Quarkyonic Chiral Spirals

Abstract

We consider the formation of chiral density waves in Quarkyonic matter, which is a phase where cold, dense quarks experience confining forces. We model confinement following Gribov and Zwanziger, taking the gluon propagator, in Coulomb gauge and momentum space, as 1/(p^2)^2. We assume that the number of colors, N, is large, and that the quark chemical potential, mu, is much larger than renormalization mass scale, Lambda_QCD. To leading order in 1/N and Lambda_QCD/mu, a gauge theory with Nf flavors of massless quarks in 3+1 dimensions naturally reduces to a gauge theory in 1+1 dimensions, with an enlarged flavor symmetry of SU(2Nf). Through an anomalous chiral rotation, in two dimensions a Fermi sea of massless quarks maps directly onto the corresponding theory in vacuum. A chiral condensate forms locally, and varies with the spatial position, z, as < psibar exp(2 i mu z gamma^0 gamma^z) psi >. Following Schon and Thies, we term this two dimensional pion condensate a (Quarkyonic) chiral spiral. Massive quarks also exhibit chiral spirals, with the magnitude of the oscillations decreasing smoothly with increasing mass. The power law correlations of the Wess-Zumino-Novikov-Witten model in 1+1 dimensions then generate strong infrared effects in 3+1 dimensions.

28 pages, 4 figures. The relationship of our chiral spirals to those found in perturbation theory is additionally discussed. References are added.

References in corpus (37)

• Color superconductivity in dense quark matter
• Thermodynamics of the QCD plasma and the large-N limit
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Cold Nuclear Matter In Holographic QCD
• Holographic Nuclear Physics
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• Baryons and the phase diagram for a large number of colors and flavors
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model
• Effective Theory of Wilson Lines and Deconfinement
• Holographic Responses of Fermion Matter
• Suppression of the Shear Viscosity in a "semi" Quark Gluon Plasma
• Photoemission with Chemical Potential from QCD Gravity Dual
• Dense QCD: a Holographic Dyonic Salt
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Magnetic properties of dense holographic QCD
• Chirally symmetric but confining dense and cold matter
• Dense Holographic QCD in the Wigner-Seitz Approximation
• Holographic QCD with Isospin Chemical Potential
• D3/D7 holographic Gauge theory and Chemical potential
• Dense Hadronic Matter in Holographic QCD
• Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• Baryons in QCD_{AS} at Large N_c: A Roundabout Approach
• Tricritical behavior of the massive chiral Gross-Neveu model
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD
• Holographic Nuclei
• Zero Point Energy of Renormalized Wilson Loops
• Baryonic Response of Dense Holographic QCD
• Sakai-Sugimoto Brane System at High Density
• Confined but chirally symmetric hadrons at large density and the Casher's argument
• Is Schwinger Model at Finite Density a Crystal?
• Color Superconductivity at Large N: A New Hope
• Exact Effective action for (1+1)-dimensional fermions in an Abelian background at finite temperature and chemical potential
• Hadron Formation and the Phase Diagram of QCD Matter

Cited by in corpus (164)

• The phase diagram of dense QCD
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• SU(N) gauge theories at large N
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Inhomogeneous chiral condensates
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Asymptotic safety: a simple example
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field
• The quark mass gap in a magnetic field
• Interweaving Chiral Spirals
• Towards the phase diagram of dense two-color matter
• Phases of dense matter in compact stars
• Normal ground state of dense relativistic matter in a magnetic field
• QCD matter in extreme environments
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach
• Phonons, pions and quasi-long-range order in spatially modulated chiral condensates
• Universality of Phases in QCD and QCD-like Theories
• Landau-Peierls instability in a Fulde-Ferrell type inhomogeneous chiral condensed phase
• Massless Mode and Positivity Violation in Hot QCD
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Spontaneous breaking of continuous translational invariance
• Stiffening of matter in quark-hadron continuity
• Novel Lifshitz point for chiral transition in the magnetic field
• Chiral density wave in nuclear matter
• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• Holographic quarkyonic matter
• Stability windows for proto-quark stars
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Anomalous transport properties of Dirac and Weyl semimetals
• Phase transitions and gluodynamics in 2-colour matter at high density
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Introductory lectures to large-N QCD phenomenology and lattice results
• A (1+1) dimensional example of Quarkyonic matter
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Little-Bang and Femto-Nova in Nucleus-Nucleus Collisions
• Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Two-dimensional chiral crystals in the NJL model
• Crystalline chiral condensates as a component of compact stars
• Inhomogeneous chiral symmetry breaking in dense neutron-star matter
• Remarks on nuclear matter: how an ${\omega }_0$ condensate can spike the speed of sound, and a model of $Z(3)$ baryons
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Finite-Temperature Quarkyonic Matter with an Excluded Volume Model
• Observation of deconfinement in a cold dense quark medium
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Excluded-volume model for quarkyonic matter II: Three-flavor shell-like distribution of baryons in phase space
• Dense baryon matter with isospin and chiral imbalance in the framework of NJL${}_4$ model at large $N_c$: duality between chiral symmetry breaking and charged pion condensation
• Helical Spin Order from Topological Dirac and Weyl Semimetals
• Towards a holographic realization of the quarkyonic phase
• Inhomogeneous chiral condensate in the quark-meson model
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Effective field theory for spacetime symmetry breaking
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Hybrid chiral condensate in the external magnetic field
• Dissipationless Hall Current in Dense Quark Matter in a Magnetic Field
• Novel Topological Effects in Dense QCD in a Magnetic Field
• Holographic chiral magnetic spiral
• Anatomy of the sign-problem in heavy-dense QCD
• Chiral Symmetry Breaking on the Lattice
• Chiral density wave versus pion condensation at finite density
• Isospin properties of quark matter from a 3-flavor NJL model
• QCD in the heavy dense regime for general $N_c$: On the existence of quarkyonic matter
• No-Go Theorem for Critical Phenomena in Large-Nc QCD
• Phenomenological QCD equations of state for neutron star dynamics: Nuclear-2SC continuity and evolving effective couplings
• A field theoretical model for quarkyonic matter
• Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
• The Chiral Magnetic Effect and Axial Anomalies
• Possibility of QCD critical point sweep during black hole formation
• A percolation transition in Yang-Mills matter at finite number of colours
• Kondo phase diagram of quark matter
• Absence of Landau-Peierls Instability in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Chiral helix in AdS/CFT with flavor
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• The Myriad Uses of Instantons
• Thermal quarks and gluon propagators in two-color dense QCD
• Inhomogeneous quark condensate in compressed skyrmion matter
• Crystalline phases by an improved gradient expansion technique
• Phase diagram of hot and dense QCD constrained by the Statistical Model
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Sign problem and phase quenching in finite-density QCD: models, holography, and lattice
• Conformal field theory analysis for QCD Kondo effect
• Spatial modulation and topological current in holographic QCD matter
• Color screening in cold quark matter
• Nonuniform phases in a three-flavor Nambu--Jona-Lasinio model
• Phase transitions and resilience of the MDCDW phase at finite temperature and density
• Does nuclear matter bind at large $N_c$?
• Quark beta decay in the inhomogeneous chiral phase and cooling of compact stars
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Exploring Dense and Cold QCD in Magnetic Fields
• Speed of Sound for Hadronic and Quark Phases in a Magnetic Field
• Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings
• Quark matter contribution to the heat capacity of magnetized neutron stars
• $D$ and $D^{\ast }$ meson mixing in spin-isospin correlated cold nuclear matter
• Structure formation during phase transitions in strongly interacting matter
• Equation of state of neutron star matter and its warm extension with an interacting hadron resonance gas
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
• Generic features of the phase transition in cold and dense quark matter
• The Sign Problem, PT Symmetry and Abelian Lattice Duality
• Consistent regularization and renormalization in models with inhomogeneous phases
• Magnetic-Field Induced Critical Endpoint
• Polyakov loop effects on the phase diagram in strong-coupling lattice QCD
• Dynamics near QCD critical point by dynamic renormalization group
• Properties of hadrons in a chiral model with (axial-)vector mesons
• Spontaneous symmetry breaking via inhomogeneities and the differential surface tension
• Holographic chiral currents in a magnetic field
• Dimensional reduction in quantum field theories at finite temperature and density
• Quark running mass and vacuum energy density in truncated Coulomb gauge QCD for five orders of magnitude of current masses
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• Delineating chiral separation effect in two-color dense QCD
• QED at a finite chemical potential
• Quarkyonic Percolation and deconfinement at finite density and number of colors
• Delineating the properties of matter in cold, dense QCD
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Temporal Chiral Spiral in Strong Magnetic Fields
• Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model
• BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion
• Equation of State in a Strongly Interacting Relativistic System
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Alpha-cluster structure and density wave in oblate nuclei
• Holographic Magnetized Chiral Density Wave
• Axion-Polaritons in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Lack of Debye and Meissner screening in strongly magnetized quark matter at intermediate densities
• Sign problem and the chiral spiral on the finite-density lattice
• Chiral Spirals from Noncontinuous Chiral Symmetry: The Gross-Neveu model results
• Two-flavor QCD at finite temperature and chemical potential in a functional approach
• Critical behavior of lattice gauge theory Rydberg simulators from effective Hamiltonians
• Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter
• Quark Mass Correction to Chiral Separation Effect and Pseudoscalar Condensate
• Neutron stars in the large-$N_c$ limit
• Thermal phonon fluctuations and stability of the magnetic dual chiral density wave phase in dense QCD
• Axion-Polaritons in quark stars: a possible solution to the missing pulsar problem
• Anatomy of the dense QCD matter from canonical sectors
• Strong-coupling effects in a plasma of confining gluons
• Particle-hole instability in the $Ad{S}_4$ holography
• Strongly interacting matter in extreme magnetic fields
• Gradient expansion technique for inhomogeneous, magnetized quark matter
• Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates
• Exact tricritical point from next-to-leading-order stability analysis
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Summary of Theoretical Physics for ICPAQGP 2010
• The sign problem and Abelian lattice duality
• Chiral symmetry restoration in static-light mesons: chiral restoration theorem, the quark running mass m(k) and first chiral restoration signals in the lattice QCD spectra
• Phase Structure and Transport Properties of Dense Quark Matter
• Inhomogeneous islands and continents in the Nambu--Jona-Lasinio model
• Anomalous Transport Properties of Dense QCD in a Magnetic Field
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• How large is "large $N_c$" for Nuclear matter?
• Phenomenology of quarkyonic percolation at FAIR
• The eLSM at nonzero density
• Quarkyonic Matter and Chiral Spirals
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
• Algebraic approach to quarkyoniclike configuration and stable diquarks in dense matter
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
• Role of inhomogeneities in the flattening of the quantum effective potential
• On the Inhomogeneous Phase of the Chiral Gross-Neveu Model