Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals

Abstract

We argue that in cold, dense quark matter, in the limit of a large number of colors the ground state is unstable with respect to creation of a complicated Quarkyonic Chiral Spiral (QCS) state, in which both chiral and translational symmetries are spontaneously broken. The entire Fermi surface is covered with patches of QCSs, whose number increases as the quark density does. The low energy excitations are gapless, given by Wess-Zumino-Novikov-Witten model plus transverse kinetic terms localized about different patches.

arXiv comment18 pages, 3 figures

References in corpus (30)

• Color superconductivity in dense quark matter
• Phases of Dense Quarks at Large N_c
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Quarkyonic Chiral Spirals
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• On finite-density QCD at large Nc
• Baryons and the phase diagram for a large number of colors and flavors
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Weakly coupled one-dimensional Mott insulators
• Dense QCD : Overhauser or BCS Pairing ?
• Revised Phase Diagram of the Gross-Neveu Model
• Full Phase Diagram of the Massive Gross-Neveu Model
• A chiral crystal in cold QCD matter at intermediate densities?
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Analytical solution of the Gross-Neveu model at finite density
• Chirally symmetric but confining dense and cold matter
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• Baryons in Massive Gross-Neveu Models
• Chiral crystals in strong-coupling lattice QCD at nonzero chemical potential
• Tricritical behavior of the massive chiral Gross-Neveu model
• From non-degenerate conducting polymers to dense matter in the massive Gross-Neveu model
• A strange metal with a small Fermi surface and strong collective excitations
• Volume dependence of two-dimensional large-N QCD with a nonzero density of baryons
• Infrared stability of quarkyonic matter with the 1/p^4 confinement
• Confined but chirally symmetric hadrons at large density and the Casher's argument
• Chiral symmetry restoration and deconfinement in Coulomb Gauge QCD
• Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model

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• Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach
• Stiffening of matter in quark-hadron continuity
• 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
• Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
• Two-dimensional chiral crystals in the NJL model
• Remarks on nuclear matter: how an ${\omega }_0$ condensate can spike the speed of sound, and a model of $Z(3)$ baryons
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Towards a holographic realization of the quarkyonic phase
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Effective field theory for spacetime symmetry breaking
• Dissipationless Hall Current in Dense Quark Matter in a Magnetic Field
• Novel Topological Effects in Dense QCD in a Magnetic Field
• Chiral density wave versus pion condensation at finite density
• Isospin properties of quark matter from a 3-flavor NJL model
• 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
• Absence of Landau-Peierls Instability in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• A percolation transition in Yang-Mills matter at finite number of colours
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Thermal quarks and gluon propagators in two-color dense QCD
• Nonuniform phases in a three-flavor Nambu--Jona-Lasinio model
• Color screening in cold quark matter
• Phase transitions and resilience of the MDCDW phase at finite temperature and density
• Speed of Sound for Hadronic and Quark Phases in a Magnetic Field
• Quark matter contribution to the heat capacity of magnetized neutron stars
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
• Consistent regularization and renormalization in models with inhomogeneous phases
• Dimensional reduction in quantum field theories at finite temperature and density
• 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
• 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
• Chiral Spirals from Noncontinuous Chiral Symmetry: The Gross-Neveu model results
• Mesons in strong magnetic fields: (I) General analyses
• 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
• 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
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Anomalous Transport Properties of Dense QCD in a Magnetic Field
• Inhomogeneous islands and continents in the Nambu--Jona-Lasinio model
• Quarkyonic Matter and Chiral Spirals