark star
• The ground state in a spin-one color superconductor
• Color-Flavor Unlocking and Phase Diagram with Self-Consistently Determined Strange Quark Masses
• Hard Dense Loops in a Cold Non-Abelian Plasma
• Mapping the QCD Phase Diagram
• Nonstrange hybrid compact stars with color superconducting matter
• Braaten-Pisarski Method at Finite Chemical Potential
• Magnetic Interactions, the Renormalization Group and Color Superconductivity in High Density QCD
• Masses of the Goldstone modes in the CFL phase of QCD at finite density
• Asymptotic deconfinement in high-density QCD
• Phase diagram of dense neutral three-flavor quark matter
• Thermal conductivity of dense quark matter and cooling of stars
• How the quark self-energy affects the color-superconducting gap
• Electromagnetic Meissner effect in spin-one color superconductors
• Qualitons At High Density
• Anisotropic admixture in color-superconducting quark matter
• Massive quark propagator and competition between chiral and diquark condensate
• Massive Quark Propagator in the Color-superconducting Phase
• Domain walls of high-density QCD
• Heating (Gapless) Color-Flavor Locked Quark Matter
• Quark mass effects on the stability of hybrid stars
• Phase Structure of 2-Flavor Quark Matter: Heterogeneous Superconductors
• Mass Terms in Effective Theories of High Density Quark Matter
• Gauge dependence identities for color superconducting QCD
• Color superconducting quark matter core in the third family of compact stars
• A Diagrammatic Approach to Crystalline Color Superconductivity
• Melting Pattern of Diquark Condensates in Quark Matter
• Gluons, tadpoles, and color neutrality in a two-flavor color superconductor
• Dispersion Laws for Goldstone Bosons in a Color Superconductor
• Hard Loops, Soft Loops, and High Density Effective Field Theory
• Thermodynamics of the 3-flavor NJL model : chiral symmetry breaking and color superconductivity
• Photon Emission from Dense Quark Matter
• First Order Kaon Condensation in Neutron Stars: Finite Size Effects in the Mixed Phase
• Mixing and Screening of Photons and Gluons in a Color Superconductor
• The Cooling Neutron Star in 3C 58
• Breached Superfluidity via P-Wave Coupling
• The effective potential of composite diquark fields and the spectrum of resonances in dense QCD
• Chiral symmetry breaking, color superconductivity and color neutral quark matter: a variational approach
• New phases in CFL quark matter
• Charge Neutrality of the Color-Flavor Locked Phase from the Low Energy Effective Theory
• Breached Pairing Superfluidity at Finite Temperature and Density
• Anisotropy Parameters for the Effective Description of Crystalline Color Superconductors
• Longitudinal gluons and Nambu-Goldstone bosons in a two-flavor color superconductor
• Instanton interactions in dense-matter QCD
• Low Energy Theory for 2 flavors at High Density QCD
• Breaking rotational symmetry in two-flavor color superconductors
• Bethe-Salpeter equation for diquarks in color-flavor locked phase of cold dense QCD
• Diquarks in cold dense QCD with two flavors
• Effects of quark matter and color superconductivity in compact stars
• Angular Momentum Mixing in Crystalline Color Superconductivity
• Pulsar kicks via spin-1 color superconductivity
• Positivity and Dense Matter
• Gapless phases of color-superconducting matter
• Interior gap superfluidity in a two-component Fermi gas of atoms
• Optically opaque color-flavor locked phase inside compact stars
• A General Effective Action for High-Density Quark Matter
• Masses of the pseudo-Nambu-Goldstone bosons in two flavor color superconducting phase
• Color superconductivity and nondecoupling phenomena in 2+1 dimensional QCD
• BCS vs Overhauser pairing in dense (2+1)d QCD

Cited by in corpus (139)

• Color superconductivity in dense quark matter
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Color-flavor locked superconductor in a magnetic field
• Deconfinement in dense 2-color QCD
• Color-Superconducting Gap in the Presence of a Magnetic Field
• The Crystallography of Three-Flavor Quark Matter
• Phase diagram of hot magnetized two-flavor color superconducting quark matter
• The rigidity of crystalline color superconducting quark matter
• Color neutral 2SC phase of cold and dense quark matter in the presence of constant magnetic fields
• Delta baryons and diquark formation in the cores of neutron stars
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Solitonic ground states in (color-) superconductivity
• Magnetic Fields Boosted by Gluon Vortices in Color Superconductivity
• Neutrino emission and cooling rates of spin-one color superconductors
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Bulk viscosity of strange quark matter: Urca versus non-leptonic processes
• Spontaneous current generation in the gapless 2SC phase
• Neutrino emission from compact stars and inhomogeneous color superconductivity
• Bulk viscosity in 2SC quark matter
• Relativistic BCS-BEC crossover in a boson-fermion model
• Finite size effects in the Gross-Neveu model with isospin chemical potential
• Neutral Larkin--Ovchinnikov--Fulde--Ferrell state and chromomagnetic instability in two-flavor dense QCD
• Bulk viscosity of spin-one color superconductors with two quark flavors
• Superfluid pairing between fermions with unequal masses
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Stability conditions and Fermi surface topologies in a superconductor
• Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
• Pulsar kicks by anisotropic neutrino emission from quark matter in strong magnetic fields
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• The phase diagram of neutral quark matter: The effect of neutrino trapping
• Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3
• Chromomagnetic stability of the three flavor Larkin-Ovchinnikov-Fulde-Ferrell phase of QCD
• Spontaneous Superfluid Current Generation in CFL at Nonzero Strange Quark Mass
• Cutoff-independent regularization of four-fermion interactions for color superconductivity
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Bound diquarks and their Bose-Einstein condensation in strongly coupled quark matter
• Relativistic BCS-BEC Crossover at Finite Temperature and Its Application to Color Superconductivity
• Dyson-Schwinger approach to color superconductivity at finite temperature and density
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• The quark core of protoneutron stars in the phase diagram of quark matter
• Pion condensation of quark matter in the static Einstein universe
• Color-spin locking in a self-consistent Dyson-Schwinger approach
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Phase diagram of chiral quark matter: Fulde-Ferrell pairing from weak to strong coupling
• Rotating hybrid compact stars
• Extension of the Nambu--Jona-Lasinio model at high densities and temperatures by using an implicit regularization scheme
• Stressed pairing in conventional color superconductors is unavoidable
• Hybrid stars with sequential phase transitions: the emergence of the g${}_2$ mode
• Renormalization Group Studies of Dense Relativistic Systems
• Role of two-flavor color superconductor pairing in a three-flavor Nambu--Jona-Lasinio model with axial anomaly
• Gluonic phase versus LOFF phase in two-flavor quark matter
• Neutrality of a magnetized two-flavor quark superconductor
• Transport theory for cold relativistic superfluids from an analogue model of gravity
• Stable gapless superconductivity at strong coupling
• Critical temperature for kaon condensation in color-flavor locked quark matter
• Surface effects in color superconducting strange-quark matter
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Color-flavor locked strange quark matter in a strong magnetic field
• The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Bulk viscosity of spin-one color superconducting strange quark matter
• Collective excitations, instabilities, and ground state in dense quark matter
• Strange Stars within Bosonic and Fermionic Admixed Dark Matter
• Diquark Bose-Einstein Condensation and Nuclear Matter
• Deconfined metallic quantum criticality: A $U(2)$ gauge-theoretic approach
• Manifestation of Instabilities in Nambu-Jona-Lasinio type models
• Phase space and quark mass effects in neutrino emissions in a color superconductor
• From quarks and gluons to color superconductivity at supranuclear densities
• Massive Neutron Stars with a Color Superconducting Quark Matter Core
• BCS-BEC crossover in relativistic Fermi systems
• Bulk viscosity in hyperonic star and r-mode instability
• Thermal evolution of massive compact objects with dense quark cores
• BCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• Electrodynamics at non-zero temperature, chemical potential, and Bose condensate
• Radiation from matter-antimatter annihilation in the quark nugget model of dark matter
• Gluonic phases, vector condensates, and exotic hadrons in dense QCD
• Emergent QCD Kondo effect in two-flavor color superconducting phase
• Pseudoscalar Goldstone bosons in the color-flavor locked phase at moderate densities
• Magnetized color superconducting quark matter under compact star conditions: Phase structure within the SU(2)f NJL model
• Absence of the London limit for the first-order phase transition to a color superconductor
• Phase transition from hadronic matter to quark matter
• Dressed Polyakov loop and flavor dependent phase transitions
• Speed of sound in dense strong-interaction matter
• Mesons and diquarks in neutral color superconducting quark matter with $\beta$-equilibrium
• Pressure and speed of sound in two-flavor color-superconducting quark matter at next-to-leading order
• Gravitational catalysis of chiral and color symmetry breaking of quark matter in hyperbolic space
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• Regularization issues for a cold and dense quark matter model in $\beta -$equilibrium
• Chiral symmetry breaking, color superconductivity, and the equation of state for magnetized strange quark matter
• Hybrid stars with color superconducting cores in an extended FCM model
• Influence of finite quark chemical potentials on the three flavor LOFF phase of QCD
• Chromomagnetic instability in two-flavor quark matter at nonzero temperature
• Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach
• On the ground state of gapless two flavor color superconductors
• Kaon condensation in the color-flavor-locked phase of quark matter, the Goldstone theorem, and the 2PI Hartree approximation
• Effect of r-mode instability on the evolution of isolated strange stars
• Solid-state calculation of crystalline color superconductivity
• Meissner screening mass in two-flavor quark matter at nonzero temperature
• NJL model of homogeneous neutral quark matter: Pseudoscalar diquark condensates revisited
• Color superconductivity in the static Einstein Universe
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics
• Inhomogeneity driven by Higgs instability in gapless superconductor
• Relativistic BCS-BEC crossover of a two-species Fermi gas with number density asymmetry at zero temperature
• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• Vortices in gauge models at finite density with vector condensates
• Topological susceptibility and axion potential in two-flavor superconductive quark matter
• Spherically symmetric anisotropic strange stars
• Speed of sound and polytropic index in QCD matter
• LOFF and breached pairing with cold atoms
• The Complex Gap in Color Superconductivity
• Non-leptonic weak processes in spin-one color superconducting quark matter
• Could strange stars be in the color-flavor-locked phase: Tested by their thermal evolutions
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
• Thermal evolution of rotating strange stars in color superconductivity phase
• Oscillating Magnetized Color Superconducting Quark Stars
• Thermal Evolution of Strange Stars
• Chiral random matrix theory for single-flavor spin-one Cooper pairing
• Directional dependence of color superconducting gap in two-flavor QCD in a magnetic field
• Phase diagram of two-flavor quark matter: Gluonic phase at nonzero temperature
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Some comments about emission channels of non abelian vortices
• Ginzburg-Landau free energy of crystalline color superconductors: A matrix formalism from solid-state physics
• Some recent progress on quark pairings in dense quark and nuclear matter
• Pairing fluctuation effects in a strongly coupled color superfluid/superconductor
• Neutrino-antineutrino synchrotron emission from magnetized dense quark matter
• Baryons in the Nambu Jona-Lasinio models
• An Abelian Ward identity and the vertex corrections to the color superconducting gap
• Finding strangelets in cosmic rays from HESS J1731-347, a possible strange quark star using the Cherenkov Telescope Array Observatory
• Mesons and diquarks in a color superconducting regime
• Di-Antiquarks condensation in Color Superconductivity
• Two fluid CFL strange quark stars with scalar dark matter: critical mass and mass gap implications
• Competing color superconductivity and color Kondo effect in quark matter