Duality between quark-quark and quark-antiquark pairing in (1+1)-dimensional large N models

  title={Duality between quark-quark and quark-antiquark pairing in (1+1)-dimensional large N models},
  author={Michael Thies},
  journal={Physical Review D},
  • M. Thies
  • Published 4 March 2003
  • Physics
  • Physical Review D
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). 

Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of the NJL2 model

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

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

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

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

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

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

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

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

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

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


At the Frontier of Particle Physics: Handbook of QCD