Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model

Abstract

In this paper we investigate the phase structure of a (1+1)-dimensional quark model with four-quark interaction and in the presence of baryon (${\mu }_B$), isospin (${\mu }_I$) and chiral isospin (${\mu }_{I5}$) chemical potentials. Spatially inhomogeneous chiral density wave (for chiral condensate) and single wave (for charged pion condensate) approaches are used. 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. Moreover, it is shown that inhomogeneous charged PC phase with nonzero baryon density is induced in the model by arbitrary small values of the chemical potential ${\mu }_{I5}$ (for a rather large region of ${\mu }_B$ and ${\mu }_I$).

16 pages, 7 figures; typos corrected, new figure, references added, discussions added, accepted for publication in PRD

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• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Tricritical curve of massive chiral Gross-Neveu model with isospin
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities