Duality between quark-quark and quark-antiquark pairing in (1+1)-dimensional large N models
@article{Thies2003DualityBQ, title={Duality between quark-quark and quark-antiquark pairing in (1+1)-dimensional large N models}, author={Michael Thies}, journal={Physical Review D}, year={2003}, volume={68}, pages={047703} }
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 described either as chiral symmetry breaking (quark-antiquark pairing) or as superconductivity (quark-quark pairing).
12 Citations
Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of the NJL2 model
- PhysicsPhysical 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…
Inhomogeneous Chiral and Coulomb Crystal in Neutron Stars
- PhysicsProceedings of the International Astronomical Union
- 2017
Abstract We study the possibility of two types of inhomogeneous phases in core of neutron stars: one is the Coulomb crystal, which is known as quark-hadron pasta structures, and another one is chiral…
Competition and duality correspondence between chiral and superconducting channels in ( 2 + 1 )-dimensional four-fermion models with fermion number and chiral chemical potentials
- Physics
- 2016
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…
Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in the framework of effective model
- PhysicsJournal of High Energy Physics
- 2019
It has been shown in [15, 70] in the framework of Nambu-Jona-Lasinio model with the assumption of spatially homogeneous condensates that in the large-Nc limit (Nc is the number of quark colours)…
Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities
- PhysicsParticles
- 2020
Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD…
Axial anomaly and nesting in the inhomogeneous chiral phase
- Physics
- 2018
Axial anomaly and nesting is elucidated in the context of the inhomogeneous chiral phase. Using the Gross-Neveu models in 1+1 dimensions, we shall discuss axial anomaly and nesting from two different…
Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
- PhysicsThe 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…
Dualities in dense quark matter with isospin, chiral, and chiral isospin imbalance in the framework of the large- Nc limit of the NJL4 model
- PhysicsPhysical 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…
Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation
- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022
The phase diagram of the (1 + 1)-dimensional Gross–Neveu model is reanalyzed for (non-)zero chemical potential and (non-)zero temperature within the mean-field approximation. By investigating the…
From relativistic quantum fields to condensed matter and back again: updating the Gross-Neveu phase diagram
- Physics
- 2006
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…