Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model

Abstract

We discuss inhomogeneous ground states of the Nambu-Jona-Lasino (NJL) and quark-meson (QM) model within mean-field approximation and their possible existence in the respective phase diagrams. For this purpose we focus on lower dimensional modulations and point out that known solutions in the 2+1 and 1+1 dimensional (chiral) Gross-Neveu (GN) model can be lifted to the to the 3+1 dimensional NJL model. This is worked out in detail for one-dimensional modulations and numerical results for the phase diagrams are presented. Focus is put on the critical point and on vanishing temperatures. As an interesting result the first order transition line in the phase diagram of homogeneous phases gets replaced by an inhomogeneous phase which is bordered by two second order transition lines.

21 pages, 11 figures

References in corpus (27)

• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Phases of Dense Quarks at Large N_c
• The Phase Structure of the Polyakov--Quark-Meson Model
• The Quark-Gluon Plasma in Equilibrium
• Chiral Phase Transition within Effective Models with Constituent Quarks
• The Phase Diagram of the Quark-Meson Model
• Chiral symmetry and density wave in quark matter
• The Crystallography of Color Superconductivity
• Susceptibilities near the QCD (tri)critical point
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Cold Nuclear Matter In Holographic QCD
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• On finite-density QCD at large Nc
• How many phases meet at the chiral critical point?
• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• Dense QCD : Overhauser or BCS Pairing ?
• Full Phase Diagram of the Massive Gross-Neveu Model
• A chiral crystal in cold QCD matter at intermediate densities?
• Solitonic ground states in (color-) superconductivity
• Non-uniform chiral phase in effective chiral quark models
• Tricritical behavior of the massive chiral Gross-Neveu model
• Dimensional Reduction of Fermions in Brane Worlds of the Gross-Neveu Model

Cited by in corpus (158)

• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Inhomogeneous chiral condensates
• Quarkyonic Chiral Spirals
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• Vacuum fluctuations and the thermodynamics of chiral models
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Asymptotic safety: a simple example
• Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field
• Interweaving Chiral Spirals
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Equation of state for hot QCD and compact stars from a mean field approach
• Fluctuations and the axial anomaly with three quark flavors
• 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
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Inverse magnetic catalysis in field theory and gauge-gravity duality
• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Landau-Peierls instability in a Fulde-Ferrell type inhomogeneous chiral condensed phase
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
• Identifying the nature of the QCD transition in relativistic collision of heavy nuclei with deep learning
• Chiral density wave in nuclear matter
• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
• Dyson-Schwinger study of chiral density waves in QCD
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• A (1+1) dimensional example of Quarkyonic matter
• Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Inhomogeneous chiral phases away from the chiral limit
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Two-dimensional chiral crystals in the NJL model
• Functional renormalization group analysis of the soft mode at the QCD critical point
• Inhomogeneous chiral symmetry breaking in dense neutron-star matter
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Reinterpretation of the Starobinsky model
• Inhomogeneous chiral condensate in the quark-meson model
• Inhomogeneous chiral condensates in three-flavor quark matter
• Effective field theory for spacetime symmetry breaking
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Dyson-Schwinger approach to color superconductivity at finite temperature and density
• Hybrid chiral condensate in the external magnetic field
• Continuum study on QCD phase diagram through an OPE-modified gluon propagator
• Nucleating quark droplets in the core of magnetars
• Novel Topological Effects in Dense QCD in a Magnetic Field
• Strangeness Neutrality and QCD Thermodynamics
• Pion crystals hosting topologically stable baryons
• Chiral density wave versus pion condensation at finite density
• The quarkynic phase and the Z_{Nc} symmetry
• Role of two-flavor color superconductor pairing in a three-flavor Nambu--Jona-Lasinio model with axial anomaly
• Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
• Many-flavor Phase Diagram of the (2+1)d Gross-Neveu Model at Finite Temperature
• Inhomogeneous phases in the quark-meson model with explicit chiral-symmetry breaking
• Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Possibility of QCD critical point sweep during black hole formation
• Local suppression and enhancement of pairing condensate under rotation
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• Absence of Landau-Peierls Instability in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model
• Consistent parameter fixing in the quark-meson model with vacuum fluctuations
• Fluctuations and phases in baryonic matter
• Ginzburg-Landau phase diagram of QCD near chiral critical point - chiral defect lattice and solitonic pion condensate -
• Crystalline phases by an improved gradient expansion technique
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Spontaneous magnetization of quark matter in the inhomogeneous chiral phase
• Inhomogeneous phases in nonlocal chiral quark models
• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field
• Phase diagram of hot and dense QCD constrained by the Statistical Model
• Color screening in cold quark matter
• Nonuniform phases in a three-flavor Nambu--Jona-Lasinio model
• Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
• Spatial modulation and topological current in holographic QCD matter
• Inhomogeneous phases in the chirally imbalanced $2+1$-dimensional Gross-Neveu model and their absence in the continuum limit
• Phase transitions and resilience of the MDCDW phase at finite temperature and density
• New universality classes of the non-Hermitian Dirac operator in QCD-like theories
• Quark beta decay in the inhomogeneous chiral phase and cooling of compact stars
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Influence of vector interactions on the favored shape of inhomogeneous chiral condensates
• Chiral Phase Transitions around Black Holes
• Fate of chiral critical point under the strong isospin asymmetry
• Lefschetz thimbles in fermionic effective models with repulsive vector-field
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Speed of Sound for Hadronic and Quark Phases in a Magnetic Field
• Chiral pair fluctuations for the inhomogeneous chiral transition
• Solitonic modulation and Lifshitz point in an external magnetic field within Nambu--Jona-Lasinio model
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Exploring criticality in the QCD-like two quark flavour models
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• Chiral symmetry breaking, color superconductivity, and the equation of state for magnetized strange quark matter
• Quark matter contribution to the heat capacity of magnetized neutron stars
• Structure formation during phase transitions in strongly interacting matter
• Supersymmetry Breaking in Spatially Modulated Vacua
• Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave
• Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
• Roles of axial anomaly on neutral quark matter with color superconducting phase
• Bogoliubov-de Gennes Soliton Dynamics in Unconventional Fermi Superfluids
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Domain Growth in Chiral Phase Transitions
• Symmetry breaking effect on the inhomogeneous chiral transition in the magnetic field
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -
• Generalized Ginzburg-Landau approach to inhomogeneous phases in nonlocal chiral quark models
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• Investigation of meson masses for real and imaginary chemical potential
• Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• Consistent regularization and renormalization in models with inhomogeneous phases
• Ground state modulations in the $\mathbb{C}{P}^{N-1}$ model
• Generic features of the phase transition in cold and dense quark matter
• Self-bound quark matter in the NJL model revisited: from schematic droplets to domain-wall solitons
• Finite-Momentum Instability of Dynamical Axion Insulator
• Dimensional reduction in quantum field theories at finite temperature and density
• Magnetic-Field Induced Critical Endpoint
• Dual chiral density waves in nuclear matter
• Anomalous Hall effect in dense QCD matter
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion
• Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model
• QCD phase diagram in the $T-eB$ plane for varying pion mass
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Inhomogeneous chiral symmetry breaking phases in isospin-asymmetric matter
• Holographic Magnetized Chiral Density Wave
• Chiral Spirals from Noncontinuous Chiral Symmetry: The Gross-Neveu model results
• Lack of Debye and Meissner screening in strongly magnetized quark matter at intermediate densities
• Axion-Polaritons in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Alpha-cluster structure and density wave in oblate nuclei
• Dilepton production from moaton quasiparticles
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Quantum fluctuation in an inhomogeneous background and its influence on the phase transition in a finite volume system
• Thermal phonon fluctuations and stability of the magnetic dual chiral density wave phase in dense QCD
• Dual chiral density wave induced oscillating Casimir effect
• Axion-Polaritons in quark stars: a possible solution to the missing pulsar problem
• Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu--Jona-Lasinio model
• Modified dilepton production rate from charged pion-pair annihilation in the inhomogeneous chiral condensed phase
• Remarks on the large-$N$ $\mathbb{C}{P}^{N-1}$ model
• Random matrix model at nonzero chemical potentials with anomaly effects
• Low mu and imaginary mu signals of a critical point in the phase diagram of an exactly soluble chiral symmetry breaking theory
• Convergence of Ginzburg-Landau expansions: superconductivity in the Bardeen-Cooper-Schrieffer theory and chiral symmetry breaking in the Nambu-Jona-Lasinio model
• Exact tricritical point from next-to-leading-order stability analysis
• Gradient expansion technique for inhomogeneous, magnetized quark matter
• Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates
• Magnetic aspects of QCD at finite density and temperature
• Inhomogeneous Chiral Phase in Quark Matter
• On branches of the KS black hole
• A proposal for the Yang-Mills vacuum and mass gap
• Spatially modulated chiral condensates
• Inhomogeneous islands and continents in the Nambu--Jona-Lasinio model
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
• Quantum fluctuation energies over a spatially inhomogeneous field background in a chiral soliton model
• Isospin asymmetric matter in a nonlocal chiral quark model
• Algebraic approach to quarkyoniclike configuration and stable diquarks in dense matter
• Axial anomaly and nesting in the inhomogeneous chiral phase
• Spontaneous Magnetization of Quark Matter in Inhomogeneous Chiral Phase
• Color-superconductivity and inhomogeneous chiral symmetry breaking in isospin-asymmetric quark matter