Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials

Abstract

The properties of the two-flavored Gross-Neveu model with nonzero current quark mass are investigated in the (1+1)-dimensional spacetime at finite isospin ${\mu }_I$ as well as quark number $\mu$ chemical potentials and zero temperature. The consideration is performed in the limit $N_c\to \infty$, i.e. in the case with an infinite number of colored quarks. In the plane of parameters ${\mu }_I,\mu$ a rather rich phase structure is found, which contains phases with and without pion condensation. We have found a great variety of one-quark excitations of these phases, including gapless and gapped quasiparticles. Moreover, the mesonic mass spectrum in each phase is also investigated.

18 pages, 8 figures, two references added

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Cited by in corpus (28)

• Quarkyonic Chiral Spirals
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field
• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• 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
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• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
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• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Meson Screening Mass in a Strongly Coupled Pion Superfluid
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
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• Extended supersymmetry of the self-isospectral crystalline and soliton chains
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• Quark-antiquark Scattering Phase Shift and Meson Spectral Function in Pion Superfluid
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
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• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
• Axial anomaly and nesting in the inhomogeneous chiral phase