Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials

Abstract

In this paper we investigate the phase structure of a (1+1)-dimensional schematic quark model with four-quark interaction and in the presence of baryon (${\mu }_B$), isospin (${\mu }_I$) and chiral isospin (${\mu }_{I5}$) chemical potentials. It is established that in the large-$N_c$ limit ($N_c$ is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation (PC) one. The role and influence of this property on the phase structure of the model are studied. Moreover, it is shown that the chemical potential ${\mu }_{I5}$ promotes the appearance of the charged PC phase with nonzero baryon density.

16 pages, 11 figures; minor changes of the text; figure and references added; version accepted for publication in PRD

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Cited by in corpus (5)

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• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Magnetic catalysis of a finite size pion condensate
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities