Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model

@article{Basar2009InhomogeneousCI,
  title={Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model},
  author={Gokce Basar and Gerald V. Dunne and Michael Thies},
  journal={Physical Review D},
  year={2009},
  volume={79},
  pages={105012}
}
We analyze the thermodynamical properties, at finite density and nonzero temperature, of the (1+1) dimensional chiral Gross-Neveu model (the NJL{sub 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… Expand
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References

SHOWING 1-10 OF 55 REFERENCES
Twisted kink crystal in the chiral Gross-Neveu model
We present the detailed properties of a self-consistent crystalline chiral condensate in the massless chiral Gross-Neveu model. We show that a suitable ansatz for the Gorkov resolvent reduces the… Expand
Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
We study two-dimensional, large N field theoretic models (Gross-Neveu model, 't Hooft model) at finite baryon density near the chiral limit. The same mechanism which leads to massless baryons in… Expand
Solitonic ground states in (color) superconductivity
We present a general framework for analyzing inhomogeneous (color-)superconducting phases in the mean-field approximation without restriction to the Ginzburg-Landau approach. As a first application,… Expand
Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
The properties of the two-flavored Gross-Neveu model with nonzero current quark mass are investigated in the (1 + 1)-dimensional space-time at finite isospin μ I as well as quark number μ chemical… Expand
Chiral crystals in strong-coupling lattice QCD at nonzero chemical potential
We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action… Expand
Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems.
TLDR
It is shown that the functional gap equation can be reduced to a solvable nonlinear equation and implications for the temperature-chemical potential phase diagram are discussed. Expand
New baryon matter in the lattice Gross-Neveu model
We investigate the Gross-Neveu model on the lattice at finite temperature and chemical potential in the limit of an infinite number of fermion flavours. We check the universality of the continuum… Expand
Inhomogeneous superconductivity in condensed matter and QCD
Inhomogeneous superconductivity arises when the species participating in the pairing phenomenon have different Fermi surfaces with a large enough separation. In these conditions it could be more… Expand
The phase diagram of the infinite-N Gross-Neveu model at finite temperature and chemical potential
Abstract The phase diagram of the Gross-Neveu model as a function of renormalized temperature and chemical potential is worked out quantitatively. A line of transitions is found, that starts at the… Expand
Chirally symmetric but confining dense, cold matter
The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this… Expand
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