Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models

Abstract

We show the absence of an instability of homogeneous (chiral) condensates against spatially inhomogeneous perturbations for various 2+1-dimensional four-fermion and Yukawa models. All models are studied at non-zero baryon chemical potential, while some of them are also subjected to chiral and isospin chemical potential. The considered theories contain up to 16 Lorentz-(pseudo)scalar fermionic interaction channels. We prove the stability of homogeneous condensates by analyzing the bosonic two-point function, which can be expressed in a purely analytical form at zero temperature. Our analysis is presented in a general manner for all of the different discussed models. We argue that the absence of an inhomogeneous chiral phase (where the chiral condensate is spatially non-uniform) follows from this lack of instability. Furthermore, the existence of a moat regime, where the bosonic wave function renormalization is negative, in these models is ruled out.

arXiv comment26 pages (main text 15, appendix 11), 3 tables, 1 figure (plot script for reproduction of the data included in arXiv source file), v2: Extended the discussion section, no changes in the results. Version as accepted for publication in Physical Review D

References in corpus (98)

• NJL-model analysis of dense quark matter
• Electron fractionalization in two-dimensional graphenelike structures
• "Strongly interacting matter in magnetic fields": an overview
• The QCD phase structure at finite temperature and density
• Is graphene in vacuum an insulator?
• Chiral Phase Transition within Effective Models with Constituent Quarks
• Inhomogeneous chiral condensates
• The Phase Diagram of the Quark-Meson Model
• Chiral symmetry and density wave in quark matter
• Susceptibilities near the QCD (tri)critical point
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• QCD phase diagram for nonzero isospin-asymmetry
• Four - Fermi Theories in Fewer Than Four Dimensions
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• Asymptotic safety: a simple example
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Revised Phase Diagram of the Gross-Neveu Model
• Counting Rules of Nambu-Goldstone Modes
• Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
• Phase transition induced by a magnetic field
• Phase Structure of Four-Fermion Theories at Finite Temperature and Chemical Potential in Arbitrary Dimensions
• 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
• The Four-Fermi Model in Three Dimensions at Non-Zero Density and Temperature
• The low-temperature behavior of the quark-meson model
• The Three Dimensional Thirring Model for Small N_f
• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
• Signatures of Moat Regimes in Heavy-Ion Collisions
• Dyson-Schwinger study of chiral density waves in QCD
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Thermodynamics of quark matter with a chiral imbalance
• Topological doping and the stability of stripe phases
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• Inhomogeneous chiral phases away from the chiral limit
• The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Inhomogeneous chiral condensates in three-flavor quark matter
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• The Phase Diagram of the Three Dimensional Thirring Model
• Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry
• Monte Carlo Simulation of the Three Dimensional Thirring Model
• Phase diagram of the large $N$ Gross-Neveu model in a finite periodic box
• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Phase transitions in hexagonal, graphene-like lattice sheets and nanotubes under the influence of external conditions
• Quantum liquid-crystal order in resonant atomic gases
• 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
• Particle Interferometry in a Moat Regime
• The Lifshitz Regime and its Experimental Signals
• Evidence for BCS Diquark Condensation in the 3+1d Lattice NJL Model
• The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks
• Fermions in the pseudoparticle approach
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Consistent parameter fixing in the quark-meson model with vacuum fluctuations
• Coexistence of pion condensation and color superconductivity in two flavor quark matter
• Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
• Numerical Portrait of a Relativistic BCS Gapped Superfluid
• Comparison of the non-uniform chiral and 2SC phases at finite temperatures and densities
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Absence of chiral symmetry breaking in Thirring models in 1+2 dimensions
• Critical Behaviour in the Single Flavor Thirring Model in 2+1d
• Superconducting and excitonic quantum phase transitions in doped systems with Dirac electrons
• Inhomogeneous phases in the chirally imbalanced $2+1$-dimensional Gross-Neveu model and their absence in the continuum limit
• Fermi Surface Phenomena in the (2+1)d Four-Fermi Model
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Critical Behaviour in the Dense Planar NJL Model
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Influence of vector interactions on the favored shape of inhomogeneous chiral condensates
• Numerical simulation of graphene in external magnetic field
• The 2+1 Dimensional NJL Model at Finite Temperature
• Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors
• Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions
• Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
• Chiral spiral in the presence of chiral imbalance
• Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
• Superconducting phase transition in planar fermionic models with Dirac cone tilting
• Phase diagram of the 2+1-dimensional Gross-Neveu model with chiral imbalance
• Application of the Maximum Entropy Method to the (2+1)d Four-Fermion Model
• The Planar Thirring Model with Kähler-Dirac Fermions
• Interaction of static charges in graphene within Monte-Carlo simulation
• The phase structure of two color QCD and charged pion condensation phenomenon
• Remnants of large-$N_{\mathrm{f}}$ inhomogeneities in the 2-flavor chiral Gross-Neveu model
• Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions
• Tricritical curve of massive chiral Gross-Neveu model with isospin
• Mesons at finite baryon density in (2+1)d
• Cascade of phase transitions in a planar Dirac material
• The Lattice NJL Model at Non-zero Baryon and Isospin Densities
• Inhomogeneous phases in the 3+1-dimensional Nambu-Jona-Lasinio model and their dependence on the regularization scheme

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