Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model

Abstract

We analyze the thermodynamical properties, at finite density and nonzero temperature, of the (1+1)-dimensional chiral Gross-Neveu model (the NJL_2 model), using the exact inhomogeneous (crystalline) condensate solutions to the gap equation. The continuous chiral symmetry of the model plays a crucial role, and the thermodynamics leads to a broken phase with a periodic spiral condensate, the "chiral spiral", as a thermodynamically preferred limit of the more general "twisted kink crystal" solution of the gap equation. This situation should be contrasted with the Gross-Neveu model, which has a discrete chiral symmetry, and for which the phase diagram has a crystalline phase with a periodic kink crystal. We use a combination of analytic, numerical and Ginzburg-Landau techniques to study various parts of the phase diagram.

28 pages, 13 figures

References in corpus (12)

• 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
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Stringy NJL and Gross-Neveu models at finite density and temperature
• Chirally symmetric but confining dense and cold matter
• How to get from imaginary to real chemical potential
• Cluster simulation of relativistic fermions in two space-time dimensions
• Solving two-dimensional large-N QCD with a nonzero density of baryons and arbitrary quark mass
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• New baryon matter in the lattice Gross-Neveu model
• Fermion loop simulation of the lattice Gross-Neveu model

Cited by in corpus (137)

• Inhomogeneous chiral condensates
• Quarkyonic Chiral Spirals
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Vortices and Other Topological Solitons in Dense Quark Matter
• Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field
• Interweaving Chiral Spirals
• Chiral Magnetic Spiral
• 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
• 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
• Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals
• Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model
• Novel Lifshitz point for chiral transition in the magnetic field
• Signatures of Moat Regimes in Heavy-Ion Collisions
• 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
• Self-consistent multiple complex-kink solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems
• Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Sign Flip in the Casimir Force for Interacting Fermion Systems
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Two-dimensional chiral crystals in the NJL model
• Inhomogeneous chiral symmetry breaking in dense neutron-star matter
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Time-Dependent Hartree-Fock Solution of Gross-Neveu models: Twisted Kink Constituents of Baryons and Breathers
• Helical Spin Order from Topological Dirac and Weyl Semimetals
• Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
• Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density
• Interacting Fermions, Boundaries, and Finite Size Effects
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• Hybrid chiral condensate in the external magnetic field
• Pion crystals hosting topologically stable baryons
• Chiral asymmetry in propagation of soliton defects in crystalline backgrounds
• Phase diagram of the large $N$ Gross-Neveu model in a finite periodic box
• Integrable model for density-modulated quantum condensates: solitons passing through a soliton lattice
• Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
• The Chiral Magnetic Effect and Axial Anomalies
• The Lifshitz Regime and its Experimental Signals
• Transmutations of supersymmetry through soliton scattering, and self-consistent condensates
• Twisted kinks, Dirac transparent systems and Darboux transformations
• Analytic SU(N) Skyrmions at finite Baryon density
• Chiral helix in AdS/CFT with flavor
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Worldline Monte Carlo for fermion models at large N_f
• 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
• Full time-dependent Hartree-Fock solution of large N Gross-Neveu models
• Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
• Spontaneous Non-Hermiticity in Nambu-Jona-Lasinio model
• Inhomogeneous phases in the chirally imbalanced $2+1$-dimensional Gross-Neveu model and their absence in the continuum limit
• Extended supersymmetry of the self-isospectral crystalline and soliton chains
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• 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
• Fermion in a multi-kink-antikink soliton background, and exotic supersymmetry
• Quasicrystals in QCD
• Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions
• Lefschetz thimbles in fermionic effective models with repulsive vector-field
• Quantum Simulation of the N flavor Gross-Neveu Model
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Structure formation during phase transitions in strongly interacting matter
• Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
• Large N solution of generalized Gross-Neveu model with two coupling constants
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Bogoliubov-de Gennes Soliton Dynamics in Unconventional Fermi Superfluids
• Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
• Symmetry breaking effect on the inhomogeneous chiral transition in the magnetic field
• Consistent regularization and renormalization in models with inhomogeneous phases
• Chiral spiral in the presence of chiral imbalance
• The Sign Problem, PT Symmetry and Abelian Lattice Duality
• Spinning flavour branes and fermion pairing instabilities
• Spontaneous symmetry breaking via inhomogeneities and the differential surface tension
• Dimensional reduction in quantum field theories at finite temperature and density
• Covariant boost and structure functions of baryons in Gross-Neveu models
• First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Crystals of gauged solitons, force free plasma and resurgence
• An Effective Field Theory Model for One-Dimensional $\mathrm{CH}$ Chains: Effects at Finite Chemical Potential, Temperature and External Zeeman Magnetic Field
• Anomalous Hall effect in dense QCD matter
• Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Chiral Spirals from Noncontinuous Chiral Symmetry: The Gross-Neveu model results
• Kink Crystalline Condensate and Multi-kink Solution in Holographic Superconductor
• Solitonic ground state in supersymmetric theory in background
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Remnants of large-$N_{\mathrm{f}}$ inhomogeneities in the 2-flavor chiral Gross-Neveu model
• Dilepton production from moaton quasiparticles
• Analytic Baby Skyrmions at Finite Density
• Twisted kink crystal in holographic superconductor
• Revisiting the spatially inhomogeneous condensates in the $(1+1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit
• Kink Crystal
• Exact BPS double-kinks in generalized ${\varphi }^4$, ${\varphi }^6$ and sine-Gordon models
• Thermal phonon fluctuations and stability of the magnetic dual chiral density wave phase in dense QCD
• Functional renormalization of QCD in $1+1$ dimensions: four-fermion interactions from quark-gluon dynamics
• Phase structure of the $O(2)$ ghost model with higher-order gradient term
• Tricritical curve of massive chiral Gross-Neveu model with isospin
• Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu--Jona-Lasinio model
• Gradient expansion technique for inhomogeneous, magnetized quark matter
• Exact tricritical point from next-to-leading-order stability analysis
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
• Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates
• Cascade of phase transitions in a planar Dirac material
• Condensates, crystals, and renormalons in the Gross-Neveu model at finite density
• Sine-Gordon kink lattice
• Temperature effects on the magnetization of quasi-one-dimensional Peierls distorted materials
• Universality, Lee-Yang singularities and series expansions
• Inhomogeneous Chiral Phase in Quark Matter
• Tsunami Solitons Emerging from Superconducting Gap
• Fermion number of twisted kinks in the NJL${}_2$ model, revisited
• A domain wall and chiral edge currents in holographic chiral phase transitions
• Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach
• The sign problem and Abelian lattice duality
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Solitons in lattice field theories via tight-binding supersymmetry
• Inhomogeneous Vacuum States in Nambu-Jona-Lasinio Model
• Supersymmetric construction of self-consistent condensates in large N GN model: solitons on finite-gap potentials
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
• On the Inhomogeneous Phase of the Chiral Gross-Neveu Model
• Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos
• Domain Wall in 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
• Axial anomaly and nesting in the inhomogeneous chiral phase
• Spontaneous Magnetization of Quark Matter in Inhomogeneous Chiral Phase
• Triple point in the $O(2)$ ghost model with higher-order gradient term
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities