Pion and chiral density waves in a (1 + 1)-dimensional Nambu-Jona-Lasinio model

A (1 + 1)-dimensional massless Nambu-Jona-Lasinio model is investigated in the limit of a large number of colors. The model describes a system with two quark flavors if μ baryon and μ _I isospin chemical potentials occur. The question of whether spatially inhomogeneous chiral and pion condensates can form in a dense quark environment is also examined.