# Competition and duality correspondence between chiral and superconducting channels in ( 2 + 1 )-dimensional four-fermion models with fermion number and chiral chemical potentials

@article{Ebert2016CompetitionAD,
title={Competition and duality correspondence between chiral and superconducting channels in ( 2 + 1 )-dimensional four-fermion models with fermion number and chiral chemical potentials},
author={Dietmar Ebert and Tamaz Khunjua and Konstantin Klimenko and Vladimir Ch. Zhukovsky},
journal={Physical Review D},
year={2016},
volume={93},
pages={105022-105023}
}
• Published 1 March 2016
• Physics
• Physical Review D
In this paper the duality correspondence between fermion-antifermion and difermion interaction channels is established in two ($2+1$)-dimensional Gross-Neveu\char21{}type models with a fermion number chemical potential $\ensuremath{\mu}$ and a chiral chemical potential ${\ensuremath{\mu}}_{5}$. The role and influence of this property on the phase structure of the models are investigated. In particular, it is shown that the chemical potential ${\ensuremath{\mu}}_{5}$ promotes the appearance of…
15 Citations

## Figures from this paper

Dualities in dense quark matter with isospin, chiral, and chiral isospin imbalance in the framework of the large- Nc limit of the NJL4 model
• Physics
Physical Review D
• 2018
In this paper the phase structure of the dense quark matter has been investigated in the presence of baryon ${\mu}_B$, isospin ${\mu}_I$, chiral ${\mu}_{5}$ and chiral isospin ${\mu}_{I5}$ chemical
Chiral phase transition of quark matter in the background of parallel electric and magnetic fields
• Physics
• 2016
AbstractWe report on our results about spontaneous chiral symmetry breaking for quark matter in the background of static and homogeneous parallel electric field, $${{\varvec{E}}}$$E, and magnetic
Superconductivity in chiral-asymmetric matter within the (2 + 1)-dimensional four-fermion model
• Physics
• 2017
The phase structure of chiral-asymmetric matter has been studied within the (2 + 1)-dimensional quantum-field theory with the fermion–antifermion and fermion–fermion (or superconducting) channels of
Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Physics
• 2016
In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, $\mu_5$, by means of a nonlocal Nambu-Jona-Lasinio model. This model
Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of the NJL2 model
• Physics
Physical Review D
• 2019
In this paper we investigate in the large-$N_c$ limit ($N_c$ is the number of colored quarks) the phase structure of a massless (1+1)-dimensional quark model with four-quark interaction and in the
Dense baryon matter with isospin and chiral imbalance in the framework of a NJL 4 model at large N c : Duality between chiral symmetry breaking and charged pion condensation
• Physics
• 2018
In this paper the phase structure of dense quark matter has been investigated in the presence of baryon, isospin and chiral isospin chemical potentials in the framework of (3+1)-dimensional
Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• Physics
The European Physical Journal C
• 2019
Hot and dense quark matter with isospin and chiral imbalances is investigated in the framework of the $$(3+1)$$(3+1)-dimensional Nambu–Jona-Lasinio model (NJL) in the large-$$N_c$$Nc limit ($$N_c$$Nc
Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Physics
Physical Review B
• 2021
We analyze the chiral symmetry breaking in a planar four-fermion model with non-null chemical potential, temperature and including the effect of the tilt of the Dirac cone. The system is modeled with
Inhomogeneous Phases in the Chirally Imbalanced 2 + 1-Dimensional Gross-Neveu Model and Their Absence in the Continuum Limit
• Physics
Symmetry
• 2022
We studied 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
QCD phase diagram with chiral imbalance in NJL model: duality and lattice QCD results
• Physics
Journal of Physics: Conference Series
• 2019
In addition to temperature and baryon chemical potential there are other parameters that matter in the real quark matter. One of them is isospin asymmetry which does exist in nature, for example, in

## References

SHOWING 1-10 OF 41 REFERENCES
Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL$_2$ model
• Physics
• 2014
We investigate the possibility of spatially homogeneous and inhomogeneous chiral fermion-antifermion condensation and superconducting fermion-fermion pairing in the (1+1)-dimensional model by Chodos
Duality between quark-quark and quark-antiquark pairing in (1+1)-dimensional large N models
We identify a canonical transformation which maps the chiral Gross-Neveu model onto a recently proposed Cooper pair model. Baryon number and axial charge are interchanged. The same physics can be
At the frontier of particle physics : handbook of QCD, Boris Ioffe Festschrift
• Physics
• 2001
QCD and weak interactions of light quarks, J. Bijnens heavy quarkonium dynamics, A. Hoang confinement in 2+1 dimensional Georgi-Glashow model, I. Kogan and A. Kovner uses of effective field theory in
Phys
• Rev. D 90, 045021
• 2014
Phys
• Rev. D 86, 105010
• 2012
C 16
• 205 (1983); D. Ebert, H. Reinhardt and M.K. Volkov, Prog. Part. Nucl. Phys. 33, 1
• 1994
Phys
• Rev.122, 345 (1961); Phys. Rev. 124, 246
• 1961
Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• 2016
Eur
• Phys. J. C 73, 2294 (2013); Eur. Phys. J. C 74, 2776 (2014); R. Gatto and M. Ruggieri, Phys. Rev. D 85, 054013 (2012); M. Ruggieri, arXiv:1110.4907; L. Yu, H. Liu and M. Huang, Phys. Rev. D 90, 074009 (2014); L. Yu, H. Liu and M. Huang, arXiv:1511.03073 [hep-ph]; G. Cao and P. Zhuang, Phys. Rev. D 9
• 2015
Int
• J. Mod. Phys. B 30, 1550257
• 2015