# 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…

## Figures from this paper

## 94 Citations

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

- 2021

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…

Chiral spiral in the presence of chiral imbalance

- PhysicsPhysical Review D
- 2018

The phase diagram of the two-dimensional Nambu-Jona-Lasinio (or chiral Gross-Neveu) model is characterized by an order parameter in the form of a chiral spiral. Its radius vanishes at a critical…

Suppression of superconductivity by inhomogeneous chiral condensation in the NJL2 model

- Physics
- 2013

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

- Physics
- 2021

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

- Physics
- 2009

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

- Physics
- 2020

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…

Inhomogeneous chiral condensates

- Physics
- 2015

Abstract The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral…

Symmetries in the Gross-Neveu Phase Diagram

- Physics
- 2010

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

- PhysicsPhysical Review D
- 2018

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

- PhysicsPhysical Review D
- 2021

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 55 REFERENCES

Twisted kink crystal in the chiral Gross-Neveu model

- Physics, Mathematics
- 2008

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…

Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density

- Physics
- 2000

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…

Solitonic ground states in (color) superconductivity

- Physics
- 2009

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

- Physics
- 2009

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

- Physics
- 2006

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.

- Physics, MedicinePhysical review letters
- 2008

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.

New baryon matter in the lattice Gross-Neveu model

- Physics
- 2006

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…

Inhomogeneous superconductivity in condensed matter and QCD

- Physics
- 2004

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…

The phase diagram of the infinite-N Gross-Neveu model at finite temperature and chemical potential

- Physics
- 1985

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…

Chirally symmetric but confining dense, cold matter

- Physics
- 2008

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…