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… 

Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In

Inhomogeneous phases in the 2 + 1-dimensional Gross-Neveu model via mean-eld lattice eld theory

The focus of this thesis is the investigation of 2 + 1-dimensional Gross-Neveu model in the limit of in nite fermion avors (the large-Nf limit) via meaneld lattice eld theory. The phase diagram of

Suppression of superconductivity by inhomogeneous chiral condensation in the NJL2 model

We investigate the possibility of spatially inhomogeneous chiral and Cooper, or superconducting, pairing in the (1+1)-dimensional model by Chodos et al. [Phys. Rev. D 61, 045011 (2000)] generalized

Inhomogeneous Phases in the Chirally Imbalanced 2 + 1-Dimensional Gross-Neveu Model and Their Absence in the Continuum Limit

We study the μ-μ45-T phase diagram of the 2+1-dimensional Gross-Neveu model, where μ denotes the ordinary chemical potential, μ45 the chiral chemical potential and T the temperature. We use the

Inhomogeneous phases near the chiral critical point in NJL-type models

In this talk we discuss the role of inhomogeneous phases in the phase diagram of the Nambu-Jona-Lasinio (NJL) and the quark meson (QM) model. By means of a generalized Ginzburg-Landau (GL) expansion

Phase diagram of the large N Gross-Neveu model in a finite periodic box

We analyze the Gross-Neveu model in the limit of large number of flavors of massless fermions. We study the phase diagram in a two and three dimensional periodic box at a fixed thermal to spatial

Symmetries in the Gross-Neveu Phase Diagram

The existence of crystalline condensates in the temperature and chemical potential phase diagram of the Gross-Neveu models can be traced to intricate symmetries of the associated inhomogeneous gap

Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu–Jona-Lasinio model

We study the dynamics of inhomogeneous scalar and pseudoscalar chiral order parameters within the framework of the time-dependent Ginzburg-Landau equations. We utilize a nonlocal chiral quark model

Twisted kink crystal in holographic superconductor

Holographic superconductor model represents various inhomogeneous solutions with homogeneous sources. In this paper, we study inhomogeneous structures in the presence of the homogeneous current and
...

References

SHOWING 1-10 OF 59 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

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,

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

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

Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems.

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.

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

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

From relativistic quantum fields to condensed matter and back again: updating the Gross-Neveu phase diagram

During the last few years, the phase diagram of the large N Gross–Neveu model in 1 + 1 dimensions at finite temperature and chemical potential has undergone a major revision. Here, we present a
...